Scale Factor and Dilations Worksheets Grade 10

1. A triangle is drawn on a coordinate plane with vertices at A(-5, 3), B(7, 3), and C(-5, 9). Aroha dilates this triangle from the origin using a scale factor of 1/3. What are the coordinates of the dilated triangle's vertices? Express your answer as three ordered pairs: A', B', C'.
2. A kite is drawn on a coordinate plane with vertices at A(-8, 0), B(0, 6), C(8, 0), and D(0, -2). Mere dilates this kite from the origin using a scale factor of 1/4. What are the coordinates of the dilated kite's vertices? Express your answer as four ordered pairs: A', B', C', D'.
3. A right triangle is drawn on a coordinate plane with vertices at A(0,0), B(6,0), and C(0,8). The triangle is dilated from the point (2,1) with a scale factor of 3. What are the coordinates of the dilated triangle's vertices? Express your answer as three ordered pairs: A', B', C'.

…and 4 more problems

1. A rectangular garden has dimensions 12 feet by 18 feet. If the garden undergoes a dilation with scale factor k, and the area of the dilated garden is 864 square feet, what is the value of k?
2. Dilate point (11, 13) by scale factor 3 from center (3, 5). Find the new coordinates.
3. Emma dilates point (7, 11) by scale factor 3 from the origin. Find the new coordinates.

…and 5 more problems

1. Sophia dilates point (6, 11) by scale factor 1/2 from center (1, 1). Find the new coordinates.
2. Dilate point (8, 11) by scale factor 4 from the origin
3. Liam is an urban planner designing a new public plaza. On his initial blueprint, the plaza is represented by a triangle with vertices at A(3, 1), B(7, 9), and C(13, 5). To create a smaller, detailed inset map of the plaza for a walking tour brochure, he applies a dilation centered at the origin with a scale factor of 3/5. What are the coordinates of vertex A' after this dilation?

…and 5 more problems