Proofs with SAS

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

• False

• True

The definition of an included angle is

• an angle formed by two sides of a triangle

• an angle that is acute

• an angle formed by two consecutive adjacent sides of a triangle

• a right angle

• ML≌MN and ∠LMP≌∠NMP

• ML≌MP and ∠LMP≌∠NMP

• ML≌MN and ∠LMP≌∠MNP

• MP≌MN and ∠PML≌∠PNM

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

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

• Alternate Interior Angles
• Third Angle Theorem
• Vertical Angles
• They both have an "H"

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

• AB≌BD
• AB≌CD
• BD≌CD
• ∠A≌∠C

• ∠A≌∠C
• ∠B≌∠D
• ∠BAD≌∠DCB
• ∠ADB≌∠CBD

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