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11.03 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

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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