The rule (x, y)→(−x, y) maps △ABCto △A′B′C′. Which statement correctly describes the relationship between △ABCand △A′B′C′?

The triangles are congruent because △A′B′C′ is a rotation of △ABC, and a rotation is a rigid motion.

The triangles are not congruent because △A′B′C′ is a reflection of △ABC, and a reflection is not a rigid motion.

The triangles are congruent because △A′B′C′ is a reflection of △ABC , and a reflection is a rigid motion.

The triangles are not congruent because △A′B′C′ is a translation of △ABC, and a translation is not a rigid motion.

The slope of a line is –2 and its y-intercept is (0, 3). what is the equation of the line that is parallel to the first line and passes through (2, 2)? a. 2x + y = 6 b. y = –2x + 3 c.y=1/2x +6 d.y=-2x-6

Which property is illustrated by the following statement? if hxa rgi, then rgi hxa.

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes