Unit Test — Unit test Answers

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A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

A
(x, y) → (x + 5, y – 3)
B
(x, y) → (x + 5, y + 3)
C
(x, y) → (x – 3, y + 5)
D
(x, y) → (x + 3, y + 5)
24

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) → (–x, –y)
25

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?

A
The figure must be an isosceles trapezoid because it has 2 congruent base angles.
B
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
C
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
D
The figure could be a square because the diagonals of a square bisect the right angles.
26

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
27

A point has the coordinates (0, k).Which reflection of the point will produce an image at the same coordinates, (0, k)?

a
a reflection of the point across the x-axis
a
a reflection of the point across the y-axis
a
a reflection of the point across the line y = x
a
a reflection of the point across the line y = –x
30

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)
39

Which statements must be true about the image of ΔMNP after a reflection across ? Select three options.

Question illustration
A
The image will be congruent to ΔMNP.
B
The orientation of the image will be the same as the orientation of ΔMNP.
C
will be perpendicular to the line segments connecting the corresponding vertices.
Option C
D
The line segments connecting the corresponding vertices will all be congruent to each other.
E
The line segments connecting corresponding vertices will all be parallel to each other.

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