Sorting Quadrilaterals Activity

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Sorting Quadrilaterals Activity
1a. Remove the Concave quadrilaterals? Which did
you remove?
Concave
From Geometry Teachers Activity Workbook p 114
115
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1b. The Rest
Convex
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2. Which of these have no parallel sides?
Trapeziums
Remove them from your stack.
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3. Which of the remaining quadrilaterals have 1
pair of parallel sides?
Trapezoids
Remove them from your stack.
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4. Which of the remaining quadrilaterals have 2
sets of parallel sides?
Parallelograms
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5. Which of the parallelograms have 4 right
angles?
Rectangles
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6. Which of the rectangles have 4 congruent
sides?
Squares
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7. Collect all of the parallelograms. Which of
the parallelograms have 4 congruent sides?
Rhombi
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8-3 Tests for Parallelograms
How do you know if you have one?
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There are 6 different ways
1.BOTH pairs of opposite sides are parallel
2.BOTH pairs of opposite sides are congruent
3. BOTH pairs of opposite angles are congruent
4.ONE angle is supplementary to BOTH consecutive
angles
5.diagonals BISECT each other
6. ONE pair of opposite sides are CONGRUENT
PARALLEL
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Do you have enough information?
Yes
Yes
No
Yes
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Do you have enough information?
Yes
No
Yes
Yes
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8-4 Special Quadrilaterals
SQUARES
RECTANGLES
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Special Parallelograms
RHOMBUS
RECTANGLE
SQUARE
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A quadrilateral is a RECTANGLE if and only if it
has four right angles
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RECTANGLE
FOUR RIGHT ANGLES
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RECTANGLE
Diagonals are Congruent
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Foldable
Fold over the second cut section and write
RECTANGLE on the outside.
1. Opposite angles are congruent. 2. Consecutive
angles are supplementary. 3. Opposite sides are
congruent. 4. Diagonals bisect each other. 5.
Diagonals make 2 congruent triangles.
RECTANGLE
Reopen the fold.
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Foldable
On the left hand section, draw a rectangle.
1. Opposite angles are congruent. 2. Consecutive
angles are supplementary. 3. Opposite sides are
congruent. 4. Diagonals bisect each other. 5.
Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram. 2. Has 4
right angles 3. Diagonals are congruent.
On the right hand side, list all of the
properties of a rectangle.
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A quadrilateral is a RHOMBUS if and only if it
has four congruent sides
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RHOMBUS
FOUR CONGRUENT SIDES
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RHOMBUS
Diagonals Bisect A Pair of Opposite Angles
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RHOMBUS
Diagonals are Perpendicular
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Foldable
Fold over the third cut section and write
RHOMBUS on the outside.
1. Opposite angles are congruent. 2. Consecutive
angles are supplementary. 3. Opposite sides are
congruent. 4. Diagonals bisect each other. 5.
Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram. 2. Has 4
right angles 3. Diagonals are congruent.
Reopen the fold.
RHOMBUS
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Foldable
On the left hand section, draw a rhombus.
1. Opposite angles are congruent. 2. Consecutive
angles are supplementary. 3. Opposite sides are
congruent. 4. Diagonals bisect each other. 5.
Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram. 2. Has 4
right angles 3. Diagonals are congruent.
On the right hand side, list all of the
properties of a rhombus.
1. Is A Special type of Parallelogram 2. Has 4
Congruent sides 3. Diagonals are
perpendicular. 4. Diagonals bisect opposite angles
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SQUARE
FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES
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Foldable
Fold over the third cut section and write
SQUARE on the outside.
1. Opposite angles are congruent. 2. Consecutive
angles are supplementary. 3. Opposite sides are
congruent. 4. Diagonals bisect each other. 5.
Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram. 2. Has 4
right angles 3. Diagonals are congruent.
Reopen the fold.
1. Is A Special type of Parallelogram 2. Has 4
Congruent sides 3. Diagonals are
perpendicular. 4. Diagonals bisect opposite angles
SQUARE
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Foldable
On the left hand section, draw a square.
1. Opposite angles are congruent. 2. Consecutive
angles are supplementary. 3. Opposite sides are
congruent. 4. Diagonals bisect each other. 5.
Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram. 2. Has 4
right angles 3. Diagonals are congruent.
On the right hand side, list all of the
properties of a square.
1. Is A Special type of Parallelogram 2. Has 4
Congruent sides 3. Diagonals are
perpendicular. 4. Diagonals bisect opposite angles
Place in your notebook and save for tomorrow.
1. Is a parallelogram, rectangle, and rhombus 2.
4 congruent sides and 4 congruent (right) angles
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PQRS is a rhombus
P
Q
R
S
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PQRS is a rectangle
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Skill Check 3/25!!
8.1 - 8.4
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QUADRILATERALS
1. Polygon
2. 4 sides
1. Opposite Sides are congruent
RHOMBUSES
1. Diagonals bisect angles
RECTANGLES
2. Diagonals perp
Squares
1. 4 rt. angles
3. 4 equal sides
2. Diagonals congruent
2. Opposite Angles are congruent
4. Diagonals Bisect
3. Opposite Sides are parallel
5. Consecutive angles are supplementary
PARALLELOGRAMS
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Class/Homework
p. 325 7-12 p. 330 16-38 even