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Geometry CP
Unit 4 Test Review
1. Find the values of the variables.
The diagram is not to scale.
2. Find the value of x. The diagram is
not to scale.
3. The folding chair has different
settings that change the angles
formed by its parts. Suppose m⦟2
is 24ᵒ and m⦟3 is 67ᵒ. Find m⦟1.
The diagram is not to scale.
Name:
4. A star patterned quilt has a star
with the angles shown. What is
the value of x? The diagram is not
to scale.
5. The two triangles are congruent as
suggested by their appearance.
Find the value of c. The diagrams
are not to scale.
6. Are ∆ABC and ∆CDA congruent?
Justify your answer.
7. Given ∆ABC ≅ ∆DEF, AC = 2x + 3,
and DF = 4x – 9, find the length of
AC and DF.
8. What is the value of x?
12. Draw two triangles that would be
congruent by ASA.
13. IF ABCDE is congruent to FGHIJ,
then DE is congruent to what?
9. Name the theorem or postulate
that lets you immediately conclude
∆ABD ≅ ∆CBD.
14. What additional information will
allow you to prove the triangles
congruent by the HL Theorem?
10. In an A-frame house, the two
congruent sides extend from the
ground to form a 44ᵒ angle at the
peak. What angle does each side
form with the ground?
11. Is ∆ABC ≅ ∆DEF? Tell why or why
not.
15. Write a congruence statement for
the two triangles shown.