Which of the following pairs of angles must be congruent? a∠4 and ∠5 b∠4 and ∠3 c∠1 and ∠8 d∠3 and ∠6

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.

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

hich of these angle pairs are congruent because they are corresponding angles?A.2 and 5B.2 and 3C.2 and 4D.2 and 6

Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.ml12345678(a) Vertical angles: ∠and∠(b) Supplementary angles: ∠and∠

In △𝐴𝐵𝐶, 𝐴𝐵=6𝑐𝑚, 𝐴𝐶=12𝑐𝑚, 𝑚∠𝐴=60∘ and  𝐴𝐶― is the longest side. Which of the following statements about the measures of the angles in △𝐴𝐵𝐶 must be true? (Note: 𝑚∠𝑋 denotes the measure of angle X.)