Question

AABC has vertices at A(11,6), B(5,6), and C(15, 17).

AXYZ has vertices at X(10,5), Y(12,-2), and Z(-4, 15).
AMNO has vertices at M(-9,-4), N(-3, -4), and O(0,-3).
AJKL has vertices at J(17,-2), K(12,-2), and L(12, 7).
APQR has vertices at A(12, 3), B(12,-2), and A(3,-2).
Can be shown to be congruent by a sequence of reflections and translations.
Can be shown to be congruent by a single rotation.

Answer 1

Triangle ABC and triangle MNO can be shown to be congruent by a sequence of reflections and translations.

Triangle JLK and triangle PQR can be shown to be congruent by a single rotation.

How to interpret the sequence transformation?

Vertices are the points where the edges of three-dimensional shapes such as cubes, pyramids, and spheres meet. Vertices is the plural of vertex.

AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.

AXYZ can be shown to be congruent by a single rotation.

KL and APQR cannot be shown to be congruent by either a sequence of reflections and translations or a single rotation.

Thus, the correct answers are:

Triangle ABC and triangle MNO can be shown to be congruent by a sequence of reflections and translations.

Triangle JLK and triangle PQR can be shown to be congruent by a single rotation.