Topic Test Answers

11 verified answers
3

Analyze the diagram below and answer the question that follows. The diagonals of parallelogram ABCD intersect at point E. To prove that , all of the following could be used, except for which?

Question illustration
A
The sum of the measures of the interior angles of ABCD is 360°.
B
by SSS.
C
by SSS.
D
Given two parallel lines cut by a transversal, alternate interior angles are congruent.
8

Analyze the diagram below and complete the instructions that follow. Quadrilateral LMNO has diagonals that intersect at point P. If LP = 6x – 5, MP = y + 25, NP = 4x + 17, and OP = 5y + 29, find the values of x and y such that LMNO is a parallelogram.

Question illustration
A
x = 11, y = 1
B
x = 10, y = –1
C
x = 11, y = –1
D
x = –1, y = 11
9

Analyze the diagram below and complete the statement that follows. ABCD is a parallelogram. If increases, then __________.

Question illustration
A
remains the same
B
doubles
C
increases
D
decreases
10

Analyze the diagram below and complete the instructions that follow. Given that EFGH is a kite, if , find HG.

Question illustration
A
6
B
18
C
24
D
not enough information
11

Analyze the diagram below and complete the instructions that follow. Find the length of for which ABCD is a parallelogram.

Question illustration
A
4
B
6
C
7
D
8
12

Quadrilateral ABCD has side lengths of AB = 2z + 2, BC = 8, CD = 5z – 10, and AD = 8. Find the value of z for which quadrilateral ABCD is a parallelogram.

A
1
B
2
C
3
D
4
13

Analyze the diagram below and complete the sentence that follows. A square is a type of __________.

Question illustration
A
rhombus
B
trapezoid
C
kite
D
pentagon
14

Analyze the diagram below and complete the instructions that follow. Find the value of x.

Question illustration
A
279
B
81
C
9
D
–9, 9
17

Analyze the diagram below and complete the instructions that follow. The diagonals of parallelogram LMNO, and , intersect at point P. If , , and , solve for x. A. B. C. 4 D. 7 Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
18

Analyze the diagram below and complete the instructions that follow. If HE = 3p + 7, , LP = 5p – 19, and , find the values of p and q for which quadrilateral HELP is a parallelogram.

Question illustration
A
p = 18, q = 13
B
p = 13, q = 8
C
p = 8, q = 18
D
p = 13, q = 18
19

Analyze the diagram below and complete the instructions that follow. Given that ABCD is a parallelogram, solve for m.

Question illustration
A
7
B
8
C
11
D
15
20

Which of the following conditions in a quadrilateral proves it is a parallelogram?

A
One pair of opposite sides are congruent.
B
One angle is supplementary to both consecutive angles.
C
One pair of opposite angles are congruent.
D
The diagonals are congruent.

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