Question

Two similar triangles are shown on the coordinate grid:

A coordinate plane is shown. Triangle XYZ has vertices X at negative 5 comma negative 1, Y at negative 6 comma negative 2, and Z at negative 3 comma negative 2. Triangle X double-prime Y double-prime Z double-prime has vertices X double-prime at 10 comma negative 2, Y double-prime at 12 comma negative 4, and Z double-prime at 6 comma negative 4.
Which set of transformations has been performed on triangle XYZ to form triangle X′′Y′′Z′′? (4 points)


Dilation by a scale factor of 4 followed by reflection about the x-axis

Dilation by a scale factor of 2 followed by reflection about the y-axis

Dilation by a scale factor of 4 followed by reflection about the y-axis

Dilation by a scale factor of 2 followed by reflection about the x-axis

Answer 1

Triangle PQR is transformed to similar triangle P′Q′R′:

A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1.
What is the scale factor of dilation? (4 points)


1 over 2

1 over 3

1 over 4

1 over 5