U2L9: Side-Side-Side Triangle Congruence

In kite WXYZ, WX is congruent to ​ (a)   and YX is congruent to ​ (b)   . WY is congruent to WY since segments are congruent to ​ (c)   . Triangle WYZ is congruent to triangle WYX by the ​ (d)   Triangle Congruence Theorem; thus, at least one diagonal of the kite decomposes the kite into two congruent triangles.

• WZ
• YZ
• themselves
• Side-Side-Side

• corresponding
• XWY
• XYW
• angle bisector

WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZWX has a measure of 60 degrees. Find the measure of angle ZYW.

• 15 degrees

• 27 degrees

• 17 degrees

• 43 degrees

• same segment
• 90
• Alternate Interior Angles
• ADB
• CDB

Triangles ACD and BCD are isosceles. Angle DBC has a measure of 84 degrees and angle BDA has a measure of 24 degrees. Find the measure of angle BAC.

• 12 degrees
• 30 degrees
• 18 degrees
• 45 degrees

Reflect right triangle ABC across line AB. Classify triangle CAC′ according to its side lengths. Explain how you know.

Triangle CAC′ must be ​ (a)   . Since a reflection preserves distance, side AC is ​ (b)   to side AC′. Since at least ​ (c)   sides are congruent, triangle CAC′ is isosceles.

• isosceles
• congruent
• two