Question

question 12 (multiple choice worth 4 points) (02.03r mc) peter reflected trapezoid abcd across the y - axis. if angle a is 115° and angle b is 65°, what is the degree measurement of angle a? 65° 50° 115° 180°

Explanation:

Step1: Recall the property of reflection

Reflection is a rigid transformation. Rigid transformations (like reflection) preserve the shape and size of the figure. So, the measure of an angle in the original figure is equal to the measure of the corresponding angle in the reflected figure.

Step2: Identify the relationship between angle \(A\) and angle \(A'\)

Since trapezoid \(ABCD\) is reflected across the \(y -\)axis to get trapezoid \(A'B'C'D'\), angle \(A\) and angle \(A'\) are corresponding angles.

By the property of reflection (rigid transformation), \(m\angle A=m\angle A'\)

Given \(m\angle A = 115^{\circ}\)

Answer:

\(115^{\circ}\) (corresponding to the option with \(115^{\circ}\))