1. Warm-up To determine your target heart rate r (in beats per minute) before exercising, use the equation, where a is your age in years. Solve for r. Then using a = 14, find the target heart rate.

2. Congruent Segments and Congruent Angles Segments that have the same length are called congruent segments. Angles that have the same measure are called congruent angles. Lengths are equalSegments are congruent AB = AD Measures are equalAngles are congruent

3. Segment Addition Postulate If B is between A and C, then AB + BC = AC. If AB+BC = AC, then B is between A and C. B A C

4. Use the Segment Addition Postulate to write four different statements about the figure shown. D G J M

5. Adjacent Angles T is adjacent to Angle Addition Postulate S R P 80 0 68 0

6. The Grand Union Flag below contains several angles. If C D B A

7. Algebraic Properties of Equality Addition Property If a=b, then a+c = b+c Subtraction Property If a=b, then a-c = b-c Multiplication Property If a=b, then ac = bc Division Property If a=b and c≠0, then a÷c = b÷c Reflexive Property For any real number a, a=a Symmetric Property If a=b, then b=a. Transitive Property If a=b and b=c then a=c. Substitution Property If a=b, then a can be substituted for b in any equation or expression.

8. Use the property to complete the statement. Symmetric property of equality: Transitive property of equality:

9. Use the property to complete the statement. Substitution property of equality: Subtraction property of equality:

10. Use the property to complete the statement. Division property of equality: Distributive property of equality:

11. Properties of Equality Segment Length Reflexive - For any segment AB, AB=AB Symmetric - If AB=CD, then CD=AB Transitive - If AB=CD and CD = EF, then AB=EF Angle Length Reflexive - For any angle A, m ∠ A=m ∠ A Symmetric - If m ∠ A=m ∠ B, then m ∠ B=m ∠ A Transitive – If m ∠ A=m ∠ B and m ∠ B=m ∠ C, then m ∠ A=m ∠ C