Unit Test — Unit test Answers

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6

Right triangle LMN has vertices L(7, –3), M(7, –8), andN(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

A
(x, y) → (x + 6, y – 5)
B
(x, y) → (x – 6, y + 5)
C
(x, y) → (x + 8, y – 11)
D
(x, y) → (x – 8, y + 11)
7

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit.

A
Yes, the side lengths in the two figures are proportional.
B
Yes, one figure maps to the other.
C
No, the side lengths are not preserved.
D
No, the angles are not preserved.
9

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.
10

Triangle ABC is rotated to create the image A'B'C'.

Question illustration
A
(x, y) → (x, –y)
B
(x, y) → (y, x)
C
(x, y) → (–x, –y)
D
(x, y) → (–y, –x)
11

2 triangles have identical side lengths and angle measures. The second triangle is rotated slightly to the left.

Question illustration
A
It is rigid because all side lengths and angles are congruent.
B
It is rigid because no side lengths or angles are congruent.
C
It is nonrigid because all side lengths are congruent.
D
It is nonrigid because no side lengths or angles are congruent.
12

The function rule T–4, 6(x, y) could be used to describe which translation?

A
a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
B
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
C
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
D
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
14

A transformation of ΔKLM results in ΔK'L'M'.

Question illustration
A
dilation
B
translation
C
reflection
D
rotation
18

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?

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

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