AnswersFL-1207350-Mathematics for College Liberal ArtsUnit Test

Unit Test — Unit test Answers

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Point P is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of P A is 2 and the length of P B is 3. The Length of A A prime is 4 and the length of B B prime is 5.

Question illustration
A
Yes, it is an enlargement with a scale factor of 3.
B
Yes, it is an enlargement with a scale factor of .
Option B
C
No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
D
No, it is not a dilation because the sides of the image are proportionally reduced from the pre-image.
2
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In ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°. Which is true about the two triangles?

A
ΔXYZ ≅ ΔTUV
B
ΔXYZ ≅ ΔVUT
C
No congruency statement can be made because only two angles in each triangle are known.
D
No congruency statement can be made because the side lengths are unknown.
3

The figure is an isosceles trapezoid.

Question illustration
A
0
B
1
C
2
D
3
4

A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?

A
14°
B
21°
C
35°
D
42°
5

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

Question illustration
A
One-eighth
Option A
B
One-fourth
Option B
C
4
D
8
6

Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Question illustration
A
5 units
B
6 units
C
8 units
D
10 units
7

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

A
0.1
B
Option
Option B
C
1
D
10
8

Triangle TVW is dilated according to the ruleDO,(x,y) to create the image triangle T'V'W', which is not shown.

Question illustration
A
T'(-3, 6) and V'(0, 3)
B
T'(-3, 6) and V'(0, 1)
C
T'(-1, 2) and V'(0, 3)
D
T'(-1, 2) and V'(0, 1)
9

Triangle ABC was dilated using the rule .

Question illustration
A
10 units
B
12 units
C
16 units
D
20 units
10

A hexagon has different side lengths and angle measures. The top and bottom sides are equal, and the left and right sides are equal. The top 2 angles and bottom 2 angles are equal, and the left and right angles are equal.

Question illustration
A
60°
B
90°
C
120°
D
180°
11

On a coordinate plane, Rectangles A B C D and E F G H are shown. The length of side A B is 6 units and the length of side B C is 3 units. The length of side E F is 8 units and the length of side F G is 4 units.

Question illustration
A
Yes, because corresponding sides are parallel and have lengths in the ratio
Option A
B
Yes, because both figures are rectangles and all rectangles are similar.
C
No, because the center of dilation is not at (0, 0).
D
No, because corresponding sides have different slopes.
12

Three quadrilaterals exist such that GHJK ≅ ASDF and GHJK ≅ VBNM.If MV measures 3 cm, which other segment must measure 3 cm?

A
AF
B
KJ
C
FD
D
GJ
13

Triangle RST was dilated by a scale factor of . The image, triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units.

Question illustration
A
4 units
B
8 units
C
16 units
D
20 units
14

Quadrilateral JKLM was dilated according to the ruleDO,(x,y) to create the image quadrilateral J'K'L'M', which is shown on the graph.

Question illustration
A
(0, -4)
B
(0, -1)
C
(0, 0)
D
(0, 4)
15

Which statements are true about the reflectional symmetry of a regular heptagon? Select two options.

A
It has only 1 line of reflectional symmetry.
B
A line of symmetry will connect 2 vertices.
C
A line of symmetry will connect a vertex and a midpoint of an opposite side.
D
It has 7-fold symmetry.
E
A line of symmetry will connect the midpoints of 2 opposite sides.
16

Quadrilateral L M N O is reflected over a line to form quadrilateral C D A B.

Question illustration
A
AB
B
AD
C
CB
D
DC
17

Question text not available

Question illustration
A
(–2,1)
B
(–3,2)
C
(1,0)
D
(1,2)
18

HTTP 503

Question illustration
A
one
B
five
C
six
D
infinitely many
Option D
19

If an object maps onto itself after being rotated 180 degrees or less about a line, it has

A
rotational symmetry.
B
no plane of symmetry.
C
reflectional symmetry.
D
no axis of symmetry.
20

Point Q is the center of dilation. Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime. The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches.

Question illustration
A
3 × 8
B
6 × 8
C
12 × 16
D
18 × 24

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