The coordinates of the vertices of △pqr are p(1, 4) , q(2, 2) , and r(−2, 1) . the coordinates of the vertices of △p′q′r′ are p′(−1, 4) , q′(−2, 2) , and r′(2, 1) . which statement correctly describes the relationship between △pqr and △p′q′r′ ? a) △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a reflection across the x-axis, which is a rigid motion. b) △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a reflection across the y-axis, which is a rigid motion. c) △pqr is congruent to △p′q′r′ because you can map △pqr to △p′q′r′ using a translation 2 units to the left, which is a rigid motion. d) △pqr is not congruent to △p′q′r′ because there is no sequence of rigid motions that maps △pqr to △p′q′r′ .

ANSWER

The correct answer is option B

EXPLANATION

When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule

That is to say the x-coordinates are negated. Hence y-axis is the mirror line.

Since reflection is a rigid motion, the two triangles are congruent. That means the two triangles PQR and P'Q'R' are equal in all respect.

See graph in attachment.

ok

step-by-step explanation:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: