Geometry Section 6-2 1112
-
Upload
jimbo-lamb -
Category
Education
-
view
912 -
download
2
description
Transcript of Geometry Section 6-2 1112
![Page 1: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/1.jpg)
SECTION 6-2Parallelograms
Tuesday, April 10, 2012
![Page 2: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/2.jpg)
Essential Questions
How do you recognize and apply properties of the sides and angles of parallelograms?
How do you recognize and apply properties of the diagonals of parallelograms?
Tuesday, April 10, 2012
![Page 3: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/3.jpg)
Vocabulary
1. Parallelogram:
Tuesday, April 10, 2012
![Page 4: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/4.jpg)
Vocabulary
1. Parallelogram: A quadrilateral that has two pairs of parallel sides
Tuesday, April 10, 2012
![Page 5: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/5.jpg)
Properties and Theorems6.3 - Opposite Sides:
6.4 - Opposite Angles:
6.5 - Consecutive Angles:
6.6 - Right Angles:
Tuesday, April 10, 2012
![Page 6: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/6.jpg)
Properties and Theorems6.3 - Opposite Sides: If a quadrilateral is a parallelogram, then its
opposite sides are congruent
6.4 - Opposite Angles:
6.5 - Consecutive Angles:
6.6 - Right Angles:
Tuesday, April 10, 2012
![Page 7: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/7.jpg)
Properties and Theorems6.3 - Opposite Sides: If a quadrilateral is a parallelogram, then its
opposite sides are congruent
6.4 - Opposite Angles: If a quadrilateral is a parallelogram, then its opposite angles are congruent
6.5 - Consecutive Angles:
6.6 - Right Angles:
Tuesday, April 10, 2012
![Page 8: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/8.jpg)
Properties and Theorems6.3 - Opposite Sides: If a quadrilateral is a parallelogram, then its
opposite sides are congruent
6.4 - Opposite Angles: If a quadrilateral is a parallelogram, then its opposite angles are congruent
6.5 - Consecutive Angles: If a quadrilateral is a parallelogram, then its consecutive angles are supplementary
6.6 - Right Angles:
Tuesday, April 10, 2012
![Page 9: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/9.jpg)
Properties and Theorems6.3 - Opposite Sides: If a quadrilateral is a parallelogram, then its
opposite sides are congruent
6.4 - Opposite Angles: If a quadrilateral is a parallelogram, then its opposite angles are congruent
6.5 - Consecutive Angles: If a quadrilateral is a parallelogram, then its consecutive angles are supplementary
6.6 - Right Angles: If a quadrilateral has one right angle, then it has four right angles
Tuesday, April 10, 2012
![Page 10: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/10.jpg)
Properties and Theorems6.7 - Bisecting Diagonals:
6.8 - Triangles from Diagonals:
Tuesday, April 10, 2012
![Page 11: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/11.jpg)
Properties and Theorems6.7 - Bisecting Diagonals: If a quadrilateral is a parallelogram, then its
diagonals bisect each other
6.8 - Triangles from Diagonals:
Tuesday, April 10, 2012
![Page 12: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/12.jpg)
Properties and Theorems6.7 - Bisecting Diagonals: If a quadrilateral is a parallelogram, then its
diagonals bisect each other
6.8 - Triangles from Diagonals: If a quadrilateral is a parallelogram, then each diagonal separates the parallelogram into two congruent triangles
Tuesday, April 10, 2012
![Page 13: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/13.jpg)
Example 1In ▱ABCD, suppose m∠B = 32°, CD = 80 inches, and BC = 15 inches.
Find each measure.
a. AD
b. m∠C
c. m∠D
Tuesday, April 10, 2012
![Page 14: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/14.jpg)
Example 1In ▱ABCD, suppose m∠B = 32°, CD = 80 inches, and BC = 15 inches.
Find each measure.
a. AD 15 inches
b. m∠C
c. m∠D
Tuesday, April 10, 2012
![Page 15: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/15.jpg)
Example 1In ▱ABCD, suppose m∠B = 32°, CD = 80 inches, and BC = 15 inches.
Find each measure.
a. AD 15 inches
b. m∠C = 180 − 32
c. m∠D
Tuesday, April 10, 2012
![Page 16: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/16.jpg)
Example 1In ▱ABCD, suppose m∠B = 32°, CD = 80 inches, and BC = 15 inches.
Find each measure.
a. AD 15 inches
b. m∠C = 180 − 32 = 148°
c. m∠D
Tuesday, April 10, 2012
![Page 17: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/17.jpg)
Example 1In ▱ABCD, suppose m∠B = 32°, CD = 80 inches, and BC = 15 inches.
