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Section 4.2 Congruence and Triangles
Two figures are congruent if they have exactly the same size and shape.
Congruent Triangles Triangles that have Corresponding angles congruent and corresponding sides congruent
Same position Corresponding Sides
Corresponding Angles Same position
Third Angle Theorem If two angles of one triangle are to two angles of a second triangle, then the third pair of angles have to be congruent.
A B C D E F Ex 1: Write a congruence statement for the triangles. List all congruent sides and angles
Ex 2: Solve for x and y. G L M E P F H N 72 o 87 o 110 o 8m 10m (2x – 3)m (7y+9) o
Ex 3: Solve for x. T L M S R N 65 o 55 o (2x +30) o
Ex 4: Are these two triangles congruent? Explain. P Q M N R 92 o Sides: Angles: (given) (vertical angles) (3 rd angles thm) Yes, they are congruent because all sides and angles are congruent
Guided Practice p. 205 #1-9 Find a partner for Think, pair, share!!!
Bellringer Find the area and perimeter of the figure. 10m 6m.
4-4 Using Congruent Triangles: CPCTC
3-1: Congruent Figures Honors Geometry.
I can identify corresponding angles and corresponding sides in triangles and prove that triangles are congruent based on CPCTC.
4.1: CONGRUENT FIGURES Objectives: To recognize congruent figures and their corresponding parts.
SWBAT: Recognize Congruent Figures and Their Corresponding Parts
4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.
L.E.Q. How do you identify congruent figures and their corresponding parts?
Section 4-1 Congruent Figures Objectives: recognize congruent figures and their corresponding parts.
Congruent Triangles. Congruent figures- ◦ They have exactly the same shape. ◦ All parts of one figure are congruent to the corresponding parts of the.
4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.
2.11 – SSS, SAS, SSA.
ADVANCED GEOMETRY 3.1/2 What are Congruent Figures? / Three ways to prove Triangles Congruent. Learner Objective: I will identify the corresponding congruent.
1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the.
Notes Over Congruence When two polygons are ___________their corresponding parts have the _____ _______. congruent same measure 1. Name the corresponding.
CHAPTER 3 REVIEW CPM GEOMETRY 2 ND AND 5 TH PERIOD.
DO NOW!!! Solve for “x”..
Congruent Polygons Sec 6.5 GOALS: To identify congruent polygons.
Objective: After studying this section, you will be able to apply the no-choice theorem and the AAS theorem.
Congruent Triangles Congruency statements and why triangles are congruent.
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