Topics
9. Polygons
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United States of AmericaVA
Geometry

9.03 Special parallelograms

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

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

A rectangle has its vertices labeled $A$A, $B$B, $C$C and $D$D in clockwise order starting from the top left. The diagonals $AC$AC and $BD$BD intersect at the center of the rectangle.

a

Find $BD$BD.

b

Find $m\angle BCD$m∠BCD.

Easy
< 1 min

Consider the rhombus $CDEF$CDEF below.

Easy
< 1 min

Consider the rhombus $PQRS$PQRS below.

Easy
< 1 min

Consider the square $EFGH$EFGH below. Suppose that $JG=19$JG=19 cm.

Medium
< 1 min
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Outcomes

G.PC.1

The student will prove and justify theorems and properties of quadrilaterals, and verify and use properties of quadrilaterals to solve problems, including the relationships between the sides, angles, and diagonals.

G.PC.1a

Solve problems, using the properties specific to parallelograms, rectangles, rhombi, squares, isosceles trapezoids, and trapezoids.

G.PC.1b

Prove and justify that quadrilaterals have specific properties, using coordinate and algebraic methods, such as the slope formula, the distance formula, and the midpoint formula.

G.PC.1c

Prove and justify theorems and properties of quadrilaterals using deductive reasoning.

G.PC.1d

Use congruent segment, congruent angle, angle bisector, perpendicular line, and/or parallel line constructions to verify properties of quadrilaterals.

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