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1. what are the corrospoding parts of these two traingles? Write the corresponding angles and corresponding sides. 2. Assuming these triangles are simular, use the labels to write the ratios of corresponding sides that are proportional 3. Assuming these triangles are simular, write three statements relating the angle that are congruent

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mathstudent55 mathstudent55 · Answer 1 · 2020-09-10T22:58:57+02:00

Answer:

See below.

Step-by-step explanation:

1. Look at the marks on the angles of both triangles.

Angles C and F have a single mark (that looks like an arc). They are congruent.

Angles A and D have a double mark (that look like arcs). They are congruent.

Angles B and E have a triple mark (that look like arcs). They are congruent.

Each pair of congruent angles is a pair of corresponding angles.

Corresponding angles:

<C and <F

<A and <D

<B and <E

For corresponding sides, we do this.

First, we write a statement of similarity.

Triangle ABC is similar to triangle DEF.

The statement of similarity must have the corresponding angles in the same order.

The order ABC and the order DEF matches corresponding angles.

The corresponding sides have the vertices of corresponding angles as their endpoints.

Corresponding sides:

AB and DE

BC and EF

AC and DF

2. For similar triangles, the ratios of the lengths of corresponding sides are equal.

The ratios of the lengths of corresponding sides are equal:

AB/DE = BC/EF = AC/DF

3.

<A is congruent to <D

<B is congruent to <E

<C is congruent to <F