Name:
Unit 2 MASTERY QUIZ – Geometry: Transformations and Angles
1. Name the transformation shown below.
Answer: _____________________________
2. Triangle ABC undergoes a translation, resulting in Triangle A’B’C. The chart below
shows the coordinates for the vertices of each triangle.
Which of the following describes the translation depicted above?
A.
B.
C.
D.
2 units to the right, 3 units down
3 units to the right, 2 units down
2 units to the left, 3 units up
3 units to the left, 2 units down
3. Draw the translation of the quadrilateral MNOP three units to the left and two units up.
Label your new figure with the appropriate vertices.
4. Draw the dilation of triangle JKL with a scale factor of 0.5 and label each vertex.
5. Name the coordinates of each vertex: J’
K’
L’
6. Draw the dilation of quadrilateral ABCD with a scale factor of 2 and label each
vertex.
7-8. Refer to the diagram in the previous problem. Are quadrilaterals ABCD and A’B’C’D’
similar or congruent? Explain.
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9. Draw the reflection of quadrilateral ABCD over the x-axis.
̅̅̅̅?
10. Which side corresponds to 𝑨𝑩
11. Which angle corresponds to ∠A?
12. Draw the reflection of triangle XYZ over the diagonal line y = x.
13-14. Explain how you determined the coordinate point of Y’:
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15. Rodney reflects triangle XYZ over the y-axis. The coordinate pair for Z is (2, 5). What
are the coordinates for Z’?
a. (2, -5)
b. (-2, 5)
c. (2, 5)
d. (-2, -5)
16. Write an algebraic rule for reflecting a figure over the x-axis:
(x, y) 
17. Stephanie transformed triangle ABC and her result is A’B’C’. Which best describes
her transformation?
a.
b.
c.
d.
Rotation 90 degrees clockwise
Rotation 90 degrees counterclockwise
Rotation 180 degrees clockwise
None of the above
18. Trevor rotates triangle XYZ 90 degrees counterclockwise around the origin. What are
the coordinates for Y’?
ANSWER:
Y’: ______
19. Glenn starts with triangle QRS. He rotates it 180 degrees counterclockwise around
the origin. Which figure is the resulting image?
a.
b.
c.
d.
Figure A
Figure B
Figure C
Figure D
20. Rotate quadrilateral ABCD 90 degrees counterclockwise around point A. Label all
vertices.
21. Which of the following transformations will not result in a congruent figure?
a. Rotation
b. Dilation
c. Reflection
d. Translation
22. A triangle is translated three units to the right. What property is changed in the
translated image?
a. Length of the sides
b. Measure of the angles
c. Location in the coordinate grid
d. Shape of the figure
23. Consider triangle ABC. For which of these transformation will its orientation be
preserved?
a. Translation
b. Rotation 90 degrees clockwise
c. Rotation 180 degrees counterclockwise
d. Reflection
24. Consider parallelogram QRST. For which of these transformation will its orientation
change?
a. Dilation
b. Reflection over the x-axis
c. Rotation 90 degrees
d. Both B and C
25. Which is false about the resulting image of a rotation of 90 degrees?
a. The size is the same
b. The angles inside the figure are the same
c. It is congruent to the original figure
d. The orientation of the figures are the same
Use the diagram below to answer questions 26-27.
26. Which angle is congruent to angle S?
a. Angle Q’
b. Angle R’
c. Angle S’
d. Angle T’
27. Which side is congruent to ̅̅̅̅
𝑸𝑻?
̅̅̅̅̅̅
a. 𝑸’𝑻’
b. ̅̅̅̅
𝑺𝑻
c. ̅̅̅̅̅̅
𝑸’𝑹’
d. ̅̅̅̅
𝑸𝑹
28. Line s and line t intersect, as shown below. Which angles are vertical?
a.
b.
c.
d.
Angle 2 and 3
Angle 2 and 1
Angle 3 and 1
Angle 3 and 4
29. Line j and line k intersect, as shown below. Which two pairs are congruent angles?
a.
b.
c.
d.
Angle R and S; Angle T and U
Angle R and T; Angle U and S
Angle T and S; Angle U and R
Angle T and U; Angle T and S
30. Write in the measures of all missing angles.
31. If ‫ﮮ‬JKL and ‫ﮮ‬MNO are vertical angles and ‫ﮮ‬MNO = 60 degrees, what is the measure
of ‫ﮮ‬JKL?
a. 50 degrees
b. 60 degrees
c. 90 degrees
d. 120 degrees
In the figure below, lines AC and FD intersect at point B. Ray BE is perpendicular to the
line FD.
32. Which angle is complementary to angle CBF?
33. Name an angle that is supplementary to angle CBF:
34. In which diagram are ‫ﮮ‬1 and ‫ﮮ‬2 supplementary?
35. If ‫ﮮ‬JKL is supplementary to ‫ﮮ‬MNO and ‫ﮮ‬MNO = 130 degrees, what is the measure of
‫ﮮ‬JKL?
a. 50 degrees
b. 60 degrees
c. 70 degrees
d. 80 degrees
36. If ‫ﮮ‬B is complementary to ‫ﮮ‬G and ‫ﮮ‬B = 38 degrees, what is the measure of ‫ﮮ‬G?
a. 142 degrees
b. 152 degrees
c. 42 degrees
d. 52 degrees
37. In the diagram below, the m‫ﮮ‬1 = 2x. Which algebraic expression represents the
measure of angle 2?
a.
b.
c.
d.
2x
90 – 2x
90 + 2x
180 – 2x
38. What is the measure of ‫ﮮ‬x in the diagram below?
a.
b.
c.
d.
45 degrees
55 degrees
125 degrees
180 degrees
Use the diagram below to answer questions 39-41.
39. Name four pairs of corresponding angles in the diagram.
______ and _______
______ and _______
______ and _______
______ and _______
40. Name the alternate interior angles.
______ and _______
______ and _______
41. Name the alternate exterior angles.
______ and _______
______ and _______
42. Lines m and n are parallel. Which answer shows accurate angle relationships?
43-44.
45. Which of the shapes below does not have rotational symmetry?
a.
c.
b.
d.
46. Draw all of the lines of symmetry for the regular pentagon below.
47. Which line segment is the angle bisector for ‫ﮮ‬ABC?
a.
b.
c.
d.
AB
BC
BD
PQ
48. In the diagram above, which two angles are congruent?
a. ‫ﮮ‬ABC and ‫ﮮ‬ABD
b. ‫ﮮ‬DBC and ‫ﮮ‬ABD
c. ‫ﮮ‬DBA and ‫ﮮ‬CBA
d. ‫ﮮ‬PBQ and ‫ﮮ‬DBC
49. What type of construction is shown below?
a.
b.
c.
d.
Given a point on the line, construct a parallel line through a given line
Construct a perpendicular bisector
Construct the bisector of an angle
Divide a line segment into n congruent line segments
50. Look at the triangle on the left. If you make three copies of the triangle and rotate
them so that the three angles are aligned, you get the formation on the right.
What does the formation of triangles on the right show about the interior measures of a
triangle?
BONUS: Find all missing angles below.