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General Information

Related Standards: MAFS.912.G-SRT.2.4
Reporting Category: Geometry: Similarity, Right Triangles, & Trigonometry
Type: MC: Multiple Choice
Difficulty: N/A
Question:

Katherine uses begin mathsize 12px style increment A B C end style, where begin mathsize 12px style stack D E with bar on top parallel to stack A C with bar on top end style to prove that a line parallel to one side of a triangle divides the other two sides proportionally. A part of her proof is shown.

Which statement completes step 8 of the proof?

Answer Options:

A. BA-BD=DA and BC-BE=EC

B. AD=BD and CE=BE

C. begin mathsize 12px style fraction numerator B A over denominator B C end fraction equals fraction numerator D A over denominator E C end fraction end style

D.begin mathsize 12px style fraction numerator D A over denominator B D end fraction equals fraction numerator E C over denominator B E end fraction end style

Answer Key:
D

Aligned Standards

Code Description
MAFS.912.G-SRT.2.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.


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