IM Geo.2.6 Practice: Side-Angle-Side Triangle Congruence
Triangle DAC is isosceles with congruent sides AD and AC.
Which additional given information is sufficient for showing that triangle is isosceles? Select all that apply.
Tyler has written an incorrect proof to show that quadrilateral ABCD is a parallelogram.
He knows segments and are congruent. He also knows angles and are congruent. Find the mistake in his proof. Segment is congruent to itself, so triangle is congruent to triangle by Side-Angle-Side Triangle Congruence Theorem. Since the triangles are congruent, so are the corresponding parts, and so angle is congruent to . In quadrilateral , is congruent to and is parallel to . Since is parallel to , alternate interior angles and are congruent. Since alternate interior angles are congruent, must be parallel to . Quadrilateral must be a parallelogram since both pairs of opposite sides are parallel.
Triangles ACD and BCD are isosceles.
Angle has a measure of 18 degrees and angle has a measure of 48 degrees. Find the measure of angle .
Here are some statements about 2 zigzags. Put them in order to prove figure ABC is congruent to figure DEF.
Match each statement using only the information shown in the pairs of congruent triangles.
Triangle ABC is congruent to triangle EDF.
So, Priya knows that there is a sequence of rigid motions that takes to .
Select all true statements after the transformations: