Angles and Their Measures

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Presentation transcript:

Angles and Their Measures Chapter 1 Section 1.4 Angles and Their Measures

Warm-Up Write the distance formula. Find the distance between the points (-2, 5) and (0, 7).

• Angle: Composed of two rays that have the same initial point B Vertex Exterior Sides Interior BAC, CAB, or A The angle can be named 3 ways:

Name the 3 angles in the picture PQS Top angle SQR Bottom angle PQR Whole angle

Congruence  Two angles are congruent if they have the same measure If ABC  PQR then mABC = mPQR Two segments are congruent if they have the same measure Congruence: Having the same size and shape

Protractor Postulate A protractor is used to measure angles Angles are measured using Degrees

Angle addition postulate R • T P RST RSP PST If P is in the interior of RST then mRSP + mPST = m RST

4 angle types A A Acute Angle Right Angle 0° < mA < 90 ° • A A Straight Angle mA = 180 ° Obtuse Angle 90° < mA < 180 °

m TMF = m TMW + m WMF m TMF = 27 + 63 m TMF = 90 m XLV = m XLC + m CLV m  XLV = 39 + 103 m  XLV = 142