Bellringer Lesson 23

The angle between two sides of a triangle is called the _______ angle.

• Included

• Adjacent

• Opposite

• Exterior

Explain the difference between proving triangles congruent using the SAS and SSS Congruence Postulates.

• SAS requires two sides and the included angle, while SSS requires three sides.

• SAS requires three sides, while SSS requires two sides and the included angle.

• SAS requires two angles and the included side, while SSS requires three angles and the included side.

• SAS requires three sides and the right angle, while SSS requires three angles.

Use the diagram to name the included angle between WZ and XW.

• Angle XWY

• Angle W

• Angle ZWY

• Angle XYW

Use the diagram to name the included angle between WY and WZ.

• Angle XWY

• Angle W

• Angle ZWY

• Angle YWZ

Decide whether enough information is given to prove that the triangles are congruent using the SAS Congruence Postulate.

• Yes by SAS

• No, because ZW is not congruent to ZW, ZX is not a perpendicular bisector.

• Cannot be determined

• Yes, because ZW is congruent to ZW, ZX is a perpendicular bisector., and WX=XY

Which of the following sets of information does not allow you to conclude that the triangles ABC, and DEF are congruent?

• A

• B

• C

• D

Use the given information to prove that triangles ABC and CDB are congruent. Explain your reasoning.

Triangles ABD and DCB are right triangles​ (a)   AB, BC CD and DA​ (b)   AB=AB​ (c)   . So, triangle ABD and CDB are congruent by ​ ​ (d)  

​​

​ ​

• because ABCD is a square
• are congruent because ABCD is a square
• because reflexive property
• HL
• AAA
• Opposite angles are congruent

Tags

CCSS.HSG.SRT.B.5