UNIT 7: CONGRUENT TRIANGLES, AND THEOREMS Final Exam Review
TOPICS TO INCLUDE Corresponding Sides and Angles Congruent Triangles Triangle Sum Theorem Midsegment of a Triangle Theorem
CORRESPONDING SIDES AND ANGLES
You Try: ∆ANT ≅ ∆BUG
CONGRUENT TRIANGLES There are 5 postulates that can prove that 2 triangles are congruent SSS SAS ASA AAS HL
CONGRUENT TRIANGLES SSS (Side Side Side) All 3 SIDES are congruent to each other SAS (Side Angle Side) 2 SIDES and the INCLUDED angle are congruent to each other
CONGRUENT TRIANGLES ASA (Angle Side Angle) 2 ANGLES and the INCLUDED side are congruent to each other AAS (Angle Angle Side) 2 ANGLES and the NON-INCLUDED side are congruent to each other
CONGRUENT TRIANGLES HL (Hypotenuse leg) There must be a RIGHT angle 2 sides must be marked The HYPOTENUSE 1 other LEG
CONGRUENT TRIANGLES Determine how the triangles are congruent
TRIANGLE SUM THEOREM The Triangle Sum Theorem states that the THREE angles in a triangle ALWAYS add up to 180° Example: X = X = 180 X = 55° X
TRIANGLE SUM THEOREM Now you try:
MIDSEGMENT OF A TRIANGLE THEOREM The Midsegment of a Triangle Theorem states that the misdsegment of a triangle is equal to HALF of the THIRD side BEFORE setting up an equation, MULTIPLY the midsegment by 2 and then solve. Example: 2(5X – 1) = 58 10X – 2 = 58 10X = 60 X = 6
MIDSEGMENT OF A TRIANGLE THEOREM Now you try:
ALL DONE