In triangles JKL𝐽𝐾𝐿 and XYZ𝑋𝑌𝑍, angles J𝐽 and X𝑋 each have measure 59°59° and side lengths JK𝐽𝐾 and XY𝑋𝑌 each have measure 12 inches. Which additional piece of information is sufficient to determine whether triangle JKL𝐽𝐾𝐿 is congruent to triangle XYZ𝑋𝑌𝑍?

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

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

In ∆ABC : AB = 4.8 cm, ∠ A = 90°, AC = 6.8 cm        and in ∆XYZ : XY = 4.8 cm, ∠ X = 90° , ZX = 6.8 cm. Are the two triangles congruent by RHS congruence rule?

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.

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.