13 & 14 & 15 4. How long is ET ?A.5С. 15D. 20В. 65. How long is CE?A.5C. 15D. 166. Given APQR AXYZ andXYВ. 6PQ QR PRYZ XZWhich of the following justifies the similarity betweenthe two triangles?A. AA Similarity TheoremB. SSS Similarity Theorem7. Two isosceles triangles are similar and the ratio of the corresponding sides is 3 : 5. If the base ofC. AAA Similarity TheoremD. SAS Similarity Theoremthe smaller triangles is 18 cm, what is the length of the base of the larger triangle?C. 32 cmA. 25 cmВ. 30 стD. 35 cmFor 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 STA.PL LMSTВ.LM UTPL STD.US LMPMUS PMC.PLUT9. What is the length of LM?A. 12 cmB. 14 cmC. 16 cmD. 18 cm10. What is the length of PM?A. 20 cmВ. 22 стС. 24 стD. 26 cm11. In AABC, MN divides sides AC and AB proportionally. If AB= 8 andMCAB3.find NB.A. 2В. 612. In number 11, which segment is parallel to BC?C. 8D. 24M.C. MND. NBA. ABВ. АСFig. BFor numbers 13 and 14, refer to figure C.13. If RK/ MA, which of the following pairs of ratios form a proportion?MR AKA.RS KSMS ASC.RS AKR.KMA ASВ.RK MSMR MSD.AK KSMFig C14. If MS = 5, RS = 3, AS = 9, and AK = x, what is the value of x that will make RK parallel to%3D%3D%3DВ. 5C. 5.4D. 7A. 3.615. Which pair of triangles is sometimes similar?A. Two equilateral trianglesB. An acute and an obtuse triangleC. two right trianglesD. an obtuse and a right triangle16. Which pair of triangles is never similar?A. Two equilateral trianglesB. An acute and an equilateral trianglea right and an isosceles triangleD. an obtuse and a right triangle

Answered: Image /qna-images/answer/e0e103d5-7ca8-44ee-9d7b-c8b90e21e9b7.jpg

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 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 В. 5 C. 5.4 A. 3.6 15. Which pair of triangles is sometimes similar? A. Two equilateral triangles B. An acute and an obtuse triangle D. 7 C. two right triangles D. an obtuse and a right triangle

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 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 В. 5 C. 5.4 A. 3.6 15. Which pair of triangles is sometimes similar? A. Two equilateral triangles B. An acute and an obtuse triangle D. 7 C. two right triangles 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.

Chapter4: Quadrilaterals

Section4.1: Properties Of A Parallelogram

Problem 41E: The following problem is based on the Parallelogram Law. In the scaled drawing, each unit...

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Question

13 & 14 & 15

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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