Find each measure.
a. AD 15 inches
b. m∠C = 180 − 32 = 148°
c. m∠D = 32°
Tuesday, April 10, 2012
![Page 18: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/18.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r b. s
c. t
Tuesday, April 10, 2012
![Page 19: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/19.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
b. s
c. t
Tuesday, April 10, 2012
![Page 20: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/20.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
4r = 18
b. s
c. t
Tuesday, April 10, 2012
![Page 21: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/21.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
4r = 18
r = 4.5
b. s
c. t
Tuesday, April 10, 2012
![Page 22: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/22.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
4r = 18
r = 4.5
b. s
ZV = VX c. t
Tuesday, April 10, 2012
![Page 23: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/23.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
4r = 18
r = 4.5
b. s
ZV = VX
8s = 7s + 3
c. t
Tuesday, April 10, 2012
![Page 24: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/24.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
4r = 18
r = 4.5
b. s
ZV = VX
8s = 7s + 3
s = 3
c. t
Tuesday, April 10, 2012
![Page 25: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/25.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
4r = 18
r = 4.5
b. s
ZV = VX
8s = 7s + 3
s = 3
c. t
m∠VWX = m∠VYZ
Tuesday, April 10, 2012
![Page 26: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/26.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
4r = 18
r = 4.5
b. s
ZV = VX
8s = 7s + 3
s = 3
c. t
m∠VWX = m∠VYZ
2t = 18
Tuesday, April 10, 2012
![Page 27: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/27.jpg)
Example 2If WXYZ is a parallelogram, find the value of the indicated variable.
m∠VWX = (2t)°, m∠VYX = 40°, m∠VYZ =18°,
WX = 4r, ZV = 8s, VX = 7s + 3, ZY =18
a. r
WX = ZY
4r = 18
r = 4.5
b. s
ZV = VX
8s = 7s + 3
s = 3
c. t
m∠VWX = m∠VYZ
2t = 18 t = 9
Tuesday, April 10, 2012
![Page 28: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/28.jpg)
Example 3What are the coordinates of the intersection of the diagonals of
parallelogram MNPR with vertices M(−3, 0), N(−1, 3), P(5, 4) , and R(3, 1)?
M =
x1+ x
2
2,y
1+ y
2
2
⎛
⎝⎜⎞
⎠⎟
Tuesday, April 10, 2012
![Page 29: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/29.jpg)
Example 3What are the coordinates of the intersection of the diagonals of
parallelogram MNPR with vertices M(−3, 0), N(−1, 3), P(5, 4) , and R(3, 1)?
M =
x1+ x
2
2,y
1+ y
2
2
⎛
⎝⎜⎞
⎠⎟
M(MP ) =
−3+ 52
,0 + 4
2
⎛⎝⎜
⎞⎠⎟
Tuesday, April 10, 2012
![Page 30: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/30.jpg)
Example 3What are the coordinates of the intersection of the diagonals of
parallelogram MNPR with vertices M(−3, 0), N(−1, 3), P(5, 4) , and R(3, 1)?
M =
x1+ x
2
2,y
1+ y
2
2
⎛
⎝⎜⎞
⎠⎟
M(MP ) =
−3+ 52
,0 + 4
2
⎛⎝⎜
⎞⎠⎟ =
22
,42
⎛⎝⎜
⎞⎠⎟
Tuesday, April 10, 2012
![Page 31: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/31.jpg)
Example 3What are the coordinates of the intersection of the diagonals of
parallelogram MNPR with vertices M(−3, 0), N(−1, 3), P(5, 4) , and R(3, 1)?
M =
x1+ x
2
2,y
1+ y
2
2
⎛
⎝⎜⎞
⎠⎟
M(MP ) =
−3+ 52
,0 + 4
2
⎛⎝⎜
⎞⎠⎟ =
22
,42
⎛⎝⎜
⎞⎠⎟ = 1, 2( )
Tuesday, April 10, 2012
![Page 32: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/32.jpg)
Example 3What are the coordinates of the intersection of the diagonals of
parallelogram MNPR with vertices M(−3, 0), N(−1, 3), P(5, 4) , and R(3, 1)?
M =
x1+ x
2
2,y
1+ y
2
2
⎛
⎝⎜⎞
⎠⎟
M(MP ) =
−3+ 52
,0 + 4
2
⎛⎝⎜
⎞⎠⎟ =
22
,42
⎛⎝⎜
⎞⎠⎟ = 1, 2( )
M(NR) =
−1+ 32
,3+1
2
⎛⎝⎜
⎞⎠⎟
Tuesday, April 10, 2012
![Page 33: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/33.jpg)
Example 3What are the coordinates of the intersection of the diagonals of
parallelogram MNPR with vertices M(−3, 0), N(−1, 3), P(5, 4) , and R(3, 1)?
M =
x1+ x
2
2,y
1+ y
2
2
⎛
⎝⎜⎞
⎠⎟
M(MP ) =
−3+ 52
,0 + 4
2
⎛⎝⎜
⎞⎠⎟ =
22
,42
⎛⎝⎜
⎞⎠⎟ = 1, 2( )
M(NR) =
−1+ 32
,3+1
2
⎛⎝⎜
⎞⎠⎟
=22
,42
⎛⎝⎜
⎞⎠⎟
Tuesday, April 10, 2012
![Page 34: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/34.jpg)
Example 3What are the coordinates of the intersection of the diagonals of
parallelogram MNPR with vertices M(−3, 0), N(−1, 3), P(5, 4) , and R(3, 1)?
