5.2 Congruent Polygons and 5.3 SAS Congruence

5.2 Congruent Polygons and 5.3 SAS Congruence

by Mary Lett

​Objective and Standards

• ​Students will be able to identify congruent polygons, name corresponding parts, and prove triangles are congruent using SAS.

• ​HSG-CO.B.7, HSG-CO.B.8, HSG-MG.A.1

​Corresponding Parts of Congruent Polygons

Multiple Choice

If ΔABC ≅ ΔXYZ, which statement is always true?

• AB = YZ
• ∠C ≅ ∠Z
• ∠B ≅ ∠C
• AC = XY

Multiple Choice

If ΔABC ≅ ΔXYZ, which statement is always true?

• XY = AB
• ∠A ≅ ∠Z
• ∠B ≅ ∠A
• AC = YZ

Multiple Choice

If ΔABC ≅ ΔXYZ, which statement is always true?

• BC = AZ
• ∠C ≅ ∠Y

• ∠B ≅ ∠A
• AC = XZ

Multiple Choice

If ΔDEF ≅ ΔRST, then we can conclude that DE = what?

• ST
• RS
• DF
• RT

Multiple Select

Using the figure and the congruence statement: Triangle ABC is congruent to Triangle XYZ, select the correct angle measures.

• m<A = 63

• m<A = 80

• m<B = 37

• m<B = 63

• m<B = 80

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Triangle PQR is congruent to Triangle STU. Use this congruence statement and the figure to find the m<U.

• 27

• 36

• 107

• 117

• Not enough information

Fill in the Blanks

Multiple Choice

• ML≌MN and ∠LMP≌∠NMP
• ML≌MP and ∠LMP≌∠NMP
• ML≌MN and ∠LMP≌∠MNP
• MP≌MN and ∠PML≌∠PNM

Multiple Choice

• FG≌JK
• ∠FGH≌∠JKH
• ∠GFH≌∠KJH
• ∠GHF≌∠KHJ

Multiple Choice

• MP≌MP by the Reflexive Property

• LP≌NP by the Reflexive Property
• MP≌PM by the Symmetric Property
• LP≌NP by the Symmetric Property

Multiple Choice

• Vertical Angles
• Symmetric Property
• Reflexive Property
• Transitive Property

Multiple Choice

• Reflexive Property
• Symmetric Property
• Transitive Property
• You probably should learn this property!