I need help with this problem(in the description):

Question

169.Plot points K = (−4,−3), L = (−3,4), M = (−6,3), X = (0,−5), Y = (6,−3), and Z = (5,0). Show that triangle KLM is congruent to triangle XZY. Describe a transformation that transforms KLM onto XZY . Where does this transformation send the point (−5, 0)?

Answer 1

It is not a rotation. It is a reflection since the two are mirror images.

To determine the line of reflection.

1) Determine slope of KX.

2) Determine negative reciprocal of above slope.

3) Deteremine mid-point of KX.

Use slope from 2) and point from 3) in point-slope form.

Note: this process could have used any pair of correcponsding points.

Answer 2

First, you can show congruency by checking the distance between KL vs XZ using the distance formula..

Next you will check the distance between LM and ZY..

Finally, you will check the distance between KM and XY.

I’ll be glad to discuss the transformation concepts with you in a scheduled session. Have a lovely day!