The rule (x, y)→(−x,−y)(x, y)→(−x,−y) maps △rst△rst to △r′s′t′△r′s′t′.

which statement correctly describes the relationship between △rst△rst and △r′s′t′△r′s′t′ ?

the triangles are congruent because △r′s′t′△r′s′t′ is a translation of △rst△rst , and a translation is a rigid motion.

the triangles are congruent because △r′s′t′△r′s′t′ is a rotation of △rst△rst , and a rotation is a rigid motion.

the triangles are not congruent because △r′s′t′△r′s′t′ is a rotation of △rst△rst , and a rotation is not a rigid motion.

the triangles are not congruent because △r′s′t′△r′s′t′ is a translation of △rst△rst , and a translation is not a rigid motion.

The correct option is 2. The triangles are congruent because △R′S′T′ is a rotation of △RST, and a rotation is a rigid motion.

Step-by-step explanation:

It is given that △RST maps to △R′S′T′ by using the rule

Since the absolute values of x and y-coordinates are same but the sign of both coordinates are changed. It is possible, if the figure is rotated 180 degree about the origin.

When a figure rotated 180 degree about the origin, then

Rotation is a rigid motion and image and preimage are congruent to each other.

Therefore option 2 is correct.

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.