10/31/2011 Obj: SWBAT find the distance between a point and a line and the distance between parallel...

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10/31/2011 Obj: SWBAT find the distance between a point and a line and the distance between parallel lines by applying knowledge of slopes and the distance formula. Parking Lot: pg 155 #34-37 Bell Ringer: – Pg155 #25-31odds 1. Homework Requests: HW: pg 163 #17-27 HW Adjustment 19-24 Follow steps 1-4 for problem set up (See page 4 of this document.) Fundamental Questions 2.What does distance between a point & a line really mean? .

Transcript of 10/31/2011 Obj: SWBAT find the distance between a point and a line and the distance between parallel...

Page 1: 10/31/2011 Obj: SWBAT find the distance between a point and a line and the distance between parallel lines by applying knowledge of slopes and the distance.

10/31/2011 Obj: SWBAT find the distance between a point and a line and the distance between parallel lines by applying knowledge of slopes and the distance formula. Parking Lot: pg 155 #34-37

Bell Ringer: – Pg155 #25-31odds 1. Homework Requests:HW: pg 163 #17-27 HW Adjustment 19-24 Follow steps 1-4 for problem set up (See page 4 of this document.)Fundamental Questions2. What does distance between a point & a line really mean? 3. What does equidistant mean?4. How do we measure the distance between 2 || lines? Pg 161

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Page 2: 10/31/2011 Obj: SWBAT find the distance between a point and a line and the distance between parallel lines by applying knowledge of slopes and the distance.

Fundamental Questions1. What does distance between a point & a line really mean?

a. This becomes our definition for distance between a point and a line

2. How do we measure the distance between 2 || lines?

Page 3: 10/31/2011 Obj: SWBAT find the distance between a point and a line and the distance between parallel lines by applying knowledge of slopes and the distance.

Fundamental Questions3. What does equidistant mean?

• Same distance apart at every point.• A point is said to be equidistant from a set of objects if the

distances between that point and each object in the set are equal.• http://en.wikipedia.org/wiki/Equidistant

4. How do we measure the distance between 2 || lines? Pg 161

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Fundamental Questions(Draw pictures along with Mrs. Harton)4. Question: Find the distance between two || lines, line1 and line2.

Steps:5. Choose a line as the anchor line. Call it line1, the other line is line2.6. Choose any point on line1. Call it (, ). 7. Find using line1.8. Write equation using slope and point in step 2. Call this line, .9. Find where intersects line2. Call intersection, (, ).

a. (Solve a system of linear equations using and line2; Find (, ). 6. Use distance formula with points (, ), and (, ) to find distance.

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11/1/2011Obj: SWBAT find the distance between a point and a line and the distance between parallel lines by applying knowledge of slopes and the distance formula.

Bell Ringer: Finish example from yesterdayHW: pg 163 #19, 21, p. 181 #14, 16 & #22-38 evens, 39; Read Section 4.2. Take Notes copy proof of angle sum theoremQuiz 4.1, 4.2 Friday.pg 155 #34-37Fundamental Questions1. What does distance between a point & a line really mean? 2. How do we measure the distance between 2 || lines? How

do we classify triangles by angles and sides?

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Geometry Date: 11/2/2011 Sect. 4.2 pg 185-188 ID CheckObjective: SWBAT use and apply the sum theorem and the Exterior angle theorem in determining angle measure in .Parking Lot: pg 163 #17, 18, 20, 22, 23, 24, 25, 26

Do Now: pg 155 #34; pg. 182 Begin set up of #38

HW Requests: pg 163 #19, 21, p. 181 #14, 16 & #22-38 evens, #38, 39;HW: pg 189 12, 14-17; 18-34 evens, 45; HW Adjust: Lesson 4-1 pg 760 #1-9; Turn in on separate sheet of paper pg 155 #35- 37; 182 #38, 39; Copy Question, draw & mark up figure; Read Sect. 4.3 - Take Notes

Read Sect. 4.3 - Take Notes Quiz 4.1, 4.2 Friday

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Geometry Date: 11/4/2011 Sect. 4.2 pg 185-188 ID CheckObjective: SWBAT use and apply the sum theorem and the Exterior angle theorem in determining angle measure in .Parking Lot: pg 163 #17, 18, 20, 22, 23, 24, 25, 26

Do Now: Go over 10 Week Exam

HW Requests: Lesson 4-1 pg 760 #1-9; HW: pg 189 12, 14-17; 18-34 evens, 45; sheet of paper pg 155 #35- 37; 182 #38, 39; Copy Question, draw & mark up figure; Read Sect. 4.3 - Take Notes

Read Sect. 4.3 - Take Notes Quiz 4.1, 4.2 Friday

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FQ 1: What do we know about the angle sum in a triangle? Angle Sum Theorem pg 185

m m+ m = 180FQ 2: What is it about 3rd angles in a triangle?FQ 3: Right angles have properties too, what are they? FQ 4: What is an exterior angle and how do we find it? FQ 5: What is a remote angle?

FQ 6: Why does the exterior angle theorem work any way?

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FQ 2: What is it about 3rd angles in a triangle?Third Angle Theorem

Theorem 4.2 Third Angle Theorem – If 2 angles of one triangle are congruent to 2 angles of a 2nd triangle, then the third angles of the triangles are congruent.

FQ 3: Right angles have properties too, what are they?Corollaries 4.1, 4.2

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Exterior Angle TheoremTheorem 4.3 Exterior Angle Theorem – The measure of an

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. (Pg 109)

FQ 4: What is an exterior angle and how do we find it? FQ 5: What is a remote angle? FQ 6: Why does the exterior angle theorem work any way?