Answered

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.

Verified Answer :

Answer:

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

\((x,y)\rightarrow (-x,-y)\)

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

\((x,y)\rightarrow (-x,-y)\)

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

Therefore option 2 is correct.

sagepool10

Answer:

The triangles are congruent because △R′S′T′ is a translation of△RST , and a translation is a rigid motion.

Step-by-step explanation:

i took the test

Related Questions