Using Triangle Similarity Theorems

Question 1

Is KM ∥ JN? Why or why not?

Revolt · Accepted Answer

Yes, because .

Question 2

Question 2

Revolt · Accepted Answer

triangle midsegment

Question 3

Question 3

Revolt · Accepted Answer

5

Question 4

Question 4

Revolt · Accepted Answer

10

Question 5

Question 5

Revolt · Accepted Answer

112520

Question 6

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?

Revolt · Accepted Answer

The length of GH is half the length of KL.

Question 7

What is the length of BC? From the markings on the diagram, we can tell E is the midpoint of BC and is the midpoint of AC We can apply the theorem: ED = BA. Substituting in the expressions for the lengths and solving for x, we get x = . Now, since BE = x, then BC = .

Revolt · Accepted Answer

D; Selection 1: D; Selection 2: triangle midsegment; Selection 3: 5; Selection 4: 10

Question 8

Question 9

Revolt · Accepted Answer

112543

Question 9

Which value of x would make LK ∥ OM?

Revolt · Accepted Answer

x = 8

Question 10

Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?

Revolt · Accepted Answer

226 ft

Using Triangle Similarity Theorems Answers

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