Special Parallelograms — Unit test Answers

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[Figure may not be drawn to scale]

Question illustration
A
25 units
B
50 units
C
100 units
D
150 units
2
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The diagonals of a parallelogram are congruent. Which could be the parallelogram?

A
trapezoid
B
rectangle
C
kite
D
rhombus
3

The angle measures of quadrilateral RSTU are shown.m∠R = (2x)°m∠S = (3x – 35)°m∠T = (x + 35)°

A
Yes, opposite angles R and T are congruent to each other if x = 35.
B
Yes, consecutive angles R and S are congruent to each other if x = 35.
C
No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°.
D
No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.
4

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

Question illustration
A
1 hour
B
6 hours
C
13 hours
D
15 hours
5

Triangle J K L is shown. Lines are drawn from each point to the opposite side and intersect at point P. Line segments J O, K M, and L N are created.

Question illustration
A
LN ⊥ JK, JO ⊥ LK, and JL ⊥ MK.
B
JL = LK = KJ
C
JM = ML, LO = OK, and KN = NJ.
D
LN is a perpendicular bisector of JK, JO is a perpendicular bisector of LK, and MK is a perpendicular bisector of JL.
6

[Figure may not be drawn to scale]

Question illustration
A
12 mm
B
24 mm
C
36 mm
D
48 mm
7

A student showed the steps below while solving the equation by graphing.Step 1:Write a system of equations: Step 2: Use the change of base formula to rewrite the equations:Step 3:Graph the two equations:Step 4:Identify the x-value at the point of intersection:In which step did the student make the first error?

Question illustration
A
step 1
B
step 2
C
step 3
D
step 4
8

In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in.

Question illustration
A
6 in.
B
7 in.
C
8 in.
D
9 in.
9

Which function is shown in the graph below?

Question illustration
A
y = 2 Superscript x minus 2 Baseline + 3
Option A
B
y = 2 Superscript x + 2 Baseline + 3
Option B
C
y = 2 Superscript x minus 3 Baseline + 2
Option C
D
y = 2 Superscript x + 3 Baseline + 2
Option D
10

What is the solution to

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section.

Question illustration
A
21.2 m
B
27.5 m
C
32.5 m
D
38.2 m
12

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.What are the two different angle measures of the parallelogram-shaped tile?

A
20° and 160°
B
50° and 130°
C
30° and 150°
D
70° and 110°
13

If , what is the value of x?

Question illustration
A
Five-eighths
Option A
B
Eight-fifths
Option B
C
2
D
8
14

Jerome solved the equation below by graphing.Which of the following shows the correct system of equations and solution?

Question illustration
A
; x = 3
Option A
B
; x = 4
Option B
C
; x = 33
Option C
D
; x = 44
Option D
15

Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

Question illustration
A
Point G cannot be the centroid because 18:6 does not equal 2:1.
B
Point G cannot be the centroid because FG should be longer than CG.
C
Point G can be the centroid because 12:6 equals 2:1.
D
Point G can be the centroid because FC is longer than FG.

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