Geometry Chapter 2 Study Guide

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Geometry Chapter 2 Study Guide. 1. Name the ... 4. Addition Property of Equality. If. , then ______. 5. Substitution Property of Equality. If. , then ______. 6.
Name __________________________________ Period _________________ Date _____________________

Geometry Chapter 2 Study Guide 1. Name the Property of Equality that justifies the statement: If g = h, then .

2. Name the Property of Congruence that justifies the statement: If .

3. Name the Property of Congruence that justifies the statement: If .

Use the given property to complete the statement. 4. Addition Property of Equality If , then ______.

5. Substitution Property of Equality If , then ______.

6. Write the conditional statement that the Venn diagram illustrates.

Quadrilaterals

Squares

Name __________________________________ Period _________________ Date _____________________ 7. What is the converse of the following conditional? If a point is in the first quadrant, then its coordinates are positive.

8. Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample. If x = 2, then x2 = 4.

9. For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional. If x = -10, then x3 = -1000.

10. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. I will score well on the exam if I study for 1 hour each day. I can afford to buy a ticket.

11. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Driving is difficult if the weather is stormy. Driving is difficult.

12. Use the Law of Syllogism to draw a conclusion from the two given statements. If you exercise regularly, you have a healthy body. If you have a healthy body, you have more energy.

Name __________________________________ Period _________________ Date _____________________ Fill in each missing reason. 13. Given: Find x.

,

P

, and

.

R

Q

S

Drawing not to scale

x + 3 + x – 7 = 100 2x – 4 = 100 2x = 104 x = 52

14. Given: 4x

6x + 3

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a. _____ b. Substitution Property c. Simplify d. _____ e. Division Property of Equality

Name __________________________________ Period _________________ Date _____________________ 15. bisects = 11x. that you can justify each step.

=

. Find

Write in two column proof style so

16. Find the values of x and y. Write in two column proof style so that you can justify each step.

3y° 6x – 3°

111°

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17. For the given statements below, write the first statement as a conditional in if-then form. Then, if possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Explain. An acute angle has a measure greater than 0 and less than 90. is an acute angle.

Name __________________________________ Period _________________ Date _____________________ 18. Use the Law of Detachment to draw a conclusion from the two given statements. If two angles are complementary, then the sum of their measures is 90°. and

are complementary.

19. Use two column proof format to prove: Given:

are supplementary, and

are supplementary.

Prove: 2

1

3