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9.03 Properties of rectangles, rhombuses, and squares

Interactive practice questions

Consider the rectangle $ABCD$ABCD below. Suppose that $AC=16$AC=16 m.

Rectangle $ABCD$ABCD. Diagonals $AC$AC and $BD$BD are drawn. $\angle BCD$BCD is an interior angle of rectangle $ABCD$ABCD.
a

Find $BD$BD.

b

Find $m\angle BCD$mBCD.

Easy
< 1min

Consider the rhombus $CDEF$CDEF below.

Easy
< 1min

Consider the rhombus $PQRS$PQRS below.

Easy
< 1min

Consider the rhombus $ABCD$ABCD below.

Easy
2min
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Outcomes

G.CO.11

Prove and apply theorems about parallelograms. Theorems include but are not restricted to the following: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

G.SRT.5

Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures that can be decomposed into triangles.

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