Match the definition with the correct word.If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.Answer 1 Question 56If all three pairs of sides of corresponding triangles are in proportion, the triangles are similarAnswer 2 Question 56Two pairs of proportional sides and a pair of equal included angles determine similar triangles.Answer 3 Question 56

If two triangles are congruent, what do we know about their corresponding sides and angles?

Name the triangle congruence test described by each statement.a Two consecutive angles and a side length are equal.b Corresponding side lengths are equal.c Two pairs of corresponding angles and an included side are equal.d Have right angles and equal length of hypotenuse and another side.e Two corresponding sides and included angles are equal.

Introductory Activity for congruency of trianglesDear Students, This vacation you will discover all about congruency by yourself!Two triangles are said to be congruent when the 3 sides and 3 angles of one triangle isexactly equal to the 3 sides and 3 angles of another triangle.If you observe the above triangles, the 3 sides and 3 angles of △ABC is exactly equal to 3sides and 3 angles of △DFE. This means △ABC is congruent to △DFE.We write it as △ABC ≅ △DFEACTIVITYAim:It is sufficient if I can show that the 3 sides of one triangle is equal 3 sides of anothertriangle.The 3 angles of both the triangles become automatically equal.The two triangles are congruent.Procedure:Have students cut straws into the following lengths:2 straws 8 centimeters in length2 straws 11 centimeters in length2 straws 5 centimeters in length

Two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other triangle.A.TrueB.FalseSUBMITarrow_backPREVIOUS

If two triangles are congruent, which of the following statements must be true? Check all that apply.A.The triangles have the same size, but not the same shape.B.The corresponding sides of the triangles are congruent.C.The corresponding angles of the triangles are congruent.D.The triangles have the same size and shape.