Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in...
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Transcript of Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in...
![Page 1: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/1.jpg)
Geometry
Today:• Over 6.4
Vocab• 6.4
Instruction• Practice
Every moment in planning saves 3 or 4 in execution.
Crawford Greenwalt
![Page 2: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/2.jpg)
Assignment:– 6.4 Intro WS
Geometry
Every moment in planning saves 3 or 4 in execution.
Crawford Greenwalt
![Page 3: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/3.jpg)
1.
2.
3.
4.
5.
REVIEW:
What are the properties of a parallelogram?
6.3
![Page 4: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/4.jpg)
6.4 Rhombuses, Rectangles, & Squares
Objectives:1.Know special parallelograms2.Know properties of special
parallelograms
Vocabulary:square, rhombus, rectangle
![Page 5: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/5.jpg)
vocabulary
Rectangle – a quadrilateral with 4 right angles
6.4
![Page 6: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/6.jpg)
Facts about a rectangle.
Has ALL properties of a parallelogramHas four right angles.
-Diagonals are congruent.
A parallelogram is a rectangle iff the diagonals are congruent.
6.47 Properties
![Page 7: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/7.jpg)
vocabulary
Rhombus: a quadrilateral with 4 congruent sides
6.4
![Page 8: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/8.jpg)
Facts about a rhombus.
- Diagonals are - Diagonals bisect angles.A parallelogram is a rhombus iff the
diagonals are perpendicular.
A parallelogram is a rhombus iff the diagonals bisect the angles.
6.4
Has ALL properties of a parallelogramHas four congruent sides.
8 Properties
![Page 9: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/9.jpg)
vocabulary
Square – a quadrilateral with 4 right angles and 4 congruent sides – it is both a rhombus and a rectangle
6.4
![Page 10: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/10.jpg)
Facts about a square.
Has ALL properties of a parallelogram
Has ALL properties of a rectangle.
6.4
10 Properties
Has ALL properties of a rhombus.
![Page 11: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/11.jpg)
Quadrilaterals
(4 sides)
Parallelograms
(opp. sides ll)
Rhombus(all sides )
Rectangles(all right ’s)
Square(Rect & Rhomb)
6.6
![Page 12: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/12.jpg)
• What type of quadrilateral is ABCD?
• Rectangle
• Parallelogram
A B
CD
![Page 13: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/13.jpg)
Questions about special quadrilaterals.
Answer each question with A, S, N for always, sometimes, and never true.1. A rectangle is a square
2. A square is a rhombus
3. A rectangle is a parallelogram
4. A rectangle is a rhombus
6.4
![Page 14: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/14.jpg)
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite sides parallel
Exactly 1 pair of opposite sides parallel
Diagonals perpendicular
Diagonals congruent
Diagonals bisect each other
Both pairs of opposite sides are congruent
Exactly one pair of opposite sides are congruent
All sides are congruent
Both pairs of opposite angles are congruent
Exactly one pair of opposite angles are congruent
All angles are congruent
![Page 15: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/15.jpg)
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite.sides parallel XExactly 1 pair of opposite sides parallel
Diagonals perpendicular
Diagonals congruent
Diagonals bisect each other XBoth pairs of opposite sides are congruent XExactly one pair of opposite sides are congruent
All sides are congruent
Both pairs of opposite angles are congruent XExactly one pair of opposite angles are congruent
All angles are congruent
![Page 16: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/16.jpg)
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite.sides parallel X XExactly 1 pair of opposite sides parallel
Diagonals perpendicular
Diagonals congruent XDiagonals bisect each other X XBoth pairs of opposite sides are congruent X XExactly one pair of opposite sides are congruent
All sides are congruent
Both pairs of opposite angles are congruent X XExactly one pair of opposite angles are congruent
All angles are congruent X
![Page 17: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/17.jpg)
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite.sides parallel X X XExactly 1 pair of opposite sides parallel
Diagonals perpendicular XDiagonals congruent XDiagonals bisect each other X X XBoth pairs of opposite sides are congruent X X XExactly one pair of opposite sides are congruent
All sides are congruent XBoth pairs of opposite angles are congruent X X XExactly one pair of opposite angles are congruent
All angles are congruent X
![Page 18: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/18.jpg)
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite.sides parallel X X X XExactly 1 pair of opposite sides parallel
Diagonals perpendicular X XDiagonals congruent X XDiagonals bisect each other X X X XBoth pairs of opposite sides are congruent X X X XExactly one pair of opposite sides are congruent
All sides are congruent X XBoth pairs of opposite angles are congruent X X X XExactly one pair of opposite angles are congruent
All angles are congruent X X
![Page 19: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/19.jpg)
Questions about special quadrilaterals.
List all the special quadrilaterals that have each property:
1. Diagonals are congruent
2. Diagonals are perpendicular
3. Consecutive angles are supplementary.
4. Regular Polygon
6.4
![Page 20: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/20.jpg)
MNOP is a rectangle with interior point A. If MA = 6x + 4 and PA = 7x – 4, find PN.
6.4
![Page 21: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/21.jpg)
A
D C
B
5x + 8°
3x + 2°
6.4
Find x and y, such that ABCD is a rectangle.
6y + 2°
![Page 22: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/22.jpg)
QRST is a rhombus. Find x and y, if m1 = y2 – 54, m2 = 5x + 7 and m3 = 7x – 1.
Q
R
T
S
23
6.4
1
![Page 23: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/23.jpg)
Is ABCD a square, rectangle or rhombus?
D
A
C
Bx + 7
3y +
3
6.4
2x – 4
4y –
2
10z + 5°8z + 13°
![Page 24: Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt.](https://reader030.fdocuments.us/reader030/viewer/2022032722/56649cee5503460f949bc5d6/html5/thumbnails/24.jpg)
Assignment:– 6.4 p 351 #
16-38– Test Chapter 6
on Wednesday
GeometryEvery moment in planning saves 3 or 4 in execution.
Crawford Greenwalt