Question

Triangles JKL and MNO are shown in the figure. Which of the following transformations maps triangle JKL to triangle MNO? What is the relationship between the triangles?

A. Reflect triangle JKL over the x-axis; triangle JKL and triangle MNO are congruent
B. Rotate triangle JKL 180° clockwise about the origin; triangle JKL and triangle MNO are congruent
C. Dilate triangle JKL by a scale factor of 2 from point K; triangle JKL and triangle MNO are similar
D.Rotate triangle JKL 90° clockwise about the origin; triangle JKL and triangle MNO are congruent

Answer 1

Step-by-step explanation: Triangle JKL can be mapped to triangle MNO through a reflection over the x-axis. This means that each point in triangle JKL will have a corresponding point in triangle MNO, with the x-coordinates remaining the same and the y-coordinates changing sign.

To understand this transformation, let's consider the vertices of triangle JKL. The vertex J, with coordinates (2, 4), will be reflected to a new point J' with coordinates (2, -4). Similarly, K (5, 2) will be mapped to K' (5, -2), and L (3, 1) will be mapped to L' (3, -1).

After reflecting triangle JKL over the x-axis, we obtain triangle MNO, where the corresponding points in MNO are J', K', and L'.

In this case, the correct answer is A. Reflect triangle JKL over the x-axis; triangle JKL and triangle MNO are congruent.

Congruent triangles have the same shape and size. By reflecting triangle JKL over the x-axis, we are preserving the shape and size of the triangle, resulting in congruent triangles.