M =
x1+ x
2
2,y
1+ y
2
2
⎛
⎝⎜⎞
⎠⎟
M(MP ) =
−3+ 52
,0 + 4
2
⎛⎝⎜
⎞⎠⎟ =
22
,42
⎛⎝⎜
⎞⎠⎟ = 1, 2( )
M(NR) =
−1+ 32
,3+1
2
⎛⎝⎜
⎞⎠⎟
=22
,42
⎛⎝⎜
⎞⎠⎟ = 1, 2( )
Tuesday, April 10, 2012
![Page 35: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/35.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
Tuesday, April 10, 2012
![Page 36: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/36.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
1. ABCD is a parallelogram, AC and BD are diagonals,
P is the intersection of AC and BD
Tuesday, April 10, 2012
![Page 37: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/37.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
1. ABCD is a parallelogram, AC and BD are diagonals,
P is the intersection of AC and BD1. Given
Tuesday, April 10, 2012
![Page 38: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/38.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
1. ABCD is a parallelogram, AC and BD are diagonals,
P is the intersection of AC and BD1. Given
2. AB is parallel to CD
Tuesday, April 10, 2012
![Page 39: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/39.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
1. ABCD is a parallelogram, AC and BD are diagonals,
P is the intersection of AC and BD1. Given
2. Definition of parallelogram2. AB is parallel to CD
Tuesday, April 10, 2012
![Page 40: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/40.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
1. ABCD is a parallelogram, AC and BD are diagonals,
P is the intersection of AC and BD1. Given
2. Definition of parallelogram
3. ∠BAC ≅ ∠ACD, ∠BDC ≅ ∠DBA
2. AB is parallel to CD
Tuesday, April 10, 2012
![Page 41: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/41.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
1. ABCD is a parallelogram, AC and BD are diagonals,
P is the intersection of AC and BD1. Given
2. Definition of parallelogram
3. ∠BAC ≅ ∠ACD, ∠BDC ≅ ∠DBA
2. AB is parallel to CD
3. Alt. int. ∠’s of parallel lines ≅
Tuesday, April 10, 2012
![Page 42: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/42.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
1. ABCD is a parallelogram, AC and BD are diagonals,
P is the intersection of AC and BD1. Given
2. Definition of parallelogram
3. ∠BAC ≅ ∠ACD, ∠BDC ≅ ∠DBA
2. AB is parallel to CD
3. Alt. int. ∠’s of parallel lines ≅
4. AB ≅ DC
Tuesday, April 10, 2012
![Page 43: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/43.jpg)
Example 4Given ▱ABCD, AC and BD are diagonals, P is the intersection of AC
and BD, prove that AC and BD bisect each other.
1. ABCD is a parallelogram, AC and BD are diagonals,
P is the intersection of AC and BD1. Given
2. Definition of parallelogram
3. ∠BAC ≅ ∠ACD, ∠BDC ≅ ∠DBA
2. AB is parallel to CD
3. Alt. int. ∠’s of parallel lines ≅
4. AB ≅ DC 4. Opposite sides of parallelograms ≅
Tuesday, April 10, 2012
![Page 44: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/44.jpg)
Example 4
Tuesday, April 10, 2012
![Page 45: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/45.jpg)
Example 4
5. ∆APB ≅ ∆CPD
Tuesday, April 10, 2012
![Page 46: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/46.jpg)
Example 4
5. ∆APB ≅ ∆CPD 5. ASA
Tuesday, April 10, 2012
![Page 47: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/47.jpg)
Example 4
5. ∆APB ≅ ∆CPD 5. ASA
6. AP ≅ CP, DP ≅ BP
Tuesday, April 10, 2012
![Page 48: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/48.jpg)
Example 4
5. ∆APB ≅ ∆CPD 5. ASA
6. AP ≅ CP, DP ≅ BP 6. CPCTC
Tuesday, April 10, 2012
![Page 49: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/49.jpg)
Example 4
5. ∆APB ≅ ∆CPD 5. ASA
6. AP ≅ CP, DP ≅ BP 6. CPCTC
7. AC and BD bisect each other
Tuesday, April 10, 2012
![Page 50: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/50.jpg)
Example 4
5. ∆APB ≅ ∆CPD 5. ASA
6. AP ≅ CP, DP ≅ BP 6. CPCTC
7. AC and BD bisect each other 7. Def. of bisect
Tuesday, April 10, 2012
![Page 51: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/51.jpg)
Check Your Understanding
Review #1-8 on p. 403
Tuesday, April 10, 2012
![Page 52: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/52.jpg)
Problem Set
Tuesday, April 10, 2012
![Page 53: Geometry Section 6-2 1112](https://reader034.fdocuments.us/reader034/viewer/2022051611/54b48ad04a7959e1618b469e/html5/thumbnails/53.jpg)
Problem Set
p. 403 #9-23 odd, 27-35 odd, 43, 51, 57
“The best way to predict the future is to invent it.” - Alan Kay
Tuesday, April 10, 2012