Dilations in the Coordinate Plane Warmup 3

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Answer explanation

To dilate Point B (0,4) by a scale factor of 3, multiply each coordinate by 3: (0*3, 4*3) = (0,12). Thus, the correct answer is (0,12).

Tags

CCSS.8.G.A.3

Dilate Point A by a scale factor of 3:

• (6,4)

• (12,12)

• (4,3)

• (0,12)

Answer explanation

To dilate Point A (4, 4) by a scale factor of 3, multiply each coordinate by 3: (4*3, 4*3) = (12, 12). Thus, the correct answer is (12, 12).

Tags

CCSS.8.G.A.3

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.

• (-6, 1)

• (-3, -2)

• (1, -6)

• (-2, -3)

Answer explanation

To find the image of point C after dilation with a scale factor of 1/2 from center P, apply the formula: (x', y') = (x_P + (x_C - x_P) * scale, y_P + (y_C - y_P) * scale). The correct coordinates are (-6, 1).

Tags

CCSS.8.G.A.3

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

Answer explanation

To find the dilated coordinates, multiply each vertex by the scale factor of 3. For (2,0) -> (6,0), (3,-1) -> (9,-3), and (-2,-5) -> (-6,-15). Thus, the correct answer is (6,0), (9,-3), (-6,-15).

Tags

CCSS.8.G.A.3

Tell whether each transformation is a dilation. Explain.

• No, scale factor isn't the same.

• Yes, scale factor is the same

Answer explanation

The transformation is not a dilation because the scale factors are different. For a transformation to be a dilation, the scale factor must be the same for all dimensions.

Tags

CCSS.8.G.A.3

Tell whether the transformation is a dilation. Explain.

• No, scale factor isn't the same.

• Yes, scale factor is the same.

Answer explanation

Yes, the transformation is a dilation because the scale factor is the same for all dimensions, indicating that the shape is being enlarged or reduced uniformly.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2