AnswersFirst Semester Geometry 0.5 NewUnit Test

Unit Test — Unit test Answers

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1
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Which statements are correct? Select three options.

A
△BCD is similar to △BSR.
B
StartFraction B R Over R D EndFraction = StartFraction B S Over S C EndFraction
Option B
C
If the ratio of BR to BD is , then it is possible that BS = 6 and BC = 3.
Option C
D
(BR)(SC) = (RD)(BS)
E
StartFraction B R Over R S EndFraction = StartFraction B S Over S C EndFraction
Option E
2
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Which statements are true? Select two options.

A
∠R corresponds to ∠P'QQ'.
B
∠PQR corresponds to ∠QPQ'.
C
Segment QQ' is parallel to segment PP'.
D
Side RQ corresponds to side QQ'.
E
△PQR ≅ △P'Q'Q
3

Line segment JL is an altitude in triangle JKM.

Question illustration
J
JKM is a right triangle because KL + LM = 15.3.
J
JKM is a right triangle because KL + LM = 18.2.
J
JKM is not a right triangle because KL + LM ≠ 15.3.
J
JKM is not a right triangle because KL + LM ≠ 18.2.
4

Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters.

Question illustration
A
58 cm
B
75 cm
C
88 cm
D
116 cm
5

Triangle A B C is cut by line segment F G. Line segment F G goes from side A B to side A C. The length of B F is x + 6, the length of F A is x + 1, the length of C G is x + 3, and the length of G A is x minus 1.

Question illustration
A
1
B
3
C
6
D
9
6

Points Q and R are midpoints of the sides of triangle ABC.

Question illustration
A
10 units
B
14 units
C
20 units
D
32 units
7

Triangle MRN is created when an equilateral triangle is folded in half.

Question illustration
A
units
Option A
B
4 units
C
units
Option C
D
8 units
8

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Question illustration
A
(-2,-4)
B
(-2,-6)
C
(Negative nine-halves, negative 4)
Option C
D
(Negative nine-halves, negative 9)
Option D
9

Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C.

Question illustration
A
a reflection and a dilation
B
a rotation and a dilation
C
a translation and a dilation
D
a reflection and a translation
10

In the diagram, .

Question illustration
A
WV and XY
B
WV and ZY
C
∠VZW ≅ ∠YZX
D
∠VWZ ≅ ∠YXZ
11

On a coordinate plane, a line is drawn from point K to point J. Point K is at (9, 2) and point J is at (1, negative 10).

Question illustration
A
–1
B
3
C
7
D
11
12

Triangle ABC will be dilated according to the rule(x,y), where point F is the center of dilation.

Question illustration
A
(-8,-4)
B
(-2,-1)
C
(0, 0)
D
(1, 0)
13

Which graph shows a dilation?

A
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 1), and (0, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).
Option A
B
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 2), and (1, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).
Option B
C
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 1), and (2, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).
Option C
D
On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 2), and (3, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).
Option D
14

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?

Question illustration
A
–1
B
0
C
2
D
3

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