Scaling Area and Solids Task Assessment
Geometry Standards
- HSG-GMD: Explain volume formulas and use them to solve problems
- HSN-Q.A: Reason quantitatively and use them to solve problems
1. A circle with an area of 8 square centimeters is dilated so that its image has an area of 32 square centimeters. Choose the answer to what is the scale factor of the dilation and show your calculations. a. 2 b. 4 c. 8 d. 16
2. A trapezoid has an area of 100 square units. What is the scale factor of the dilation with an area of 6400 square units for the dilated trapezoid? Show your calculations.
3. A solid with volume 8 cubic units is dilated by a scale factor of k to obtain a solid with volume V cubic units. Find the value of k which results in an image with each given volume below. a. 216 cubic units
b. 1 cubic unit
c. 1,000 cubic units