gwendolyn7
Answered

The coordinates of the vertices of △ABC are A(1,1), B(5,1), and C(5,3). The coordinates of the vertices of △A′B′C′ are A′(−1,−1), B′(−5,−1), and C′(−5,−3)

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Which statement correctly describes the relationship between △ABC
and △A′B′C′ ?

A.) △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′
using a translation 2 units to the left and 2 units down, which is a rigid motion.
B.) △ABC is not congruent to △A′B′C′ because there is no sequence of rigid motions that maps △ABC to △A′B′C′
.
C.) △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′
using a rotation of 180° about the origin, which is a rigid motion.
D.) △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a reflection across the y-axis, which is a rigid motion.

Answer :

D.) △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a reflection across the y-axis, which is a rigid motion.
aramisdegaula1977

Answer:

D.) △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a reflection across the y-axis, which is a rigid motion.

Step-by-step explanation:

Two regular geometric figures, in particular two triangles, are congruent when their sides have exactly the same lengths and the same measured angles.

A reflection is a rigid movement that does not alter the lengths of the sides or the measures of the angles. The triangle △A'B'C' is obtained from a reflection of the triangle △ ABC through the Y axis.

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