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Benchmark 21 I can identify congruency theorems, SSS, SAS, ASA, AAS, and HL in diagrams
Side-Side-Side PostulateIf three sides of a Δ are to three sides of another Δ, then the Δ’s are . A X C B Z Y If AB XY, BC YZ, AC XZ, then ΔABC ΔXYZ
Side-Angle-Side PostulateIf two sides and the included angle of a Δ are to two sides and the included angle of another Δ, then the Δ’s are . A B C X Y Z If AB XY, BC YZ, and <B <Y then ΔABC ΔXYZ
Angle-Side-Angle PostulateIf 2 <‘s and the included side of a Δ are to 2 <‘s and the included side of another Δ, then the Δ’s are . A X C B Z Y If <A <X, <B <Y, AB XY, then ΔABCΔXYZ
Angle-Angle-Side TheoremIf 2 <‘s and a non-included side of a Δ are to 2 <‘s and a non-included side of another Δ, then the Δ’s are . A B C X Y Z If <A <X, <B <Y, and BC YZ then ΔABCΔXYZ
Hypotenuse-Leg TheoremIf hypotenuse and a leg of a Δ are to the hypotenuse and a leg of another Δ, then the Δ’s are . A B C X Y Z If AC XZ, and BC YZ then ΔABC ΔXYZ
What method is used to prove the triangles are congruent?SSS SAS AAS ASA
What method is used to prove the triangles are congruent?SAS AAS AAS SAS
What method is used to prove the triangles are congruent?SAS AAS HL SAS
3.2 More Neutral Theorems Pasch’s Axiom-If a line l intersects Δ PQR at point S such that P-S-Q, then l intersects Crossbar Theorem-If X is a point in.
Proving Triangles Congruent
5.4 Hypotenuse – Leg Congruence Theorem: HL
4-5 Warm Up Lesson Presentation Lesson Quiz
Hypotenuse – Leg Congruence Theorem: HL
CCGPS Analytic Geometry
1 MM1G3c Proving Triangles Congruent (AAS, HL). 2 Postulates AAS If two angles and a non included side of one triangle are congruent to the corresponding.
Proving RightTriangles Congruent Free powerpoints at
8. BC = ED = 4; BC = EC = 3; DC = DC by Reflex so Δ BCD ΔEDC by SSS 9. KJ = LJ; GK = GL; GJ = GJ by Reflex so ΔGJK ΔGJL by SSS 12. YZ = 24, ST = 20,
Section 4-3 Triangle Congruence (ASA, AAS) SPI 32C: determine congruence or similarity between triangles SPI 32M: justify triangle congruence given a diagram.
Similarity & Congruency Dr. Marinas Similarity Has same shape All corresponding pairs of angles are congruent Corresponding pairs of sides are in proportion.
4.4 & 4.5 Proving Triangles Congruent
4-4 & 4-5: Tests for Congruent Triangles
WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)
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