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Geometry Fundamentals: Measuring Segments and Angles

Learn how to measure segments with a ruler and coordinates, identify congruent segments, define midpoints, name and measure angles accurately.

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Geometry Fundamentals: Measuring Segments and Angles

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  1. Notes for Section 1-4 Measuring Segments and Angles

  2. To measure a segment, we can use a ruler and measure the distance between the two ____________. OR We can think of the segment as part of a ___________ line. A B C D E F G H I - 4 - 3 - 2 - 1 0 1 2 3 4

  3. Look at segment AE How can we determine the length of segment AE? The coordinate of A is _______ The coordinate of E is _______ | | = | | = A B C D E F G H I - 4 - 3 - 2 - 1 0 1 2 3 4

  4. Congruent Segments Two segments with the same ____, denoted __ Can you determine some congruent segments from the number line below? A B C D E F G H I - 4 - 3 - 2 - 1 0 1 2 3 4

  5. Practice 1-4 # 4 - 7

  6. An important postulate……. If three points A, B, and C are _______ and B is between A and C, then ________________.

  7. Practice 1-4 # 1 – 3, 9 - 11

  8. Midpoint A point that divides a segment into two _________ segments. A midpoint _____ the segment.

  9. Let’s look at the following example. Z is the midpoint of segment XY, and XY = 27. Find XZ.

  10. Practice 1-4 # 21 - 22

  11. Angle A Formed by two _____ with the same endpoint, denoted ___ 1 B C There are four ways to name this angle. The endpoint is called the _____ of the angle. __________________________

  12. One way to express the measure of an angle is in _________. 65° B We would write this as…… ______________

  13. Angle Measuring Activity

  14. Acute Angle An angle with measurement between ____ and ____ degrees.

  15. Right Angle An angle with measurement of _____ degrees.

  16. Obtuse Angle An angle with measurement between ____ and ___ degrees.

  17. Straight Angle An angle with measurement of ____ degrees.

  18. An important postulate…… If point B is in the ________ of AOC, then _________________________ A B O C

  19. Congruent Angles Angles with the same ________. For example… If ____________, Then ____________

  20. Practice 1-4 # 8, 12 - 20

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