Triangle C has vertices (2, – 1), (2, 2), and (1, -1). NEED HELP ASAP
Which triangle is similar to triangle C?
0 Triangle X with vertices (-2, 2), (2, 4), and (1,2)
o Triangle Y with vertices (4, 1), (2, 3), and (2, 2)
o Triangle Z with vertices (4, - 2), (4, 4), and (2, - 2)
o Triangle W with vertices (4, – 3), (4, 0), and (2. – 3)

Triangle Z

Explanation:

Required

Similar triangle to triangle C

Similar triangles do not necessarily have the same size. However, they must be in proportion of size and their angles must be equal.

From the list of options given, triangle Z is a dilation of C and this is shown below.

Divide the corresponding coordinates of Z by C to get the scale factor.

For and

Factorize:

For and

Factorize:

Lastly;

Factorize:

Notice that the scale factor is the same all through.

Hence, Z is similar to C

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