Question

If angle EAB and angle DCB are right angles, how do you prove triangle EAB is congruent to triangle DCB?

Answer 1

To prove that
`\triangle EAB \cong \triangle DCB`, we can use the side-angle-side (SAS) congruence criteria.

To prove that triangle EAB is congruent to triangle DCB, we need to show that they have congruent sides and congruent angles.

Since
`\angle EAB` and
`\angle DCB` are both right angles, they are congruent. This is because all right angles are congruent.

Next, we can look at the sides. We know that AB = CD because corresponding sides of congruent triangles are congruent.

Also, EA = CB because they are both parts of the same line, so they have the same length.

Therefore,
`\triangle EAB`
`\cong`
`\triangle DCB` by the side-angle-side (SAS) congruence criteria.

The probable question may be: "If
`\angle EAB` and
`\angle DCB` are right angles, how do you prove
`\triangle EAB`
`\cong`
`\triangle DCB`?"