Select ALL the correct answers.

Which situations describe similar but not congruent triangles?

1. Triangle TUV is rotated 180° clockwise about the origin and translated 3 units up to create ΔT'U'V'.

2. The three angles of ΔGHI have the same measures as the three angles of ΔQRS, and the side lengths of ΔGHI are twice the corresponding side lengths of ΔQRS.

3.Two of the angles of ΔABC have the same measures as two of the angles of ΔDEF, and all of the corresponding side lengths of the two triangles are different.

4. Triangle PQR is dilated about the origin by a scale factor of and reflected across the y-axis to create ΔP'Q'R'.

5. The three side lengths of ΔJKL are the same as the three corresponding side lengths of ΔXYZ, and one of the angles of ΔJKL has the same measure as one of the angles of ΔXYZ.

1 answer

2. The three angles of ΔGHI have the same measures as the three angles of ΔQRS, and the side lengths of ΔGHI are twice the corresponding side lengths of ΔQRS.

4. Triangle PQR is dilated about the origin by a scale factor of and reflected across the y-axis to create ΔP'Q'R'.