NAME_________________________________________DATE_______________PERIOD_________SCORE_________
Math – Class Quiz Topic 1. What is the length of ̅̅̅̅
𝐶𝐷 ?
Ⓐ
Ⓑ
Ⓒ
Ⓓ
3
11.3
28
32
2. If ̅̅̅
𝐽𝐾 ≅ ̅̅̅̅̅
𝑀𝐾 , the length of ̅̅̅̅
𝐽𝑀 is _______.
3. G is the circumcenter of triangle ACE.
Find AE to the nearest tenth.
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NAME_________________________________________DATE_______________PERIOD_________SCORE_________
AE = ________
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4. The length of ̅̅̅̅
𝐶𝐵 is [ Ⓐ 1 Ⓑ 5 Ⓒ 19 ], and m∠BDA is
[ Ⓐ 90 Ⓑ 67 Ⓒ 23 ]°.
5. True or false: If G is the incenter of
triangle ABC, then GD = GE = GF.
Ⓐ True
Ⓑ False
6. Given G is the incenter of triangle ABC, choose the correct lengths
and angle measurements.
m∠GCF = [ Ⓐ 21 Ⓑ 31 Ⓒ 38 Ⓓ 59 ]°
m∠CGF = [ Ⓐ 21 Ⓑ 31 Ⓒ 38 Ⓓ 59 ]°
m∠DAG = [ Ⓐ 21 Ⓑ 31 Ⓒ 38 Ⓓ 59 ]°
m∠DBG = [ Ⓐ 21 Ⓑ 31 Ⓒ 38 Ⓓ 59 ]°
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NAME_________________________________________DATE_______________PERIOD_________SCORE_________
DA ≈ [ Ⓐ 5.7 Ⓑ 7.5 Ⓒ 11.7 ]
BG ≈ [ Ⓐ 5.7 Ⓑ 7.5 Ⓒ 11.7 ]
GC ≈ [ Ⓐ 5.7 Ⓑ 7.5 Ⓒ 11.7 ]7
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NAME_________________________________________DATE_______________PERIOD_________SCORE_________
7. In JKL, Q is the centroid and ML = 48.
MQ = _______
QL = _______ 8
8. Graph the orthocenter of ABC.
9. BIRDS Sunil is designing a triangular-shaped bird bath. A pole will
attach under the bird bath to hold it up.
Where should the pole be placed in order to balance the bird bath?
Ⓐ (4, 5.33)
Ⓑ (5.5, 4.83)
Ⓒ (4.76, 5.01)
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Ⓓ (5, 5)
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10. Complete the table by placing an X in the appropriate column for
each angle measure.
Measures Less
Than m∠7
Measures
Greater Than
m∠8
m∠1
m∠2
m∠3
m∠4
m∠5
11. True or false: In QRS, the angles of the triangle ordered from
least to greatest are ∠Q, ∠R, ∠S.
Ⓐ True
Ⓑ False
12. Complete the proof.
Given: RST, RT > ST
Prove: m∠RST > m∠R
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NAME_________________________________________DATE_______________PERIOD_________SCORE_________
Proof: Since RT > ST, there exists a point Q on ̅̅̅̅
𝑅𝑇 where ̅̅̅̅
𝑄𝑇 is the
same length as ̅̅̅̅
𝑆𝑇 . By the Isosceles Triangle Theorem, ∠2 ≅ ∠3 and
by definition of congruent angles, m∠2 = m∠3.
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NAME_________________________________________DATE_______________PERIOD_________SCORE_________
13. Which assumption would you make to start an indirect proof for
the statement “If −8y < 24, then y > −3.”
Ⓐ
Ⓑ
Ⓒ
Ⓓ
y ≥ −3
y ≤ −3
y>3
y<3
14. RUNNING Quinn ran five times this week for a total distance
greater than 40 miles. Quinn says that, on average, he ran more than 8
miles on each run. Give an indirect proof to show that Quinn is
correct.
15
15. Complete the table by placing an X in the appropriate column to
tell whether or not the given side lengths form a triangle.
Makes a
Triangle
Does Not Make
a Triangle
3 in., 5 in., 8 in.
5 cm, 7 cm, 13
cm
2.4 mm, 5.7
mm, 7.9 mm
3.1 cm, 3.1 cm,
6.1 cm
18.23 ft, 18.23
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ft, 18.23 ft
16. What is the possible range for the length of side LM?
Ⓐ
Ⓑ
Ⓒ
Ⓓ
8 < LM < 26
8 > LM > 26
LM > 8
LM < 26
17
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NAME_________________________________________DATE_______________PERIOD_________SCORE_________
17. BEES The location of three beehives in an apple orchard forms a
triangle. Hive A is 600 feet from Hive B. Hive B is 450 feet from
Hive C.
The possible range for the distance between Hive A and Hive C is
_______ < x < _______.
18. How do the lengths of sides ̅̅̅
𝐽𝐾 and ̅̅̅̅
𝐿𝑀 compare?
19
19. What is the range of possible values for x?
Ⓐ 1 < x < 7.27
Ⓑ 7.27 < x < 16.73
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NAME_________________________________________DATE_______________PERIOD_________SCORE_________
Ⓒ 0.36 < x < 8
Ⓓ 8 < x < 16.73
20. CAMPING While camping, Henry dropped his keys. Henry and
Aram leave their campsite to start looking for the keys.
 Henry walks 45 yards due east and then turns 25° north of east and
walks an additional 30 yards.
 Aram walks 45 yards due west and then turns 38° north of west
and walks another 30 yards.
At this point, [ Ⓐ Henry Ⓑ Aram ] is closer to the campsite.
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