7
AssignmentMultiple Choice

Using Triangle Similarity Theorems

Question 7 • *CR CCSS Math 2 S2 [M2960OX]

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?

Answer
A
The length of JK equals the length of JL.
B
The length of GH is half the length of KL.
C
The slope of JK equals the slope of JL.
D
The slope of GH is half the slope of KL.

Explanation

The triangle midsegment theorem says that the segment joining the midpoints of two sides is parallel to the third side and has half its length. Here, that length relationship is that GH is half the length of KL, so the statement to show is “The length of GH is half the length of KL.”

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