B. SSS Similarity Theorem D. SAS Similarity Theorem 7. Two isosceles triangles are similar and the ratio of the corresponding sides is 3: 5. If the base of the smaller triangles is 18 cm, what is the length of the base of the larger triangle? C. 32 cm D. 35 cm A. 25 cm B. 30 cm For numbers 8-10, consider the condition below. d Di 12 cm

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Answer 7,11,12 only, Asap
4. How long is ET?
A.5
C. 15
D. 20
5. How long is CE?
A.5
C. 15
D. 16
QR PR
6. Given APQR AXYZ and
Which of the following justifies the similarity between
YZ XZ
the two triangles?
A. AA Similarity Theorem
C. AAA Similarity Theorem
B. SSS Similarity Theorem
D. SAS Similarity Theorem
7. Two isosceles triangles are similar and the ratio of the corresponding sides is 3: 5. If the base of
the smaller triangles is 18 cm, what is the length of the base of the larger triangle?
A. 25 cm
B. 30 cm
C. 32 cm
D. 35 cm
For numbers 8-10, consider the condition below.
Given two similar triangles, AUST and APLM, with US = 8 cm, ST = 12 cm, UT = 16 cm, and PL= 12 cm.
8. Which of the following proportions is correct?
US ST
ST
A.
PM
B.
C.
US PM
PL UT
D.
PL ST
US LM
PL LM
LM
UT
9. What is the length of LM?
A. 12 cm
B. 14 cm
C. 16 cm
D. 18 cm
10. What is the length of PM?
A. 20 cm
B. 22 cm
C. 24 cm
D. 26 cm
AB
11. In AABC, MN divides sides AC and AB proportionally. If AB = 8 and
3
==, find NB.
MC
A. 2
C. 8
D. 24
B. 6
12. In number 11, which segment is parallel to BC?
M
A. AB
C. MN
B. AC
D. NB
For numbers 13 and 14, refer to figure C.
13. If RK // MA, which of the following pairs of ratios form a proportion?
MR AK
A.
C.
MS AS
RS AK
RS KS
MA AS
MR MS
B.
D.
RK MS
AK KS
M
Fig. C
14. If MS=5, RS= 3, AS=9, and AK = x, what is the value of x that will make RK parallel to
B. 5
A. 3.6
C. 5.4
D. 7
15. Which pair of triangles is sometimes similar?
A. Two equilateral triangles
C. two right triangles
B. An acute and an obtuse triangle
D. an obtuse and a right triangle
16. Which pair of triangles is never similar?
A. Two equilateral triangles
C. a right and an isosceles triangle
B. An acute and an equilateral triangle
D. an obtuse and a right triangle
PQ
XY
B. 6
B. 6
Fig. B
K
Transcribed Image Text:4. How long is ET? A.5 C. 15 D. 20 5. How long is CE? A.5 C. 15 D. 16 QR PR 6. Given APQR AXYZ and Which of the following justifies the similarity between YZ XZ the two triangles? A. AA Similarity Theorem C. AAA Similarity Theorem B. SSS Similarity Theorem D. SAS Similarity Theorem 7. Two isosceles triangles are similar and the ratio of the corresponding sides is 3: 5. If the base of the smaller triangles is 18 cm, what is the length of the base of the larger triangle? A. 25 cm B. 30 cm C. 32 cm D. 35 cm For numbers 8-10, consider the condition below. Given two similar triangles, AUST and APLM, with US = 8 cm, ST = 12 cm, UT = 16 cm, and PL= 12 cm. 8. Which of the following proportions is correct? US ST ST A. PM B. C. US PM PL UT D. PL ST US LM PL LM LM UT 9. What is the length of LM? A. 12 cm B. 14 cm C. 16 cm D. 18 cm 10. What is the length of PM? A. 20 cm B. 22 cm C. 24 cm D. 26 cm AB 11. In AABC, MN divides sides AC and AB proportionally. If AB = 8 and 3 ==, find NB. MC A. 2 C. 8 D. 24 B. 6 12. In number 11, which segment is parallel to BC? M A. AB C. MN B. AC D. NB For numbers 13 and 14, refer to figure C. 13. If RK // MA, which of the following pairs of ratios form a proportion? MR AK A. C. MS AS RS AK RS KS MA AS MR MS B. D. RK MS AK KS M Fig. C 14. If MS=5, RS= 3, AS=9, and AK = x, what is the value of x that will make RK parallel to B. 5 A. 3.6 C. 5.4 D. 7 15. Which pair of triangles is sometimes similar? A. Two equilateral triangles C. two right triangles B. An acute and an obtuse triangle D. an obtuse and a right triangle 16. Which pair of triangles is never similar? A. Two equilateral triangles C. a right and an isosceles triangle B. An acute and an equilateral triangle D. an obtuse and a right triangle PQ XY B. 6 B. 6 Fig. B K
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