MA.912.G.2.3 Properties of Polygons

Use properties of congruent and similar polygons.

1. Items may include convex, concave, regular and irregular polygons.
2. Items may include right, acute, obtuse, scalene, isosceles, equilateral and equiangular triangles.
3. Items may include altitudes, medians, angle bisectors, perpendicular bisectors, orthocenter, centroid, incenter, and circumcenter.
4. Items may include properties of congruent and similar triangles to find lengths and areas.
5. Items may include the application of theorems involving segments divided proportionally.
6. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.

The owners of a water park want to build a scaled-down version of a popular tubular water slide for the children's section of the park.  The side view of the water slide, labeled ABC, is shown below.

Points A', B' and C', shown above, are the corresponding points of the scaled-down slide.  Which of the following would be closest to the coordinates of a new point C' that will make slide A'B'C'  similar to slide ABC.

1. (90, 20)
2. (77, 20)
3. (50, 20)
4. (47, 20)

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Malik runs on the trails in the park.  He normally runs 1 complete lap around trail ABCD.  The length of each side of trail ABCD is shown in meters (m) in the diagram below.

If trail EFGH is similar in shape to trail ABCD, what is the minimum distance, to the nearest whole meter, Malik would have to run to complete one lap around trail EFGH?

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