HW: proofs! study!

So, how did you study for this test?

Do you have a list of vocabulary with their definitions in your notes or on flashcards?

Did you pick a theorem or corollary and try to prove it?

Have you memorized all the definitions and theorems in this chapter?

Today you will have an opportunity to study for this test. You should continue to study throughout the weekend.

Practice Test

(use another sheet of paper, then correct your answers by using the text)

1) Pick two statements below and prove each.

a) The Angle Sum Theorem: The sum of the measures of the angles of a triangle is 180.

b) The Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

c) Corollary: The acute angles of a right triangle are complementary.

d) Congruence of triangles is reflexive, symmetric, and transitive.

e) AAS Theorem: If two angles and the nonincluded side of one triangle are congruent to the corresponding two angles and the nonincluded side of second triangle, then the triangles are congruent.

f) The Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

g) The Converse of the Isosceles Triangle Theorem: If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

h) Corollary: A triangle is equilateral if and only if it is equiangular.

i) Corollary: Each angle in an equilateral triangle measures 60°.

2) Pick 5 terms below and define each.

a) acute triangle

b) auxiliary line

c) congruent triangles

d) corollary

e) equiangular triangle

f) equilateral triangle

g) exterior angle (of a triangle)

h) isosceles triangle

i) legs (of an isosceles triangle)

j) obtuse triangle

k) right triangle

l) scalene triangle

m) triangle

3) Do: pg231 #42-45 (always draw and label the diagram, write the given and prove statements, and then construct a 2-column