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Side Splitter Theorem Worksheet

Grade 11 Math worksheet covering the Side Splitter Theorem and its applications in triangles with parallel lines.

Grade 11 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 TheoremTrianglesParallel Lines
8 sections · Free to use · Printable
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Side Splitter Theorem Practice

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Read each question carefully and solve for the unknown values using the Side Splitter Theorem. Show all your work.

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

ABCDE698

2. Given triangle PQR, with segment ST parallel to segment QR. If PS = 4, SQ = 6, and PR = 15, find the length of PT and TR.

PQRST4615

3. The Side Splitter Theorem states that if a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides  .

4. Another name for the Side Splitter Theorem is the   Theorem.

5. The converse of the Side Splitter Theorem is also true.

T

True

F

False

6. In triangle XYZ, line segment MN is parallel to YZ. If XM = 3, MY = 5, and XN = 4, what is the length of NZ?

XYZMN354
a

6

b

6.67

c

8

d

10

7. A triangle has vertices at A(0,0), B(10,0), and C(5,8). A line parallel to BC intersects AB at D and AC at E. If AD = 4, find the coordinates of D and E.

02468101224681012