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Answer Key
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Notebook Section: Homework
Homework #3
4 of the following 15 questions will be randomly picked and scored for accuracy. A paper will receive a
maximum of 70% if all questions were not attempted. You may do all of your work on this paper.
Current Material
6. A TV ad shows a car parked on an isolated
point of land obviously high in the
mountains. What conditional statement
does this ad intend to convey?
1. Write a statement that is logically equivalent
to the statement “If two sides of a triangle
are congruent, the angles opposite those
sides are congruent.” Identify the new
statement as the converse, inverse, or
contrapositive of the original statement.
If you buy this vehicle, then you can travel anywhere.
The angles opposite those sides are not congruent if
the sides are not congruent…. Contrapositive
7. What is the converse of the statement
whose contrapositive is if it is a poodle then
it is a dog?
2. Write the converse, the inverse, and the
contrapositive of the statement "If I run,
then I am tired."
Conditional- If it is not a dog then it is not a poodle.
Converse- If it is not a poodle, then it is not a dog.
Converse- If am I tired then I run, Inverse- If I do not run,
then I am not tired, Contrapositive= If am not tired then I
do not run.
8. Draw a Venn diagram for the statement
some people who watch TV are boys.
3. "If I live in Albany, then I am a New
Yorker." In the spaces provided below,
write the inverse, the converse, and the
contrapositive of this statement.
TV
Boys
9. What is the inverse of the statement whose
converse is If I am not in VA then I am not
in Richmond.
Converse- If I am a NYer, then I live in Albany, Inverse- If I
don’t live in Albany, then I am not a NYer. ContrapositiveIf I am not a NYer, then I do not live in Albany.
Conditional- If I am not in Richmond then I am not in VA
Inverse- If I am in Richmond then I am in VA.
4. State the hypothesis and conclusion of: If a
figure is a rhombus, then it has four
congruent sides.
10. What is the contrapositive of either of the
conditionals that can be formed by All right
angles measure 90°?
Hypothesis: A figure is a rhombus
Conclusion: It has 4 congruent sides
If it is not a right angle then it does not measure 90°.
5. Write the statement in if-then form. All
isosceles triangles have two congruent
sides.
If it is an isosceles triangle then it has 2 congruent sides.
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Review Material
11. The diagram to the right shows what type of construction?
Perpendicular Bisector
12. U, B, E, and W are collinear with U between B and W, and E between U and W. If WE = 17x + 1, UE
= 8x + 19, BW = -13x + 807, and UB = 18x + 3, solve for BE.
X = 14, BE= 386°
13. An isosceles triangle has a vertex angle of 14. What are the base angles?
83°
14. Where do a plane and a line intersect?
A point
15. How many degrees on the outside of a pentagon?
360°
Written Response
Please answer the following in paragraph form. Responses not in correct paragraph form will not be scored.
Question: Explain in paragraph form how a conditional and its contrapositive are similar and
different.
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