Name ________________________________________ Date __________________ Class __________________
MODULE
1
Tools of Geometry
Module Quiz: B
5. Indicate whether each of the following
names the angle correctly.
1. Name the indicated geometric figures for
the figure shown. Be sure to use correct
notation.
A Name a point.
_________
B Name a ray through Y. _________
C Name a line through Z. _________
D Name a plane.
_________
For 2–3, use the graph.
A ∠B
Yes
No
B ∠BNT
Yes
No
C ∠TBN
Yes
No
D ∠NBT
Yes
No
For 6–7, use the figure.
6. Use a straightedge and compass to
construct an angle bisector for ∠Q.
Show all work.
2. Determine the measure of each segment.
Then indicate whether the statements are
True or False.
A
AB ≅ JK
True
False
B
AB ≅ GH
True
False
C GH ≅ JK
True
False
7. In ∠Q, name the bisected angles 1 and 2.
If m∠1 is 4x + 3y, can m∠Q be
determined in terms of x and y? If so,
state m∠Q in terms of x and y and
explain your reasoning. If not, explain
why not.
________________________________________
3. What is the midpoint of AB ?
________________________________________
________________________________________
________________________________________
4. ST lies on the coordinate plane with
S located at (3, 2). The midpoint of ST
is Z(3, 5). Can the location of T be
determined? If so, state the location.
If not, explain why not.
________________________________________
________________________________________
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
15
Name ________________________________________ Date __________________ Class __________________
MODULE
1
Tools of Geometry
Module Quiz: B
Use the following for 8–9.
Use the figure for 13–14.
+ABC maps to triangle +A′B′C′.
Preimage
A( −4, 3)
→
Image
A′(4, 3)
B( −3, −3)
C (1, 2)
→
→
B′(3, −3)
C ′( −1, 2)
For the figure, m∠JKL = 54°.
8. State the rule.
________________________________________
9. Is this a rigid motion? How do you know?
13. Which theorem or postulate can be used
to determine m∠MKL?
________________________________________
________________________________________
________________________________________
14. What is m∠MKL?
________________________________________
+
10. Draw the image LKM under the
transformation (x, y) → (x + 3, 2y).
________________________________________
Use the transformation below for 15–17.
( x, y ) → (2 x,
1
y)
2
15. Find the image of the points A(0, 0),
B(4, 0), C(4, 4), and D(0, 4) under this
transformation.
________________________________________
16. The points in #15 define a square in the
xy-coordinate plane. Do the images of
these points also define a square?
Explain.
11. Using the figure above, is the
transformation a rigid motion? Explain.
________________________________________
________________________________________
________________________________________
________________________________________
17. Is this transformation a rigid motion?
Explain.
12. In a figure, m∠1 = m∠2 and
m∠2 = m∠3. Which property can be used
to reason that m∠1 = m∠3?
________________________________________
________________________________________
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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