Congruent Triangles ABC and CDA: Finding Equal Angles

Question

Triangles ABC and CDA are congruent.

Which angle is equal to angle BAC?

Video Solution

Solution Steps

00:00 In overlapping triangles, which angle corresponds to angle BAC?

00:03 The triangles are overlapping according to the given information

00:09 Let's examine all corresponding angles in order

00:34 When writing an angle with 3 letters, the middle letter represents the vertex

00:46 Therefore, we'll find the corresponding angles for these triangles

00:51 And this is the solution to the question

Step-by-Step Solution

We observe the order of the letters in the congruent triangles and write the matches (from left to right).

$ABC=CDA$

That is:

Angle A is equal to angle C.

Angle B is equal to angle D.

Angle C is equal to angle A.

From this, it is deduced that angle BAC (where the letter A is in the middle) is equal to angle C — that is, to angle DCA (where the letter C is in the middle).

Answer

Related Subjects

Congruent Triangles Congruence of Right Triangles (using the Pythagorean Theorem)