Additional Math Problems

Objective 3 Geometry and

spatial Reasoning

2. Triangle ABC has the coordinates A(0,8), B(4,4) and C(–6,2). Find the new coordinates if the triangle is dilated by a scale factor of 2 and the center stays in the same place.

A. A'(0,4), B'(2,2), C'(–3,1)B. A'(0,16), B'(4,8), C'(–6,4)C . A'(0,10), B'(6,6), C'(–4,4)D. A'(0,16), B'(8,8), C'(–12,4)

10. Antonio needs to replace the cord on a flagpole. To figure out how high the flagpole is, he stands next to it on a sunny day. Antonio is 70 inches tall. His shadow is 105 inches long. He measures the shadow of the flagpole to be 480 inches long. How tall is the flagpole?

A. 320 inchesB. 480 inchesC. 582 inchesD. 765 inches

11. Marina is designing a geometric art piece. Her sketch is shown below. It is close, but it is not exactly to scale.

Marina will make all of the rectangles similar, with a scale factor of . The size of her art paper is 9 inches by 15 inches, and the original rectangle is drawn to the edge of the paper. What are the approximate dimensions of the smallest rectangle?

A. 2.14 inches by 3.56 inchesB. 2.85 inches by 4.75 inchesC. 3.38 inches by 5.63 inchesD. 33.75 inches by 56.25 inches

13. What is the length of side c in the right triangle shown below?

A. 8 feetB. 10 feetC. 14 feetD. 100 feet

14. What are the coordinates of point C?

A. (–7, 5)B. (5, 7)C. (–3, 3)D. (–7, –5)