Using Triangle Similarity Theorems Assignment

8 September 2022
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10 test answers

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question
Is KM ∥ JN? Why or why not?
answer
Yes, because 16/10 = 24/25
question
What is the length of GD? GD=
answer
10.5
question
Points S, U, and T are the midpoints of the sides of triangle PQR. Which statements are correct? Check all that apply.
answer
1/2QP=UT SU II RP
question
To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
answer
The length of GH is half the length of KL.
question
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 = 1/2BA. Substituting in the expressions for the lengths and solving for x, we get x = ________. Now, since BE = x, then BC = _________.
answer
D triangle midsegment 5 10
question
What is the distance between points M and N? _______ meters
answer
9.8
question
Which value of x would make LK ∥ OM?
answer
x = 8
question
The diagram shows the intersections of several straight roads. The avenues run parallel to each other. Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?
answer
226 ft
question
Given: triangle STU with ST ∥ XY Prove: SX/XU = TY/YU Complete the steps of the proof. ♣: ♦:
answer
♣: triangle STU is similar to triangle XYU ♦: subtraction property
question
MO, MN, and ON are the midsegments of â–³JKL. What is the perimeter of â–³JKL?
answer
19