Problem preview

G-SRT.5 Warmup M2-050-A09-V04

Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.

Solve a triangle design with validity, method, scale, and side fields

Problem

A triangular garden sign with side lengths \(2~\text{ft}\), \(5~\text{ft}\), and \(6~\text{ft}\) is enlarged uniformly by a scale factor of \(3\). Calculate the \(\text{three}~\text{new}~\text{side}~\text{lengths}\) and classify the enlarged sign relative to the original.

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The enlarged sign is similar to the original and has side lengths 6 ft, 15 ft, and 18 ft.

The enlarged sign has side lengths 2/3 ft, 5/3 ft, and 2 ft because the scale factor is 1/3.

The enlarged sign is congruent to the original and keeps side lengths 2 ft, 5 ft, and 6 ft.

The enlarged sign has side lengths 5 ft, 8 ft, and 9 ft because 3 is added to each side.

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Curriculum context

Course: Math II
Standard: G-SRT.5
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.
Problem type: Solve a triangle design with validity, method, scale, and side fields