Question

multiple answer 1 point
a triangle has a line of symmetry. select all conclusions that must be true.
all sides of the triangle have the same length.
all angles of the triangle have the same measure.
no sides of the triangle have the same length.
no angles of the triangle have the same measure.
two sides of the triangle have the same length.
two angles of the triangle have the same measure.

Explanation:

A triangle with a line of symmetry is an isosceles triangle (or an equilateral triangle which is a special - case of isosceles). In an isosceles triangle, two sides have the same length and the angles opposite those equal - length sides have the same measure. An equilateral triangle has all sides equal and all angles equal, but just having a line of symmetry doesn't guarantee all sides or all angles are equal.

Answer:

Two sides of the triangle have the same length.
Two angles of the triangle have the same measure.