University:
High School
Course:
High School Geometry
Academic year:

2021
Views:

479

Pages:

2
Author:

ronrulez17qs

Vocabulary Terms: Legs: in a right triangle Hypotenuse: in a right triangle Theorem 5.8 Side-Side-Side (SSS) Congruence Theorem If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. If AB = DE, BC = EF, and AC = DF, then △ABC ≅ △DEF Theorem 5.9 Hypotenuse-Leg (HL) Congruence Theorem If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. If AB = DE, AC = DF, and m∠C = m∠F = 90°, then △ABC ≅ △DEF Extra Practice In Exercises 1-4, decide whether the congruence statement is true. Explain your reasoning. △ABC ≅ △EDC △KGH ≅ △HJK △UVW ≅ △XYZ △RST ≅ △RPQ Problem 6: Given: B is the midpoint of CD, AB ≅ EB, and ∠C and ∠D are right angles. Prove: △ABC ≅ △EBD Statements: B is the midpoint of CD CB ≅ BD AB ≅ EB ∠C is a right angle △ABC is a right triangle ∠D is a right angle △EBD is a right triangle △ABC ≅ △EBD Reasons: Given Definition of midpoint Given Given Definition of right triangle Given Definition of right triangle By HL Problem 7: Given: All sides are ≅ Prove: △EFG ≅ △HIJ Statements: All sides are ≅ EF = FK + KE HI = IK + HK HI = FK + KE HI ≅ EF HJ ≅ EG FG ≅ IJ △EFG ≅ △HIJ Reasons: Given Segment Addition Segment Addition Substitution (since all sides are ≅) Substitution Substitution Substitution By SSS