Question

Triangle abd is an isoceles. Write down all the statements that are true.

1) The base angles of triangle abd are congruent
2) The side lengths of triangle abd are congruent
3) Triangle abd is a right triangle
4) Triangle abd is an equilateral triangle

Answer 1

The base angles and side lengths of an isosceles triangle are congruent, but it is not necessarily a right or equilateral triangle.

Step-by-step explanation:

Triangle ABD is an isosceles triangle, which means it has two sides that are congruent in length. Therefore, statement 2 is true: The side lengths of triangle ABD are congruent. The base angles of an isosceles triangle are also congruent, so statement 1 is also true: The base angles of triangle ABD are congruent.

However, the other two statements are not true. Triangle ABD is not necessarily a right triangle (statement 3) or an equilateral triangle (statement 4). These properties only hold for specific types of triangles, but not for all isosceles triangles.