IM Geo.2.9 Practice: Side-Side-Side Triangle Congruence

A kite is a quadrilateral which has 2 sides next to each other that are congruent and where the other 2 sides are also congruent.

Given kite , show that at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.

Why can she now conclude that diagonal bisects angles and ?

Angle has a measure of 133 degrees and angle has a measure of 60 degrees. Find the measure of angle .

Select all statements for which the converse is also always true.

Select all that apply

A
Statement: If 2 angles form a straight angle, then they are supplementary. Converse: If 2 angles are supplementary, then they form a straight angle.
B
Statement: In an isosceles triangle, the base angles are congruent. Converse: If the base angles of a triangle are congruent, then the triangle is isosceles.
C
Statement: If a point is equidistant from the 2 endpoints of a segment, then it lies on the perpendicular bisector of the segment. Converse: If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.
D
Statement: If 2 angles are vertical, then they are congruent. Converse: If 2 angles are congruent, then they are vertical.
E
Statement: If 2 lines are perpendicular, then they intersect to form 4 right angles. Converse: If 2 lines intersect to form 4 right angles, then they are perpendicular.

Prove triangle is congruent to triangle .

Angle has a measure of 84 degrees and angle has a measure of 24 degrees. Find the measure of angle .