Similarity and Congruence Calculator

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Example

Created on 2024-06-20Asked by Henry Martin (Solvelet student)

Determine if the triangles with side lengths

(3, 4, 5)

and

(6, 8, 10)

are similar or congruent.

Solution

To determine if the triangles with side lengths

(3, 4, 5)

and

(6, 8, 10)

are similar or congruent: 1. **Check for similarity:**

\frac{6}{3} = \frac{8}{4} = \frac{10}{5} = 2.

Since the ratios of corresponding sides are equal, the triangles are similar. 2. **Check for congruence:** The triangles are not congruent since the side lengths are not identical. 3. **Conclusion:** The triangles are similar but not congruent. Solved on Solvelet with Basic AI Model

Some of the related questions asked by Sophia Mitchell on Solvelet

1. Determine if the triangles

\triangle ABC

and

\triangle DEF

\frac{AB}{DE} = 2

\frac{BC}{EF} = 3

\frac{AC}{DF} = 5

.2. Find the measure of angle

x

in the triangle below, given that

\triangle ABC

is similar to

\triangle DEF

DefinitionWe learned, the geometric concepts of similarity and congruence are vital. Similar shapes are the same but vary in size, with the size difference being a scale. Congruent shapes are the same in shape and size. In a similar shape, the sides of the triangles’ corresponding angles are equal.

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