Regents Exam Questions CC.G.SRT.5: Similarity 1
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Name: __________________________________
CC.G.SRT.5: Use congruence and similarity criteria for triangles to solve problems
and to prove relationships in geometric figures.
1 The ratio of similarity of
length of
is
1) 5
2) 7
3) 10
4) 20
2 As shown in the diagram below,
Given
1)
2)
3)
4)
to
is
and
. If
intersect at E, and
, which equation is true?
and
, then the
.
Regents Exam Questions CC.G.SRT.5: Similarity 1
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3 Triangles ABC and DEF are drawn below.
If
1)
2)
,
,
6,
, and
, which statement is true?
3)
4)
4 In the diagram below,
.
Which measurements are justified by this similarity?
1)
,
,
, and
2)
,
,
, and
3)
,
,
, and
4)
,
,
, and
Regents Exam Questions CC.G.SRT.5: Similarity 1
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5 In the diagram below,
If
1)
2)
3)
4)
and
,
,
,
,
.
, which statement will justify similarity by SAS?
, and
, and
, and
, and
6 In
shown below, points T and O are on
drawn so that
.
If
1)
2)
3)
4)
,
, and
and
, what is the length of
, respectively. Segment OT is
?
5.6
8.75
11
15
7 Triangles RST and XYZ are drawn below. If
is
similar to
? Justify your answer.
,
,
,
, and
,
Regents Exam Questions CC.G.SRT.5: Similarity 1
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8 To find the distance across a pond from point B to point C, a surveyor drew the diagram
below. The measurements he made are indicated on his diagram.
Use the surveyor's information to determine and state the distance from point B to point C,
to the nearest yard.
9 A flagpole casts a shadow 16.60 meters long. Tim stands at a distance of 12.45 meters
from the base of the flagpole, such that the end of Tim's shadow meets the end of the
flagpole's shadow. If Tim is 1.65 meters tall, determine and state the height of the
flagpole to the nearest tenth of a meter.
Regents Exam Questions CC.G.SRT.5: Similarity 1
www.jmap.org
1 ANS: 4
REF: 011620geo
2 ANS: 2
3 ANS: 3
REF: 061515geo
4 ANS: 4
REF: 081517geo
5 ANS: 1
REF: 011613geo
6 ANS: 3
REF: 011624geo
7 ANS:
SAS
REF: 081529geo
8 ANS:
REF: 081527geo
9 ANS:
REF: 081519geo
Regents Exam Questions CC.G.SRT.5: Similarity 1
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REF: 061531geo