Side Splitter Theorem Worksheet

Practice applying the Side Splitter Theorem to find unknown lengths in triangles.

Grade 9 Math GeometrySide Splitter Theorem

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Includes

3 Short AnswerFill in the BlanksTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.HSG.SRT.B.4

Topics

mathgeometryside splitter theoremgrade 9

8 sections · Free to use · Printable

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Side Splitter Theorem Practice

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Read each problem carefully and use the Side Splitter Theorem to find the unknown lengths. Show all your work.

1. In the triangle below, DE is parallel to BC. If AD = 6, DB = 9, and AE = 8, find EC.

2. Given triangle PQR, ST is parallel to QR. If PS = 4, SQ = 6, and PR = 15, find PT and TR.

3. If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides .

4. The Side Splitter Theorem can only be applied to right triangles.

True

False

5. In triangle XYZ, line segment AB is parallel to YZ. Which of the following proportions is correct according to the Side Splitter Theorem?

XA/AY = XB/BZ

XA/XB = AY/BZ

XY/XA = XZ/XB

All of the above

6. A triangle has vertices at (0,0), (6,0), and (3,9). If a line parallel to the base (x-axis) is drawn at y=3, what are the coordinates of the points where it intersects the other two sides?