Dilations Problems

4 questions

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#1 of 4: Mild

Dilations

Dilate Point `A` by a scale factor of `3` to create Point `B`.Use the origin as the center of dilation.<selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_skip_interval": 0, "y_skip_interval": 0, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 1, "x": -3, "y": -1, "show_point": true, "label": "A", "highlight": true, "highlight_point_color": "#000000" } ]}'></LineGraph ></selectivedisplay>

#2 of 4: Mild

Dilations

Dilate Point `A ` `(6, ``-3)` by the scale factor `4` to create Point `B`.Use the origin as the center of dilation.What are the coordinates of Point `B`?

#3 of 4: Medium

Dilations

Dilate Point `E` by a scale factor of `0.75` to create Point `F`.Use the origin as the center of dilation.<selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_skip_interval": 0, "y_skip_interval": 0, "show_x_axis_points": true, "show_y_axis_points": true }, "points": [ { "id": 1, "x": -8, "y": 4, "show_point": true, "label": "E", "highlight": true, "highlight_point_color": "#000000" } ]}'></LineGraph ></selectivedisplay>

#4 of 4: Medium

Dilations

Dilate Point `A ` `(10, ``-8)` by the scale factor `0.5` to create Point `B`.Use the origin as the center of dilation.What are the coordinates of Point `B`?

Dilation is a transformation in geometry that involves changing the size of a figure while keeping its shape and orientation the same. In 8th-grade math, students are required to master the skill of dilating figures as per common core math teacher.

To dilate a figure, students must first choose a center of dilation and a scale factor. The center of dilation is the point about which the figure is dilated, and the scale factor determines how much the figure is enlarged or reduced.

Students must then apply the scale factor to each vertex of the figure to find the coor...

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Grade 8

Transformations

8.G.A.3