Lesson: Similar Triangles
 Congruent triangles Congruent triangles are triangles that have the same size and shape.Congruent triangles are triangles that have the same size and shape.Congruent trianglesSimilar triangles are triangles that have the same size and shape.Congruent trianglesSimilar triangles are triangles that have the same size and shape.Congruent trianglesSimilar triangleshave the same shape but different sizes. Congruent?Similar? How do we know when triangles are similar? How do we know when triangles are similar?25412.52 How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.52 How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.52These are congruent How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.52These are congruent How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.52These are congruent Their corresponding sides have to be proportional.How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.52 Their corresponding sides have to be proportional.How do we know when triangles are similar?Their corresponding angles have to be congruent.(Proportional means they have to divide to thesame thing.)25412.52 Their corresponding sides have to be proportional.How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.524 ÷ 2 = 2 Their corresponding sides have to be proportional.How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.524 ÷ 2 = 22 ÷ 1 = 2 Their corresponding sides have to be proportional.How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.524 ÷ 2 = 22 ÷ 1 = 25 ÷ 2.5 = 2 Their corresponding sides have to be proportional.How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.524 ÷ 2 = 22 ÷ 1 = 25 ÷ 2.5 = 2 Their corresponding sides have to be proportional.How do we know when triangles are similar?Their corresponding angles have to be congruent.25412.524 ÷ 2 = 22 ÷ 1 = 25 ÷ 2.5 = 2All the same For shapes to be similartheir corresponding angles must betheir corresponding sides must beproportional?congruent? We can use similarity We can use similarityto find unknown sides We can use similarityto find unknown sides25x10 We can use similarityto find unknown sides25x10corresponding sidesThese are We can use similarityto find unknown sides25x10corresponding sidesThese are We can use similarityto find unknown sides25x102x=105 We can use similarityto find unknown sides25x10Solve2x=105 We can use similarityto find unknown sides25x10Solve2x5x = 20=105 We can use similarityto find unknown sides25x10Solve2x5x = 20x = 4=105 xx =5810 There are three ways to prove trangles similar There are three ways to prove trangles similarAA There are three ways to prove trangles similarsAsAA There are three ways to prove trangles similarsAssssAA For AA you have to have two sets of angles congruent For AA you have to have two sets of angles congruentThese are congruent For AA you have to have two sets of angles congruentThese are congruentand these are too For sAs one set of angles needs to be congruent10653 For sAs one set of angles needs to be congruentThese are congruent10653 For sAs one set of angles needs to be congruentand the sides making up that angle must10653proportional For sAs one set of angles needs to be congruentand the sides making up that angle must1065310∕5 = 2proportional For sAs one set of angles needs to be congruentand the sides making up that angle must1065310∕5 = 26/3 = 2proportional For sAs one set of angles needs to be congruentand the sides making up that angle must1065310∕5 = 26/3 = 2proportional sAsAASide Angle Side?Angle Angle? For sss all the side need to be proportional For sss all the side need to be proportional1048524 For sss all the side need to be proportional104852410/5 = 2 For sss all the side need to be proportional104852410/5 = 28/4 = 2 For sss all the side need to be proportional104852410/5 = 28/4 = 24/2 = 2 93sss?46131sAs?2AA?123
Students who took this test also took :

Created with That Quiz — a math test site for students of all grade levels.