Cumulative Exam — Cumulative exam Answers

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In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15.

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A
42 units
B
50 units
C
65 units
D
73 units
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A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.

Question illustration
A
50
B
55
C
125
D
145
47

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 42 and the length of X Z is 21.

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartRoot 3 EndRoot
Option C
D
StartFraction 2 Over 1 EndFraction
Option D
48

Which statements must be true about the two congruent, shaded figures? Select two options.

A
The figures are rectangles because they are formed inside a rectangle.
B
The figures are rhombi because they are formed by four congruent line segments.
C
The figures are trapezoids because each has exactly one pair of parallel sides.
D
The figures are parallelograms because their opposite sides are parallel.
E
The figures are quadrilaterals because each has four sides.
49

What is true about △ABC? Select three options

A
AB ⊥ AC
B
The triangle is a right triangle.
C
The triangle is an isosceles triangle.
D
The triangle is an equilateral triangle.
E
BC ∥ AC
50

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

Question illustration
A
3 inches
B
4 inches
C
5 inches
D
6 inches

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