Ch 1-4 Students will be able to find and compare the measures of angles. Measuring Angles In this lesson, you will learn to describe and measure angles.

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Presentation transcript:

Ch 1-4 Students will be able to find and compare the measures of angles. Measuring Angles In this lesson, you will learn to describe and measure angles like the ones in the Solve It. Geometry Foundations, pg 28

Ch 1-4 Students will be able to find and compare the measures of angles. Focus Question How do you find and compare the measure of angles? You can use the number operations to find and compare the measure of angles. Geometry Foundations, pg 28

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 28

Ch 1-4 Students will be able to find and compare the measures of angles. When you name angles using three points, the vertex must go in the middle. The interior of an angle is the region containing all of the points between the two sides of the angle. The exterior of an angle is the region containing all of the points outside of the angle. Geometry Foundations, pg 28

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 29

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 29

Ch 1-4 Students will be able to find and compare the measures of angles. One way to measure the size of an angle is in degrees. To indicate the measure of an angle, write a lowercase m in front of the angle symbol. In the diagram, the measure of A is 62. In this book, you will work only with degree measures. A circle has 360º, so 1 degree is of a circle. A protractor forms half a circle and measures angles from 0º to 180º. < 1 360 Geometry Foundations, pg 29

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 29

Ch 1-4 Students will be able to find and compare the measures of angles. The Protractor Postulate allows you to find the measure of an angle. Consider the diagram below. The measure of COD is the absolute value of the difference of the real numbers paired with OC and OD. That is, if OC corresponds with c, and OD corresponds with d, the m COD = │c - d│. Notice that the Protractor Postulate and the calculation of an angle measure are very similar to the Ruler Postulate and the calculation of a segment length. < < Geometry Foundations, pg 29

Ch 1-4 You can classify angles according to their measures. Students will be able to find and compare the measures of angles. You can classify angles according to their measures. Geometry Foundations, pg 30

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 30

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 31

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 31

Ch 1-4 Students will be able to find and compare the measures of angles. The Angle Addition Postulate is similar to the Segment Addition Postulate. Geometry Foundations, pg 31

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 32

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 32

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 34

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 34

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 34

Ch 1-4 Students will be able to find and compare the measures of angles. Geometry Foundations, pg 34