The length of AD = 14. What is the length of BC?
14
The length of AC = 9. What is the length of BD?
9
The length of DA = 22. What is the length of DC?
22
The length of BD = 3. What is the length of AC?
3
What is true about bases DC and AB?
They are parallel.
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
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
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
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
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
The given shape is a parallelogram. Solve for p and name the property used to solve.
p = 8, opposite sides are congruent
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
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
The measure of angle CDA = 3x+45. Find x and state the property used to solve.
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
Solve for x and state the property used.
x = 24, consecutive angles are supplementary
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
The measure of angle BEC = 13x+64. Solve for x and state the property used to solve.
x = 2, diagonals are perpendicular
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
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
Given m<ADC = 5x-9 and m<ABC = 3x+11, find the measure of angle A.
A = 139
The measure of angle DCA = 6x-3. Solve for x and state the properties used to solve.
x = 8, diagonals bisect angles
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
The measure of angle ARD = 68 degrees. Find x if the measure of angle BAR is 5x-6.
x = 8
The length of a = 8, the length of b = 20, and the length of XY = -3x-7. Find x.
x = -7