Question

Select the correct answer from each drop-down menu.
∆ABC has vertices at A(12, 8), B(4, 8), and C(4, 14).
∆XYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14).
∆MNO has vertices at M(4, 16), N(4, 8), and O(-2, 8).
∆JKL has vertices at J(14, -2), K(12, 2), and L(20, 4).
___________are congruent. A __________is a single rigid transformation that maps the two congruent triangles.

Answer 1

Answer:

• ∆ABC and ∆MNO
• rotation 90° about (4, 8)

Step-by-step explanation:

The two triangles that have the same side lengths (3-4-5) are ∆ABC and ∆MNO, hence these are the ones that are congruent. ∆ABC is a 90° clockwise rotation of ∆MNO. They have a shared point at B = N = (4, 8), which is the center of the rotation.

Of course, the rotation could also be described as a CCW rotation of ∆ABC to make ∆MNO.

Answer 2

Answer:

∆ABC and ∆MNO

rotation 90° about (4, 8)

Step-by-step explanation: