Compositions — Unit test Answers

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Which figure has an order 3 rotational symmetry?

A
right triangle
B
equilateral triangle
C
regular hexagon
D
right trapezoid
22
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Triangle ABC was translated according to the rule (x, y) → (x + 1.5, y – 3.5) to create the image ΔA'B'C' shown on the coordinate plane.Which graph shows the pre-image, ΔABC?

Question illustration
A
On a coordinate plane, a triangle has points A (0.5, negative 1.5), B (0.5, negative 4.5), C (negative 3.5, negative 4.5).
Option A
B
On a coordinate plane, a triangle has points A (2.5, 0.5), B (2.5, 2.5), C (negative 1.5, negative 2.5).
Option B
C
On a coordinate plane, a triangle has points A (negative 4.5, 3.5), B (negative 4.5, 0.5), C (negative 8.5, 0.5).
Option C
D
On a coordinate plane, a triangle has points A (negative 2.5, 5.5), B (negative 2.5, 2.5), C (negative 6.5, 2.5).
Option D
23

Question text not available

Question illustration
A
a translation down and to the right
B
a translation up and to the right
C
a 270° rotation about point B'
D
a 180° rotation about point B'
24

A composition of transformations maps ΔXYZ to ΔX"Y"Z".

Question illustration
A
a 180° rotation about point X
B
a 270° rotation about point X
C
a translation to the right
D
a reflection across line m
25

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.

A
The rule for the translation can be written as T–5, 3(x, y).
B
The rule for the translation can be written as T3, –5(x, y).
C
The rule for the translation can be written as(x, y) → (x + 3, y – 3).
D
The rule for the translation can be written as(x, y) → (x – 3, y – 3).
E
Triangle ABC has been translated 3 units to the right and 5 units down.

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