Using Triangle Similarity Theorems

Question 1

Is KM ∥ JN? Why or why not?

Revolt · Accepted Answer

Yes, because .

Question 2

Complete the steps of the proof.

Revolt · Accepted Answer

♣:: triangle STU is similar to triangle XYU; ♦:: subtraction property

Question 3

♦:

Revolt · Accepted Answer

✔ subtraction property

Question 4

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 5

We can apply the [___] theorem: ED = BA.

Revolt · Accepted Answer

triangle midsegment

Question 6

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

Revolt · Accepted Answer

5

Question 7

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

Revolt · Accepted Answer

10

Question 8

Question 112544

Revolt · Accepted Answer

QP = UT; TS = RQ; SU = PR; SU ∥ RP

Question 9

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 10

[___] ⇒ 9.8 meters

Revolt · Accepted Answer

9.8

Using Triangle Similarity Theorems Answers

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