University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

67

Pages:

2
Author:

Jonathon Barber

In your own words, write the meaning of each vocabulary term. legs: in a right triangle hypotenuse: longest side 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 Yes (it's true) by SSS △KGH ≅ △HJK Yes Reflexive Symmetric HK ≅ KH so Yes by SSS △UVW ≅ △XYZ No. The statement does not match the diagram. Check both △RST ≅ △RPQ Yes by SSS or by SAS 6. Given: B is the midpoint of CD AB ≅ EB ∠C and ∠D are right angles. Prove: △ABC ≅ △EBD