1. Lesson 1-3 Review Problem 1 LN means distance from point L to point N. L is located at -2 and N at 12. Subtract and take the absolute value. So, -2 – 12 = -14 Absolute value is 14 or 12-(-2) = 14 Either way you will get the correct answer

2. Lesson 1-3 Review Problem 2 We know that: PQ + QR = PR Segment Addition Postulate (5x-2)+(x+12) = 40 Substitution 6x+10 = 40 Combine like terms 6x = 30 Subtract 10 from each side x = 5 Divide both sides by 6 Substitute 5 for x to find PQ and QR PQ = 5x-2=5(5)-2=23 QR = x + 12 = 5 + 12= 17 So PQ = 23 and QR = 17 Check: 23 + 17 = 40

3. Congruent means exactly the same. So are segments BD and CE the same length? Segment BD is 8 units long Segment CE is 10 units long They are NOT congruent because they are different lengths Lesson 1-3 Review Problem 3

4. Lesson 1-3 Review Problem 4 We know that: HJ = JK Definition of Midpoint (9x-2)=(4x+13) Substitution 5x - 2 = 13 Subtract 4x from each side 5x = 15 Add 2 to each side x = 5 Divide both sides by 5 Substitute 5 for x to find HJ and JK HJ = 9x-2 = 9(5)-2 = 43 JK = 4x + 13 = 4(5) + 13 = 58 HK = 43 + 58 = 102 Means exactly in the middle. So HJ and JK are the same length (congruent). 43 58