Question

1. triangle jkl is graphed on the coordinate plane. consider the angle measures of the triangle.

angle	measure
k	108°
l	30°

if triangle jkl is rotated 90° clockwise about the origin to form triangle jkl, which statement is true?
a the measure of angle j is 108°, and the measure of angle k is 30°.
b the measure of angle k is 42°, and the measure of angle l is 108°.
c the measure of angle k is 108°, and the measure of angle j is 42°.
d the measure of angle l is 42°, and the measure of angle j is 30°.

Explanation:

Step1: Recall rotation property

Rotating a triangle does not change its angle - measures.

Step2: Identify original angle - measures

In \(\triangle JKL\), \(\angle J = 42^{\circ}\), \(\angle K=108^{\circ}\), \(\angle L = 30^{\circ}\).

Step3: Determine angle - measures after rotation

When \(\triangle JKL\) is rotated \(90^{\circ}\) clock - wise about the origin to form \(\triangle J'K'L'\), \(\angle J'=\angle J = 42^{\circ}\), \(\angle K'=\angle K = 108^{\circ}\), \(\angle L'=\angle L = 30^{\circ}\).

Answer:

C. The measure of angle \(K'\) is \(108^{\circ}\), and the measure of angle \(J'\) is \(42^{\circ}\).