Student Name:
Date:
Math Grade 8
Geometry (G)
Student Quizlet
Congruence and Similarity Part 1
August 2015
DIRECTIONS: Read the problems below. Put your answers in the spaces provided.
1. The coordinate plane below shows 4 lines. Which of these lines is a reflection of
line a across the x-axis?
A.
Line b
B.
Line c
C.
Line d
D.
None of the lines
2. The coordinate plane below shows line a. Draw a line rotated 90° about point (3, 0).
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3. The coordinate plane shows 5 line segments. Which of these segments could be
the image of segment AB (first quadrant) after a sequence of rotations, reflections,
and/or translations?
Select all that apply
4.
A.
Line segment CD
B.
Line segment EF
C.
Line segment GH
D.
Line segment JK
The coordinate plane below shows line segment LM. Draw a line segment
reflected across the y-axis.
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5. The coordinate plane below shows angle ∠NOP. Angle ∠N’O’P’ (not shown) is the
image of angle ∠NOP after it has been rotated 180° about point (4, 2).
If the measure of angle ∠NOP is x, what is the measure of angle N’O’P’ ?
A.
x
B.
x – 180°
C.
x + 180°
D.
x – 90°
6. The coordinate plane shows angle ∠RST. Angle ∠R’S’T’ is created after angle
∠RST has been reflected across the x-axis.
Draw angle ∠R’S’T’ on the coordinate plane below.
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7. Lines a and b are parallel lines on a coordinate plane. Lines a and b are
transformed by the same reflection, resulting in lines c and d. Which statement
describes the relationship between lines c and d?
8.
A.
Lines c and d are perpendicular.
B.
Lines c and d intersect but are not perpendicular.
C.
Lines c and d are parallel.
D.
The relationship between lines c and d cannot be determined without
knowing the angle of reflection.
Rectangle KLMN is shown on the coordinate plane below.
Rectangle K’L’M’N’ (not shown) is the image of rectangle KLMN after a 90°
clockwise rotation about the origin.
List the parallel sides (if any) in rectangle K’L’M’N’.
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9. Triangle RST is shown on the coordinate plane below. Draw a triangle congruent to
Triangle RST after the following sequence of transformations:
Transformation 1 – reflection across the line y = 2
Transformation 2 – translation 4 units to the right
Label the new triangle R’S’T’
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10. Two congruent figures are shown in the coordinate plane below.
Which statement describes a possible sequence of transformations that transforms
figure A into figure B?
A.
A rotation 180° clockwise about the origin, followe d by a translation 5 units
to the left.
B.
A rotation 180° clockwise about the origin, followe d by a translation 5 units
to the right.
C.
A reflection across the x-axis, followed by a translation 5 units to the left.
D.
A reflection across the x-axis, followed by a translation 5 units to the right.
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11. Two congruent figures are shown in the coordinate plane below.
Write a statement describing a possible sequence of transformations that
transforms figure A into figure B?
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12. Triangle RST is shown on the coordinate plane below.
Part A
List at least 2 different transformations (rotations, reflections or translations).
Transformation 1: ____________________________
Transformation 2: ____________________________
Other transformations: ____________________________
Part B
Draw the transformed triangle after following your sequence of transformations on
the coordinate plane above. Label the new triangle R’S’T’.
Part C
Is your new triangle congruent to the original? Why?
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