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11.05 Classifying quadrilaterals

Interactive practice questions

For each of the shapes below, choose the most precise classification.

a

Trapezoid

A

Rectangle

B

Square

C

Trapezoid

A

Rectangle

B

Square

C
b

Square

A

Trapezoid

B

Rectangle

C

Square

A

Trapezoid

B

Rectangle

C
c

Trapezoid

A

Rectangle

B

Square

C

Trapezoid

A

Rectangle

B

Square

C
d

Trapezoid

A

Rectangle

B

Square

C

Trapezoid

A

Rectangle

B

Square

C
e

Trapezoid

A

Square

B

Rectangle

C

Trapezoid

A

Square

B

Rectangle

C
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Based on the length of each side, classify the following as a parallelogram, trapezoid or rhombus. Give the most precise classification possible.

Which of the following is true?

Patricia draws a quadrilateral, and covers it up. She tells Glen that the quadrilateral consists of right angles only. From this information, Glen knows that the quadrilateral is definitely a:

Outcomes

II.G.CO.11

Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

II.G.SRT.5

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

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