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Transcript
Page 1 of 3
Name
Date
Classifying Quadrilaterals
Module #1:
Worksheet 4a:
View Tutorial 4a
³Objective: Recognize the characteristics of specific quadrilaterals.
Parallel Lines:
two or more lines on the same plane m || n
(coplanar) that do not intersect.
m
n
n
Perpendicular Lines:
lines that intersect to form right angles.
m⊥n
m
Polygon: a multi-sided geometric figure, made up of a union of segments that meet only at
endpoints such that:
1) at most two segments meet at one point.
2) each segment meets exactly two other segments.
Quadrilateral
A four-sided polygon
Parallelogram
Opposite sides parallel
Opposite sides are congruent
Opposite angles congruent
Diagonals bisect each other
Rhombus
Parallelogram
4 congruent sides
Rectangle
Parallelogram
4 right angles
Trapezoids
Exactly one
pair of opposite
sides parallel
Diagonals are perpendicular
Diagonals bisect each pair of
opposite angles
Diagonals are congruent
Square
Parallelogram
4 right angles
4 congruent sides
Copyright 2000. All rights reserved.
61
Page 2 of 3
Module #1:
Worksheet 4a:
Name
Date
Classifying Quadrilaterals
Choose the polygon, which corresponds to the provided characteristics:
(Hint: Use elimination to cross out answers that do not apply. Look at the definitions of
the word from the previous page to help eliminate. Be sure to pick the answer that
BEST describes the figure)
1. Select the one that does NOT describe this figure correctly.
quadrilateral
polygon
rhombus
parallelogram
10 cm
6 cm
6 cm
10 cm
2. Select the one that does NOT describe this figure correctly.
quadrilateral
parallelogram
trapezoid
polygon
3. Select the geometric figure that possesses all of the following characteristics:
a. Quadrilateral
b. Diagonals are equal in length
c. Opposite sides are parallel
parallelogram
trapezoid
rectangle
rhombus
4. Select the one that does NOT describe this figure correctly.
parallelogram
quadrilateral
rhombus
trapezoid
Copyright 2000. All rights reserved.
4 cm
4 cm
4 cm
4 cm
62
Page 3 of 3
Module #1:
Worksheet 4a:
Name
Date
Classifying Quadrilaterals
5. Select the one that does NOT describe this figure correctly.
parallelogram
quadrilateral
polygon
trapezoid
6. Select the TRUE statement below. (Use the flowchart on the previous page to
help you select the true statement)
Every rhombus is a square.
Every rectangle is a rhombus
Every rhombus is a parallelogram.
Every parallelogram is a rectangle.
7. Select the TRUE statement below.
Every rhombus is a rectangle.
Every rectangle is a square.
Every parallelogram is a rectangle.
Every rectangle is a parallelogram.
8. Select the TRUE statement below.
Every rhombus is a square.
Every rectangle is a square.
Copyright 2000. All rights reserved.
Every parallelogram is a rhombus.
Every square is a rhombus.
63