Decide whether these conditions can be used to show two triangles are congruent:a Three congruent sidesb Three congruent anglesc Two congruent sides and a non-included angled Two congruent legs of a right triangle

If any two sides and any angle are congruent in two triangles, then the triangles must be congruent.A.TrueB.False

In the congruence postulates (SSS, SAS, ASA, and AAS), three corresponding parts of two triangles are tested to determine if the triangles are congruent. These parts can include sides and angles. However, in the hypotenuse-leg (HL) theorem, only the hypotenuse and one leg of a right triangle are considered to determine congruence with another right triangle.Question 27Select one:TrueFalse

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.

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

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?The measure of angles K𝐾 and Y𝑌eliminateThe side lengths of KL𝐾𝐿 and YZ𝑌𝑍eliminateThe measure of angle Z𝑍eliminateNo additional information is necessary.