Question

decide if this statement is valid or invalid
if two sides of a triangle are congruent, then the triangle is isosceles. in δabc, \\( \overline { a b } \cong \overline { b c } \\), so δabc is isosceles.
invalid valid

Explanation:

Step1: Recall the definition of an isosceles triangle

An isosceles triangle is a triangle with at least two congruent sides.

Step2: Analyze the given statement

The statement says if two sides of a triangle are congruent, then the triangle is isosceles. In \(\triangle ABC\), \(\overline{AB}\cong\overline{BC}\), which means \(\triangle ABC\) has two congruent sides.

Answer:

Valid