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Measuring Segments and Angles

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Presentation on theme: "Measuring Segments and Angles"— Presentation transcript:

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

2 We can think of the segment as part of a ___________ line.
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 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 1 2 3 4

4 Two segments with the same ____, denoted __
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 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,

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

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

10 Practice 1-4 #

11 Angle __________________________
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 An angle with measurement between ____ and ____ degrees.
Acute Angle An angle with measurement between ____ and ____ degrees.

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

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

17 An angle with measurement of ____ degrees.
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 Angles with the same ________.
Congruent Angles Angles with the same ________. For example… If ____________, Then ____________

20 Practice 1-4 # 8,


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