Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
History of geometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Technical drawing wikipedia , lookup
Apollonian network wikipedia , lookup
Trigonometric functions wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Euclidean geometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles. Review Congruent Triangles Triangles whose sides and angles are congruent. Tests for congruence SSS SAS ASA AAS New – Tests for similarity AA Similarity If two angles of one triangle are congruent to two corresponding angles of another triangle, then the triangles are similar. SSS similarity If the measures of the sides of a triangle are proportional to the measures of the corresponding sides of another triangle, then the triangles are similar. SAS Similarity If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and their included angles are congruent, then the triangles are similar. Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement. 6 10 14 9 15 21 JMP SSS similarity Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement. Not similar since SSS, SAS, or AA similarity tests prove true. Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement. Not similar since sides are not proportional. Find the value of x. x 9 5 3 3x 45 x 15 Find the values of x & y 12 5 x 15 180 5x 36 x 13 5 y 15 195 5 y 39 y shadow 0.4 2 shadow object 1.5 x object 0.4x 3 x 7.5 Flag pole is 7.5 meters tall. Homework Pg. 365 1 – 5 all, 6 – 22 E