Using Triangle Similarity Theorems

Question 1

Is KM ∥ JN? Why or why not?

Revolt · Accepted Answer

Yes, because .

Question 2

We can apply the [___] theorem: ED = One-half [image 1] BA.

Revolt · Accepted Answer

triangle midsegment

Question 3

Substituting in the expressions for the lengths and solving for x, we get x = [___].

Revolt · Accepted Answer

5

Question 4

Now, since BE = x, then BC = [___].

Revolt · Accepted Answer

10

Question 5

From the markings on the diagram, we can tell E is the midpoint of BC and [___] is the midpoint of AC

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

[___] ⇒ 9.8 meters

Revolt · Accepted Answer

9.8

Question 7

Question 112545

Revolt · Accepted Answer

QP = UT; TS = RQ; SU = PR; SU ∥ RP

Question 8

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?The length of JK equals the length of JL.The length of GH is half the length of KL.The slope of JK equals the slope of JL.The slope of GH is half the slope of KL.

Revolt · Accepted Answer

The length of GH is half the length of KL.

Question 9

Which value of x would make LK ∥ OM? x = 2x = 2.4x = 4.8x = 8

Revolt · Accepted Answer

x = 4.8

Question 10

Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?75 ft226 ft307 ft347 ft

Revolt · Accepted Answer

307 ft

Using Triangle Similarity Theorems Answers

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