IM Geo.2.11 Practice: Side-Side-Angle (Sometimes) Congruence
Which of the following criteria always proves triangles congruent? Select all that apply.
Here are some measurements for triangle and triangle :
Lin thinks these triangles must be congruent. Priya says she knows they might not be congruent. Construct 2 triangles with the given measurements that aren't congruent.Explain why triangles with 3 congruent parts aren't necessarily congruent.
Jada states that diagonal WY bisects angles ZWX and ZYX.
Is she correct? Explain your reasoning.
Select all true statements based on the diagram.
WXYZ is a kite. Angle WXY has a measure of 94 degrees and angle ZWX has a measure of 112 degrees.
Find the measure of angle .
Andre is thinking through a proof using a reflection to show that a triangle is isosceles given that its base angles are congruent.
Complete the missing information for his proof.
Construct such that is the perpendicular bisector of segment . We know angle is congruent to 
. is congruent to 
since is the perpendicular bisector of . Angle 
is congruent to angle 
because they are both right angles. Triangle is congruent to triangle 
because of the 
Triangle Congruence Theorem. is congruent to 
because they are corresponding parts of congruent triangles. Therefore, triangle is an isosceles triangle.
The triangles are congruent.
