Using Triangle Similarity Theorems

Question 1

Is KM ∥ JN? Why or why not?No, because .Yes, because .Yes, because Yes, because .

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Yes, because .

Question 2

Complete the steps of the proof.

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

Question 3

♦:

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✔ 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

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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.

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triangle midsegment

Question 6

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

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5

Question 7

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

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10

Using Triangle Similarity Theorems Answers

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