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

10.5

Question 3

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 4

What is the length of BC?

Revolt · Accepted Answer

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

Question 5

What is the length of BC?

Revolt · Accepted Answer

✔ D; 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

Question 6

converse of the side-splitterside-splitter✔ triangle midsegment

Revolt · Accepted Answer

✔ triangle midsegment

Question 7

3✔ 58

Revolt · Accepted Answer

✔ 5

Question 8

2.56✔ 10

Revolt · Accepted Answer

✔ 10

Question 9

Question 10

Revolt · Accepted Answer

9.8

Question 10

Which value of x would make LK ∥ OM?

Revolt · Accepted Answer

x = 8

Using Triangle Similarity Theorems Answers

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