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Translations — Unit test Answers

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An equilateral triangle with all equal side lengths and angle measures.

Question illustration
A
1
B
2
C
3
D
4
2
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Which set of side lengths represents a triangle with 3 lines of reflectional symmetry?

A
3, 4, 5
B
3, 6, 9
C
5, 5, 5
D
5, 10, 5
3

Which figure has an order 3 rotational symmetry?

A
right triangle
B
equilateral triangle
C
regular hexagon
D
right trapezoid
4

Which type of triangle will always have at least 1-fold reflectional symmetry?

A
right triangle
B
obtuse triangle
C
acute triangle
D
isosceles triangle
5

Which triangle has 0 reflectional symmetries?

A
A triangle has all different side lengths and angle measures.
Option A
B
A triangle has all equal side lengths and angle measures.
Option B
C
A triangle has 2 equal side lengths and 2 equal angle measures.
Option C
D
A triangle has 2 equal side lengths and 2 equal angle measures.
Option D
6

Which letter in the word HAPPY has an order 2 rotational symmetry?

A
H
B
A
C
P
D
Y
7

Which figure shows a line of reflectional symmetry for the letter T?

A
A letter T is folded at the horizontal line.
Option A
B
A letter T is folded diagonally.
Option B
C
A letter T is folded vertically through the middle.
Option C
D
A letter T is folded diagonally through its center.
Option D
8

Which statements are true about the lines of symmetry of a regular pentagon? Select three options.

A
Every line connects two vertices.
B
Every line connects the midpoints of 2 sides.
C
Every line bisects a vertex angle.
D
Every line bisects a side.
E
Every line is perpendicular to a side.
9

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

A
10
B
12
C
20
D
24
10

A rhombus has 4 equal sides.

Question illustration
A
1
B
2
C
3
D
4
11

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)
12

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)
13

Triangle QRS is transformed as shown on the graph.

Question illustration
A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
14

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.
15

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.
16

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
17

A transformation of ΔDEF results in ΔD'E'F'.

Question illustration
A
The transformation is a dilation.
B
The transformation is a reflection.
C
The transformation is a rotation.
D
The transformation is a translation.
18

On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2).

Question illustration
A
(–4, 3)
B
(4, –3)
C
(–3, –4)
D
(3, 4)
19

A regular decagon has 10 sides.

Question illustration
A
5
B
10
C
15
D
20
20

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

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