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G-SRT.4 Warmup M2-049-A02-V03

Prove triangle-similarity theorems, including proportional segments and the Pythagorean Theorem via similarity.

Use the side-splitter theorem to find a missing segment

Problem

Use the side-splitter theorem to find the missing segment: split sides are \(3\) and \(9\) on \(\text{one}~\text{side}\), \(2\) and \(x\) on the other

Unworked geometric configuration showing only the supplied segment, angle, parallel, or right-angle evidence. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.4
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Prove triangle-similarity theorems, including proportional segments and the Pythagorean Theorem via similarity.
Problem type
Use the side-splitter theorem to find a missing segment