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docker41 [41]
3 years ago
9

Geometry! Please help. See image. BRAINLIEST!

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

B. r_{x-axis}(x,y) \circ R_0,90\degree)

Step-by-step explanation:

The vertices of triangle ABC have coordinates A(5,2) B(2,4) and C(2,1).

The mapping for reflection in the x-axis is

(x,y)\to (x,-y)

When we reflect triangle ABC in the x-axis, we obtain

A1(5,-2) B1(2,-4) and C1(2,-1).

The mapping for 90 degrees clockwise rotation about the origin is

(x,y)\to (y,-x)

When we rotate the resulting triangle through 90 degrees clockwise above the origin, we obtain;

A2(-2,-5) B2(-4,-2) and C2(-1,-2).

The vertices of triangle A''B''C'' also have coordinates A''(-2,-5) B''(-4,-2) and C''(-1,-2).

Hence the rule that describes the composition of transformation that maps ABC to A''B''C'' is

R_0,90\degree \circ r_{x-axis}(x,y)

The correct choice is B.

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