GEOMETRY TEST#2 REVIEW

A.  Make a conjecture about the next item in a given sequence. (page 64, #11-18)

B.  Determine whether a conjecture is true or false. If false, give a counterexample. (page65, #29-36)

C.  Write a compound statement from a conjunction or disjunction expressed in terms of variables and symbols. Then find its truth value. (page 72, #18-29)

D.  Fill in a given truth table. (page 72, #30, 31)

E.  Construct a Venn diagram and answer questions. (page 73, #41-47)

F.  Identify the hypothesis and conclusion of a statement. (page 78, #16-21)

G.  Write a statement in if-then form. (page 78, #22-27)

H.  Given an if-then statement, write its converse, inverse, and contrapositive. Then determine the truth value of each of these and give a counterexample for whatever is false. (page 79, #40-45)

I.  Write a biconditional statement ("if and only if") as 2 if-then statements and give the truth value of the biconditional statement. (page81)

J.  If valid, use the Law of Syllogism to give an "if-then" statement resulting from 2"if-then" statements. (page 85, #20,21)

K.  Use postulates 2.22.7 (page 89-90) to answer truefalse and fillintheblank questions.

L.  Use postulates 2.2-2.7 to determine whether given statements are always, sometimes, or never true. (page 92, #16-27)

M.  Identify the property of equality that represents a given statement. (page 97, #14-23)

N.  Given an "ifthen" statement, set up a proof by stating the "Given:" (the hypothesis), and the "Prove:" (the conclusion).

O.  Fill in the "Reasons" column of a 2column proof. (page 111, #6)

P.  Complete or write up a 2column proof.

1. Algebraic (page 98, #24-30; and worksheet)

2. Segment (page 104, #8,9)

3. Angle (page 111, #6,7; and worksheet)

Q.  Solve angle problems using theorems 2.32.13. (page 111, #3-5)

OUTLINE CONTINUED ON OPPOSITE SIDE à

R.  Use theorems 2.3-2.13 to determine whether given statements are always, sometimes, or never true. (page 113, #27-32)

S.  Graph the image of a figure in the coordinate plane under a given translation (page 473, #15-20)

T.  Draw the image of reflection of a figure across a given line of reflection, including figures in the coordinate plane (page 467-8, #24-26, 29-32)

U.  Draw all lines of symmetry in a geometric figure (page 468, #35-36)