Scale Factors and Geometric Properties
Explore various geometric scenarios involving scale factors, angles, dimensions, and perimeters of shapes like triangles, rectangles, and quadrilaterals, illustrated through images and mathematical explanations.
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Presentation Transcript
What is the scale factor between triangle ABC and its copy triangle DEF? Name the angle in the scaled copy that corresponds to angle ABC 3 Angle QPS 2/3 3/2 Angle QRS Angle PQR
Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle A. Select the measurement pair that could be the dimensions of Rectangle B. Quadrilateral ABCD is a scaled copy of Quadrilateral EFGH. Pick the correct statement below. Segment CD is half the length of segment GH The length of segment AB is 4 units 10 inches by 2.5 inches Segment BC is half the length of segment EF 7 inches by 1 inch 9 inches by 3 inches
The scale of a map says that 8 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 8 kilometers? What is the scale factor that takes Figure 2 to Figure 1? 12.8 cm 3 4 1/3 1.6 cm 3.125 cm
Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. What is the perimeter of Quadrilateral B? Triangle Z is a scaled copy of Triangle M. Select the set of values that could be the side lengths of Triangle Z. 6, 9, 11 10, 17.5, 25 12 8, 11, 14 18 36
Figures R, S, and T are all scaled copies of one another. If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q? Figure S is a scaled copy of R using a scale factor of 3. Figure T is a scaled copy of S using a scale factor of 2. What is the scale factors from T to S? 2 6 186 1/2 62 20 2/3
