An Experiment.

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Presentation transcript:

An Experiment

An Experiment

An Experiment

An Experiment

An Experiment

Similar and Congruent Polygons

Vocabulary Polygons are similar if they have the same shape but not necessarily the same size. A D 10 ft 6 ft 3 ft 5 ft C E F B 4 ft 8 ft

Vocabulary Polygons are similar if they have the same shape but not necessarily the same size. ABC  DEF A D 10 ft 6 ft 3 ft 5 ft C E F B 4 ft 8 ft

Vocabulary Polygons are similar if they have the same shape but not necessarily the same size. Angles: Corresponding angles are congruent. A D 10 ft 6 ft 3 ft 5 ft C E F B 4 ft 8 ft

Vocabulary Polygons are similar if they have the same shape but not necessarily the same size. Sides: Ratios of lengths of corresponding sides are equal. Side1 Side 2 A D 10 ft 6 ft 3 ft 5 ft C E F B 4 ft 8 ft

Similar Polygons Are they similar? 21 m 27 m 9 m 11 m 33 m 7 m

Are they similar? 8 m E F 6 m A B 14 m 6 m 6 m 14 m D C 6 m H G 8 m

Vocabulary Congruent Polygons are similar polygons that have the same shape and the same size. L E F O N H G M

Vocabulary Congruent Polygons are similar polygons that have the same shape and the same size. Corresponding angles are congruent L E F O 60° N 120° H G M

Vocabulary Congruent Polygons are similar polygons that have the same shape and the same size. Corresponding sides are congruent L 13 ft E F O 11 ft N H G M

RST  XYZ

FGH  JKL

ABCD  EFGH B E H ? ? C 135° ? G ? 75° 60° A D F

ABCD  EFGH Name the corresponding sides and corresponding angles. B E ? ? C 135° ? G ? 75° 60° A D F

ABCD  EFGH Find the unknown angle measures. B E H ? ? C 135° ? G ? 75° 60° A D F

Finding the Ratio of Lengths Given ABC  DEF, find the ratio of the lengths of the corresponding sides. B E 20 cm 15 cm 12 cm 16 cm D F 21 cm A C 28 cm

Finding the Ratio of Lengths Given ABC  DEF, find the ratio of the lengths of the corresponding sides. 12 cm A B B 10 cm 9 cm 6 cm 15 cm A C 8 cm C

Checking for Similarity A rectangular painting has a length of 48 inches and a width of 36 inches. A rectangular print of the painting has a length of 32 inches and a width of 24 inches. Are the original and the print similar figures?

Checking for Similarity A rectangular painting has a length of 48 inches and a width of 36 inches. A rectangular print of the painting has a length of 32 inches and a width of 24 inches. Are the original and the print similar figures?

Checking for Similarity A rectangular painting has a length of 48 inches and a width of 36 inches. A rectangular print of the painting has a length of 32 inches and a width of 24 inches. Are the original and the print similar figures?

Homework Assignment Workbook pp. 135-135 1-8 all Review Concepts WS (due Wednesday) Complete Kite Design