G.CO.B.6, G.CO.B.7, and G.CO.B.8 - Congruence Through Rigid Motions

Triangle ABC is mapped to A′B′C′ by a reflection across the y-axis. Which statement best describes the relationship between the two triangles?

Two triangles have two pairs of sides and the included angle equal. Which explanation best explains why this guarantees congruence?

Quadrilateral ABCD is mapped onto A'B'C'D' by a sequence of rigid motions.

Triangles PQR and P'Q'R' are shown.

For each statement, decide if it is Always True, Sometimes True, or Never True.

Triangle ABC is mapped onto Triangle A'B'C' by a sequence of transformations.

Which sets of information are enough to prove two triangles are congruent under a rigid motion? Select all that apply.

The quadrilateral ABCD is reflected across the y-axis and then translated 4 units left.

Triangles DEF and ABC are shown.

Maria is studying triangle congruence.