Lesson 6-2 Similar Polygons

Ohio Content Standards:

Ohio Content Standards: Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions.

Ohio Content Standards: Demonstrate fluency in computations using real numbers.

Ohio Content Standards: Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions.

Ohio Content Standards: Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates.

Ohio Content Standards: Apply proportional reasoning to solve problems involving indirect measurements or rates.

Ohio Content Standards: Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence.

Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

Ohio Content Standards: Use proportions in several forms to solve problems involving similar figures (part-to-part, part-to-whole, corresponding sides between figures).

Similar Polygons

When polygons have the same shape but may be different in size. Similar Polygons When polygons have the same shape but may be different in size.

Similar Polygons Two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional.

Similar Polygons ~ is read is similar to

Determine whether each pair of figures is similar. Justify your answer.

Determine whether each pair of figures is similar. Justify your answer. K R Q 40° 50° L M P

Determine whether each pair of figures is similar. Justify your answer. B 5.25 3.9 80° 80° 7 5.2 40 40° T R 60° A C

An architect prepared a 12-inch model of a skyscraper to look like a real 1100-foot building. What is the scale factor of the model compared to the real building?

Two polygons are similar. 4 B R T 6 3 A C V y + 1 U x E 8 D

Two polygons are similar. 4 B R T 6 3 A C V y + 1 U x E 8 D Write a similarity statement. Then find x, y, and UV.

Two polygons are similar. 4 B R T 6 3 A C V y + 1 U x E 8 D Find the scale factor of Polygon ABCDE to polygon RSTUV.

Rectangle WXYZ is similar to rectangle PQRS with a scale factor of 1.5. If the length and width of PQRS are 10 meters and 4 meters, respectively, what are the length and width of rectangle WXYZ?

The scale on the map of New Mexico is 1 centimeter = 80 miles The scale on the map of New Mexico is 1 centimeter = 80 miles. The distance on the map across New Mexico from east to west through Albuquerque is 4.1 centimeters. How long would it take to drive across New Mexico if you drove at an average of 70 miles per hour?

Assignment: Pgs. 293-295 11-15 all, 17-23 all, 34-44 all