Question

Triangle ABC is transformed to obtain triangle A′B′C′:

A coordinate grid is labeled from negative 12 to 0 to 12 on both x- and y-axes at increments of 1. Triangle ABC has A at ordered pair 2, 2, B at 2, 10, C at 8, 12. Triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 1,B prime at negative 1, negative 5, C prime at negative 4, negative 6.

Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees

Answer 1

Answer:

Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

All the coordinates of A'B'C' are -1/2 times those of ABC. The dilation factor is 1/2, and rotation by 180° is indicated.

A'(-1, -1) = (-1/2) × A(2, 2)

B'(-1, -5) = (-1/2) × B(2, 10)

C'(-4, -6) = (-1/2) × C(8, 12)

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Rotation by 180° negates both coordinates. It is equivalent to reflection across the x-axis and reflection across the y-axis, in either order.

Answer 2

Answer:

its basically B

Step-by-step explanation: