Using Triangle Similarity Theorems Answers
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1
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Is KM ∥ JN? Why or why not?
A
No, because .
B
Yes, because .
C
Yes, because
D
Yes, because .
2
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Question text not available
Answer:
10.5
3
Which statements are correct? Check all that apply.
A
QP = UT
B
TS = RQC
SU = PRD
SU ∥ RPE
UT ⊥ RP4
To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
A
The length of JK equals the length of JL.B
The length of GH is half the length of KL.C
The slope of JK equals the slope of JL.D
The slope of GH is half the slope of KL.5
What is the length of BC?
Answers:
From the markings on the diagram, we can tell E is the midpoint of BC and is the midpoint of AC:D
We can apply the theorem: ED = BA.:triangle midsegment
Substituting in the expressions for the lengths and solving for x, we get x = .:5
Now, since BE = x, then BC = .:10
6
converse of the side-splitterside-splitter✔ triangle midsegment
A
converse of the side-splitterB
side-splitterC
✔ triangle midsegment7
3✔ 58
A
3B
✔ 5C
88
2.56✔ 10
A
2.5B
6C
✔ 1021
Question text not available
Answer:
9.8
22
Which value of x would make LK ∥ OM?
A
x = 2B
x = 2.4C
x = 4.8D
x = 823
Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?
A
75 ftB
226 ftC
307 ftD
347 ft24
What is the length of BC?
Answers:
From the markings on the diagram, we can tell E is the midpoint of BC and is the midpoint of AC:D
We can apply the theorem: ED = BA.:triangle midsegment
Substituting in the expressions for the lengths and solving for x, we get x = .:5
Now, since BE = x, then BC = .:10
25
substitution property✔ subtraction propertytransitive property
A
substitution propertyB
✔ subtraction propertyC
transitive property26
Complete the steps of the proof.
Answers:
♦::subtraction property
27
What is the perimeter of △JKL?
A
6B
9.5C
11.5D
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