Similar Quadrilaterals

Which proportion could be used to solve for x?

• A

• B

• C

• D

Which proportion is true?

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they have the same shape and the same angles

• No, the ratio of corresponding sides are not equal 

• Yes, same shape

• No, different sizes

Michael drew a quadrilateral with the following characteristics.

- All sides are congruent
- All the angles measure 90^o
- Opposite sides are parallel
- The diagonals are congruent
- The diagonals bisect at 90^o

Which describes the quadrilateral that Michael drew?

• Parallelogram

• Rectangle

• Rhombus

• Square

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Are the quadrilaterals similar?

• Yes

• No

A pair of quadrilaterals are similar. Which statements about the quadrilaterals must be true? Select TWO correct answers.

• The corresponding sides of the quadrilaterals must be congruent.

• The opposite sides of the quadrilaterals must be congruent.

• The corresponding angles of the quadrilaterals must be congruent.

• The corresponding angles of the quadrilaterals must each be right angles.

• The corresponding side lengths of the quadrilaterals must be proportional.

• 112⁰

• 74⁰

• 72⁰

• 102⁰

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65 degrees

85 degrees

100 degrees

115 degrees

• 65 degrees

• 85 degrees

• 100 degrees

• 115 degrees