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Transcript
Geometry B
PRACTICE Unit 4B Quiz
Name______________________
Date_____________Block_____
25
Directions: This quiz is written to assess Days 1-3. Please answer each question to the best
of your ability. If the appropriate work is not shown, then points may be deducted.
1. List the side lengths of KLM in order from shortest to
longest. (1 pt)
KM
ML
KL
2. List the angle measures of DEF in order from smallest to
largest. (1 pt)
F
D
E
3. SHOW whether or not a triangle can have side lengths of 12, 16, and 5.
(2 pts)
YES  5  12  16
4. Two sides of a triangle have lengths 51 and 46. Find the range of values for the third side.
(2 pts)
51 46  5 ; 51 46  97 ; 5  x  97
5. Solve each proportion. Show your work. (2 pts each)
a.
3
x

8 56
8 x  168
x  21
b.
v 5
5

15
v 5
75  v 2  25
100  v 2
v  10
6. In a museum gift shop, a miniature dinosaur is 22.8 cm long and 15.9 cm tall. The package
states the actual dinosaur was 9 meters long. About how tall was the actual dinosaur? (2 pts)
long
22.8 9


tall
15.9 x
143.1  22.8 x
x  6.3 meters
7. Given that
x 4
 , then…
y 7
a. 7 x  4 y
b.
(1 pt each)
7 y

4 x
c.
7 4

y x
d.
x y

4 7
8. The angles in a triangle have a ratio of 1 : 5 : 6. Find the measure of the middle angle.
Show work. [hint – you do remember what all three angles of a triangle add up to, right?] (3 pts)
1x  5 x  6 x  180
12x  180
x  15
9. Fill in each blank below: similar if and only if…
(1 pt each)
a. Similar figures have the same SHAPE but not the same SIZE.
b. Figures are similar if and only if corresponding angles are CONGRUENT.
c. Figures are similar if and only if corresponding sides are PROPORTIONAL.
10. Given the similar triangles below:
(1 pt each)
a. Identify the corresponding sides (all 3 ratios).
KJ
JL
KL
16 36 24 4






NM MP NP
12 27 18 3
b. Identify the corresponding angles (all 3 pairs).
J  M; K  N; L  P
c. Write a similarity statement.
JKL MNP