Measuring Angles Unit 1 Lesson 4.

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Presentation transcript:

Measuring Angles Unit 1 Lesson 4

Students will be able to: Measuring Angles Students will be able to: find and compare measures of angles Key Vocabulary angle right angle sides of an angle obtuse angle vertex of an angle straight angle measure of an angle congruent angle acute angle

Measuring Angles When you name angles using three points, the vertex MUST go in the middle.

Measuring Angles 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.

Measuring Angles Problem 1: What are the two other names for <1? What are the two other names for <KML? Would it be correct to name any of the angles <M? Explain!!

Measuring 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. You write this as m<A = 62.

The Protractor Postulate allows you to find the measure of an angle. Measuring Angles The Protractor Postulate allows you to find the measure of an angle.

Measuring Angles The measure of <COD is the absolute value of the difference of the real numbers paired with Ray OC and Ray OD.

Classifying Angles: You tell me: ACUTE RIGHT OBTUSE STRAIGHT Measuring Angles Classifying Angles: You tell me: ACUTE RIGHT OBTUSE STRAIGHT

Measuring Angles Problem 2: What are the measures of <LKN, JKL, and JKN? Classify each angle as acute, right, obtuse, or straight.

Measuring Angles Angles with the same measure are congruent angles. This means that if m<A = m<B, then <A <B. You can mark angles with arcs to show that they are congruent. If there is more than one set of congruent angles, each set is marked with the same number of arcs.

Measuring Angles Problem 3: Synchronized swimmers form angles with their bodies, as shown in the photo. If m<GHJ = 90, what is m<KLM?

Measuring Angles

Problem 4: If m<RQT = 155, what are m<RQS and m<TQS? Measuring Angles Problem 4: If m<RQT = 155, what are m<RQS and m<TQS?

<DEF is a straight angle. What are m<DEC and m<CEF? Measuring Angles Problem 5: <DEF is a straight angle. What are m<DEC and m<CEF?