Question

State whether triangle abc and triangle aed are congruent. Justify your answer.

Answer 1

The triangle AED and triangle ABC are congruent by to each other by SSS congruency.

Further Explanation:

The congruent triangles are those in which all the corresponding angles and the sides are equal.

There are many congruency rules and are as follows.

1. Angle Angle Side (AAS)

2. Angle Side Angle (ASA)

3. Side Side Side (SSS)

4. Side Angle Side (SAS)

Given:

The side BC is equal to side DE.

The side AC is equal to side AD.

$\angle {\text{BAC}}=\angle {\text{DAE}}$

Explanation:

The side AB is of 7 units.

The side AE is of 7 units.

Therefore, the side AB is equal to side AE.

The sum of all the angle of a triangle is ${180^ \circ }$.

Consider the triangle ABC and triangle AED.

AB = AE

AC = AD

BC = DE

Therefore, the triangle ABC is congruent to triangle AED by SSS congruency.

The triangle AED and triangle ABC are congruent by to each other by SSS congruency.

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Triangle

Keywords: congruent, angles, triangle, ASA, angle side angle, congruent sides, acute angle, side, corresponding angles, congruent triangle.

Answer 2

ABC and AED are congruent by SSS. SSS is if three sides of a triangle are congruent to 3 sides of another triangle, then the triangles are congruent. AB and AE are both 7, BC is congruent to ED and CA is congruent to DA because of the tick marks.