Parallelograms
Squares
Rhombi
Rectangles
Trapezoids
100

The length of AD = 14.  What is the length of BC?


14

100

The length of AC = 9.  What is the length of BD?


9

100

The length of DA = 22.  What is the length of DC?


22

100

The length of BD = 3.  What is the length of AC?


3

100

What is true about bases DC and AB?

They are parallel.

200

Name two properties of parallelograms.

Opposite sides are parallel / Opposite sides are congruent / Diagonals bisect each other / Opposite angles are congruent / Consecutive angles are supplementary

200

Name two properties of squares.

Opposite sides are parallel / All sides are congruent / Diagonals bisect each other / Diagonals are congruent / All angles are 90 degrees / Diagonals are perpendicular / Diagonals bisect opposite angles

200

Name two properties of rhombi.

Opposite sides are parallel / All sides are congruent / Diagonals bisect each other / Opposite angles are congruent / Consecutive angles are supplementary / Diagonals are perpendicular / Diagonals bisect opposite angles

200

Name two properties of rectangles.

Opposite sides are parallel / Opposite sides are congruent / Diagonals bisect each other / Diagonals are congruent / All angles are 90 degrees

200

Name two properties of isosceles trapezoids.

One pair of parallel sides / Nonparallel sides are congruent / Lower base angles are congruent / Upper base angles are congruent / Same side interior angles are supplementary / Opposite angles are supplementary

300

The given shape is a parallelogram.  Solve for p and name the property used to solve.


p = 8, opposite sides are congruent

300

ABCD is a square.  The measure of angle O is 7x+20.  Solve for x and name the property used to solve.

x = 10, diagonals are perpendicular

300

In the rhombus below, the length of DC = 2x+13 and CB = 5x+4.  Solve for x and state the property used to solve.


x = 3, all sides are congruent

300

The measure of angle CDA = 3x+45.  Find x and state the property used to solve.

x = 15, all angles are 90 degrees
300

The measure of angle DCB = 5x-2 and the measure of angle CBA = x+8.  Find x and state the property used to solve.

x = 29, consecutive angles are supplementary

400

Solve for x and state the property used.

x = 24, consecutive angles are supplementary

400

The perimeter of square ABCD is 36 cm.  The length of side AB is 3x+21.  Solve for x and state the property used to solve.

x = -4, all sides are congruent

400

The measure of angle BEC = 13x+64.  Solve for x and state the property used to solve.

x = 2, diagonals are perpendicular

400

The length of DR = 10+2x and the length of BR = 4.  Find x, the length of AC and state the properties used to solve.

x = -3, AC = 8, diagonals bisect each other, diagonals are congruent

400

The length of AB = 27-3x and the length of DC = x-1.  Solve for x and state the property used to solve.


x = 7, opposite sides are congruent

500

Given m<ADC = 5x-9 and m<ABC = 3x+11, find the measure of angle A.


A = 139

500

The measure of angle DCA = 6x-3.  Solve for x and state the properties used to solve.


x = 8, diagonals bisect angles

500

The measure of angle DAC = 6x+1 and the measure of angle BCA = 2x+17.  Find the measures of angles DAC and BCA, and state the property used to solve.

x = 4, alternate interior angles are congruent

500

The measure of angle ARD = 68 degrees.  Find x if the measure of angle BAR is 5x-6.

x = 8

500

The length of a = 8, the length of b = 20, and the length of XY = -3x-7.  Find x.


x = -7

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