MA.912.G.2.3 Properties of Polygons
Two-Dimensional
MA.912.G.1.1 Line Segments
MA.912.G.1.3 Parallel Line ∠s
MA.912.G.2.2 ∠ s of Polygons
MA.912.G.2.3 Prop of Polygons
MA.912.G.2.4 Transformations
MA.912.G.2.5 Perimeter & Area
MA.912.G.3.3 Prop of Quads
MA.912.G.3.4 Quad Theorems
MA.912.G.4.6 ~ & Triangles
MA.912.G.4.7 Inequality Theo
MA.912.G.5.4 Right Triangles
MA.912.G.6.5 Circle Measures
MA.912.G.6.6 Circle Equations
MA.912.G.8.4 Conjectures
Three-Dimensional
Trig & Discrete Math
In Your Text
Section 7-2; 465-473
Section 7-3; 474-483
Section 7-5; 495-502
What You Need To Know...
Use properties of congruent and similar polygons.
- Items may include convex, concave, regular and irregular polygons.
- Items may include right, acute, obtuse, scalene, isosceles, equilateral and equiangular triangles.
- Items may include altitudes, medians, angle bisectors, perpendicular bisectors, orthocenter, centroid, incenter, and circumcenter.
- Items may include properties of congruent and similar triangles to find lengths and areas.
- Items may include the application of theorems involving segments divided proportionally.
- The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
Example One
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.
- (90, 20)
- (77, 20)
- (50, 20)
- (47, 20)
Example Two
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?
Additional Examples
