Geometry Chapter 2 Review (Glencoe)

Name: ________________________________ Date:________ Per.: ______

Geometry Chapter 2 Review (Glencoe) For questions 1-2, decide if the conditional statement is true or false. If false, provide a counterexample. TRUE or FALSE? __________ 1.) If two angles are complementary, then they are adjacent. If false, state a counterexample: ___________________________________________________________ __________ 2.) If x2 = 9x, then x = 9. If false, state a counterexample: ___________________________________________________________

3.) Rewrite the following biconditional statement as a conditional statement and its converse to decide whether the biconditional statement is true or false. Three points are collinear if and only if they are coplanar. Conditional: If three points are collinear, then _____________________________________________. CIRCLE: TRUE or FALSE? If false, provide a counterexample: ________________________________

Converse: If _______________________________________, then _____________________________. CIRCLE: TRUE OR FALSE? If false, provide a counterexample: _______________________________

Is the biconditional statement true or false? ___________________ 4.) Identify the converse for the given conditional statement. If two rays are opposite rays, then they share the same initial point. A.) Opposite rays share the same initial point. B.) If two rays share the same initial point, then they are opposite rays. C.) Two rays are opposite rays if and only if they share the same initial point. D.) None of the above For questions 5-7, name a property to justify each statement. 5.) ̅ ≅ ̅

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6.) If m2 = 25°, then m1 + m2 = m1 + 25°.

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7.) Provide justification for each step in the solution to the equation below.

Name: ________________________________ Date:________ Per.: ______

Geometry Chapter 2 Review (Glencoe) For questions 8-10, use the reasons bank to justify each statement

Definition of midpoint

Reasons Bank Addition Property

Definition of congruent segments

Multiplication Property

Division Property

Segment Addition Postulate

Symmetric Property

Transitive Property

Simplify (Combine Like Terms)

Substitution

Vertical s are ≅.

Linear pairs are supplementary.

8.) Given: 6 ≅7 Prove: 5 ≅8 Statements

Reasons

1. 6 ≅7

1.

2.

2. Vertical Angles Theorem

3. 5 ≅7

3.

4. 7 ≅8

4.

5.

5. Transitive Property

9.) Given: BC  DE Prove: AB + DE = AC Statements



1.BC  DE 2. BC = DE 3. AB + BC = AC 4. AB + DE = AC

Reasons 1. 2. 3. 4.

10.) Given: Q is the midpoint of PR . Prove: x = 9 Statements 1.  2.

P

Q Reasons

1. 2.

3.

3.

4.

4.

5.

5.

6.

6.

R