By Lorenza Luster and Helen Benyard Luster
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Additional resources for Amsco's Virginia: Preparing for the SOL Geometry Test
PRACTICE 7 Objective: G If Ruth cannot go, then Sharon can go. H If Ruth can go, then Sharon cannot go. J If Sharon cannot go, then Ruth cannot go. 9. Which is the biconditional of the statement, “If two angles have the same measure, then they are congruent”? A Two angles do not have the same measure if and only if they are not congruent. B Two angles have the same measure if and only if they are congruent. C If two angles are congruent, then they have the same measure. D If two angles are not congruent, then they do not have the same measure.
B AB is parallel to CD. C AC is parallel to BD. D AD is parallel to BC. 24. What is the measure of Є4? 25. 23° Given the figure below, what is the value of x that makes line a parallel to line b? 1a ❐ The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include identifying the converse, inverse, and contrapositive of a conditional statement. The Conditional A conditional statement, also called an if-then statement, consists of two parts; the hypothesis (or antecedent), which is usually located after the word if, and the conclusion (or consequent), which is located after the word then.
For each statement, write the converse. ” 2. For each statement, write the contrapositive. ” 3. For each statement, write the inverse. ” 4. Write the inverse of the statement, “If a ϭ b, then a2 ϭ b2,” and determine the truth value of the inverse. Given the sentence, “If two lines are cut by a transversal and consecutive interior angles are supplementary, then the two lines are parallel,” determine the truth value of its contrapositive. For each statement, write the converse and biconditional, and determine the truth value of the converse and biconditional.
Amsco's Virginia: Preparing for the SOL Geometry Test by Lorenza Luster and Helen Benyard Luster