Presentation is loading. Please wait.

Similar Triangles.

Presentation on theme: "Similar Triangles."— Presentation transcript:

Similar Triangles

Similar figures have the same shape but not necessarily the same size.
When naming similar figures, list the letters of the corresponding vertices in the same order. ∆ABC ~ ∆DEF. Two figures are similar if The measures of their corresponding angles are equal. The ratios of the lengths of the corresponding sides are proportional.

Matching sides of two or more polygons are called corresponding sides, and matching angles are called corresponding angles. 82◦ Corresponding angles D E F Corresponding sides A B C 55◦ 43◦

= = = = G A C H F B Small Large
Determine if the shapes are proportional. Do not rely on a visual G A 4 in C 28 in 16 in 1. Highlight corresponding sides 7 in 10 in H 2. Set up proportions F 40 in 3. Simplify B Small 4 in 10 in 7 in = = Large 40 in 28 in 16 in 1 in 1 in 1 in = = 4 in 4 in 4 in

The traffic light is about 30 feet tall.
City officials want to know the height of a traffic light. Estimate the height of the traffic light. 27.25 15 48.75 h = Write a proportion. 27 15 49 h Use rounded numbers to estimate. h ft 9 5 49 h Simplify. 9h ≈ 245 Solve proportions. 27.25 ft 48.75 ft h ≈ 27 The traffic light is about 30 feet tall.

Assignment

You will need two different colored highlighters
Date ____________ Similar Triangles You will need two different colored highlighters

Similar figures have the __________ shape but not necessarily the same size.
When naming similar figures, list the letters of the corresponding vertices in the _______________________. ∆ABC ~ ∆DEF. Two figures are similar if The measures of their corresponding angles are __________. The ratios of the lengths of the corresponding sides are _________________.

Matching sides of two or more polygons are called corresponding sides, and matching angles are called corresponding angles. 82◦ Corresponding angles D E F Corresponding sides A B C 55◦ 43◦

= = = = G A C H F B Small Large
Determine if the shapes are proportional. Do not rely on a visual G A C 1. H 2. F 3. B Small = = Large = =

City officials want to know the height of a traffic light
City officials want to know the height of a traffic light. Estimate the height of the traffic light. = h ft 27.25 ft 48.75 ft

Download ppt "Similar Triangles."

Similar presentations

Ads by Google