4. How long is ET? A.5 В. 6 С. 15 D. 20 5. How long is CE ? A.5 В. 6 C. 15 D. 16 6. Given APQR AXYZ and P- OR PR Which of the following justifies the similarity between XY YZ XZ the two triangles? A. AA Similarity Theorem B. SSS Similarity Theorem 7. Two isosceles triangles are similar and the ratio of the corresponding sides is 3 : 5. If the base of C. AAA Similarity Theorem D. SAS Similarity Theorem the smaller triangles is 18 cm, what is the length of the base of the larger triangle? C. 32 cm A. 25 cm For numbers 8- 10, consider the condition below. В. 30 ст D. 35 cm 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 A. PL LM ST В. US PM С. PL PL ST D. US LM PM LM UT 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 С. 24 ст D. 26 cm 11. In AABC, MN divides sides AC and AB proportionally. If AB 8 and MC AB 3. find NB. С. 8 D. 24 A. 2 В. 6 12. In number 11, which segment is parallel to BC? M. C. MN D. NB A. AB В. АС Fig B 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 А. RS KS MS AS C. RS AK R. K MA AS В. RK MS MR MS D. 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 %3D %3D %3D А. 3.6 В. 5 C. 5.4 D. 7 15. Which pair of triangles is sometimes similar? A. Two equilateral triangles B. An acute and an obtuse triangle C. two right triangles D. an obtuse and a right triangle 16. Which pair of triangles is never similar? A. Two equilateral triangles B. An acute and an equilateral triangle a right and an isosceles triangle D. an obtuse and a right triangle

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 34E: Use Exercise 33 and the following drawing to complete the proof of this theorem: The length of the...
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Question
8&9&10 only
4. How long is ET ?
A.5
С. 15
D. 20
В. 6
5. How long is CE?
A.5
C. 15
D. 16
6. Given APQR AXYZ and
XY
В. 6
PQ QR PR
YZ XZ
Which of the following justifies the similarity between
the two triangles?
A. AA Similarity Theorem
B. SSS Similarity Theorem
7. Two isosceles triangles are similar and the ratio of the corresponding sides is 3 : 5. If the base of
C. AAA Similarity Theorem
D. SAS Similarity Theorem
the smaller triangles is 18 cm, what is the length of the base of the larger triangle?
C. 32 cm
A. 25 cm
В. 30 ст
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
A.
PL LM
ST
В.
LM UT
PL ST
D.
US LM
PM
US PM
C.
PL
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
В. 22 ст
С. 24 ст
D. 26 cm
11. In AABC, MN divides sides AC and AB proportionally. If AB= 8 and
MC
AB
3.
find NB.
A. 2
В. 6
12. In number 11, which segment is parallel to BC?
C. 8
D. 24
M.
C. MN
D. NB
A. AB
В. АС
Fig. B
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.
RS KS
MS AS
C.
RS AK
R.
K
MA AS
В.
RK MS
MR MS
D.
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
%3D
%3D
%3D
В. 5
C. 5.4
D. 7
A. 3.6
15. Which pair of triangles is sometimes similar?
A. Two equilateral triangles
B. An acute and an obtuse triangle
C. two right triangles
D. an obtuse and a right triangle
16. Which pair of triangles is never similar?
A. Two equilateral triangles
B. An acute and an equilateral triangle
a right and an isosceles triangle
D. an obtuse and a right triangle
Transcribed Image Text:4. How long is ET ? A.5 С. 15 D. 20 В. 6 5. How long is CE? A.5 C. 15 D. 16 6. Given APQR AXYZ and XY В. 6 PQ QR PR YZ XZ Which of the following justifies the similarity between the two triangles? A. AA Similarity Theorem B. SSS Similarity Theorem 7. Two isosceles triangles are similar and the ratio of the corresponding sides is 3 : 5. If the base of C. AAA Similarity Theorem D. SAS Similarity Theorem the smaller triangles is 18 cm, what is the length of the base of the larger triangle? C. 32 cm A. 25 cm В. 30 ст 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 A. PL LM ST В. LM UT PL ST D. US LM PM US PM C. PL 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 В. 22 ст С. 24 ст D. 26 cm 11. In AABC, MN divides sides AC and AB proportionally. If AB= 8 and MC AB 3. find NB. A. 2 В. 6 12. In number 11, which segment is parallel to BC? C. 8 D. 24 M. C. MN D. NB A. AB В. АС Fig. B 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. RS KS MS AS C. RS AK R. K MA AS В. RK MS MR MS D. 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 %3D %3D %3D В. 5 C. 5.4 D. 7 A. 3.6 15. Which pair of triangles is sometimes similar? A. Two equilateral triangles B. An acute and an obtuse triangle C. two right triangles D. an obtuse and a right triangle 16. Which pair of triangles is never similar? A. Two equilateral triangles B. An acute and an equilateral triangle a right and an isosceles triangle D. an obtuse and a right triangle
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