Question

1. parallelogram rstu is located on the coordinate plane, and the measure of angle s is 98°. if the parallelogram is reflected across the x-axis to form parallelogram rstu, what is the measure of angle s?

a 49°
b 82°
c 98°
d 196°

○ a
○ b
○ c
○ d

Explanation:

Step1: Recall reflection properties

Reflection across the x - axis is a rigid transformation. Rigid transformations (like reflection, translation, rotation) preserve the shape and size of a figure, including the measures of its angles.

Step2: Apply to the parallelogram

In parallelogram \(RSTU\), angle \(S\) has a measure of \(98^{\circ}\). When we reflect \(RSTU\) across the x - axis to get \(R'S'T'U'\), the corresponding angle \(S'\) in the reflected parallelogram will have the same measure as angle \(S\) because reflection is a rigid transformation.

Answer:

C. \(98^{\circ}\)