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Unit Test — Unit test Answers

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Which statement describes the order of rotational symmetry for an isosceles triangle?

A
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
B
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
C
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
D
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
2
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Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.

A
The rule for the translation can be written as T–3, 1(x, y).
B
The rule for the translation can be written as T–1, 3(x, y).
C
The rule for the translation can be written as(x, y) → (x + 1, y – 3).
D
The rule for the translation can be written as(x, y) → (x – 3, y + 1).
E
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.
3

A composition of transformations maps ΔKLM to ΔK"L"M".

Question illustration
A
a 90° rotation about point L
B
a 270° rotation about point L
C
a 90° rotation about point P
D
a 270° rotation about point P
4

Figure R S T U V is reflected across a point of reflection n to form R prime S prime T prime U prime V prime. Figure R prime S prime T prime U prime V prime is rotated 270 degrees about point P to form R double-prime S double-prime T double-prime U double-prime V double-prime

Question illustration
A
a reflection across line n followed by a translation down and to the right
B
a reflection across line n followed by a 270° rotation about point P
C
a translation down followed by a 270° rotation about point P
D
a translation down followed by a reflection across line n
5

Which rules could describe the rotation? Select two options.

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
(x, y) → (–y, x)
E
(x, y) → (y, –x)
6

Which diagram has all the correct lines of reflectional symmetry for the rectangle?

A
A rectangle is folded diagonally on both corners.
Option A
B
A rectangle is folded by a vertical and horizontal line going through its center.
Option B
C
A rectangle is folded 4 ways. It is folded horizontally, vertically, and diagonally on both corners.
Option C
D
A rectangle is folded 4 ways. It is folded diagonally at each midpoint of every side.
Option D
7

On a coordinate plane, 5 trapezoids are shown. Trapezoid L M N P is in quadrant 2 and has points (negative 2, 3), (negative 2, 6), (negative 1, 6), and (negative 1, 4). Trapezoid B is reflected in quadrant 2. Trapezoid C is reflected across the y-axis. Trapezoid D is reflected into quadrant 4. Trapezoid A is reflected across the x-axis.

Question illustration
A
figure A
B
figure B
C
figure C
D
figure D
8

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, negative 5), (1, negative 2), (1, negative 5). Triangle A prime B prime C prime has points (5, 5), (1, 2), (1, 5). Triangle A double-prime B double-prime C double prime has points (negative 1, 3), (negative 5, 0), (negative 5, 3).

Question illustration
A
Translation of negative 6 units x, negative 2 units y composition reflection across the x-axis
Option A
B
Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y
Option B
C
Translation of negative 6 units x, negative 2 units y composition 90 degree rotation about point 0
Option C
D
90 degree rotation about point 0 translation of negative 6 units x, negative 2 units y
Option D
9

A point has the coordinates (m, 0) and m ≠ 0.Which reflection of the point will produce an image located at (0, –m)?

A
a reflection of the point across the x-axis
B
a reflection of the point across the y-axis
C
a reflection of the point across the line y = x
D
a reflection of the point across the line y = –x
10

A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?

A
T1, –9(x, y)
B
T–1, –9(x, y)
C
T–9, 1(x, y)
D
T–9, –1(x, y)
11

On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).

Question illustration
A
rx-axis(x, y) → (–x, y)
B
ry-axis(x, y) → (–x, y)
C
rx-axis(x, y) → (x, –y)
D
ry-axis(x, y) → (x, –y)
12

Triangle QRS is transformed as shown on the graph.

Question illustration
R
R0, 90°
R
R0, 180°
R
R0, 270°
R
R0, 360°
13

A regular decagon has 10 sides.

Question illustration
A
5
B
10
C
15
D
20
14

Which points are vertices of the pre-image, rectangle ABCD? Select four options.

A
(–1, –2)
B
(7, 1)
C
(–1, 7)
D
(–1, 1)
E
(7, –2)
15

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

A
T4, –4(x, y)
B
T–4, –4(x, y)
C
T2, –4(x, y)
D
T–2, –4(x, y)

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