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### Measuring Segments and Coordinate Plane

• 1. 1.4: Measuring Segments and Angles Prentice Hall Geometry
• 2. C E A B D 0 -8 8 -2 -4 -1 2 4 6 -6 The numerical location of a point on a number line. Coordinate : On a number line length AB = AB = |B - A| Length : On a number line, midpoint of AB = 1/2 (B+A) Midpoint :
• 3. Find which two of the segments XY, ZY, and ZW are congruent. Because XY = ZW, XYZW. Measuring Segments and Angles GEOMETRY LESSON 1-4 Find the length of each segment. XY = | –5 – (–1)| = | –4| = 4 ZY = | 2 – (–1)| = |3| = 3 ZW = | 2 – 6| = |–4| = 4
• 4. The Segment Addition Postulate If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC. A B C
• 5. AN = 2x – 6 = 2(8) – 6 = 10 NB = x + 7 = (8) + 7 = 15 Substitute 8 for x. If AB = 25, find the value of x. Then find AN and NB. Use the Segment Addition Postulate to write an equation. AN + NB = ABSegment Addition Postulate (2x – 6) + (x + 7) = 25 Substitute. 3x + 1 = 25 Simplify the left side. 3x = 24 Subtract 1 from each side. x = 8 Divide each side by 3. AN = 10 and NB = 15, which checks because the sum of the segment lengths equals 25.
• 6. RM = 5x + 9 = 5(15) + 9 = 84 MT = 8x – 36 = 8(15) – 36 = 84 Substitute 15 for x. RM and MT are each 84, which is half of 168, the length of RT. Mis the midpoint of RT. Find RM, MT, and RT. Use the definition of midpoint to write an equation. RM = MTDefinition of midpoint 5x + 9 = 8x – 36Substitute. 5x + 45 = 8xAdd 36 to each side. 45 = 3xSubtract 5x from each side. 15 = xDivide each side by 3. RT = RM + MT= 168
• 7. Quiz 1. T is in between of XZ. If XT = 12 and XZ = 21, then TZ = ? 2. T is the midpoint of XZ. If XT = 2x +11 and XZ = 5x + 8, find the value of x.
• 9. Parts of Coordinate Plane y-axis Quadrant II Quadrant I ( - , + ) ( +, + ) origin x-axis Quadrant III Quadrant IV ( - , - ) ( + , - )
• 10. Distance On a number line formula: d = | x2 – x1 | On a coordinate plane formula:
• 11. Find the distance between T(5, 2) and R( -4. -1) to the nearest tenth.
• 12. Midpoint On a number line formula: On a coordinate plane formula:
• 13. The midpoint of AB is M(3, 4). One endpoint is A(-3, -2). Find the coordinates of the other endpoint B.
• 14.
• 15. Formed by two rays with the same endpoint.
• 18. Name:
• 20. Measure is GREATER than 90º
• 21. Measure is LESS than 90º
• 22. Measure is exactly 180º ---this is a line
• 23. Angles with the same measure.