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Understanding Angles: Measurement and Congruence

Explore the concept of angles, their types, and measures. Learn how to identify angles and use a protractor to measure them accurately. Understand angle addition postulate and congruence principles. Practice problems included.

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Understanding Angles: Measurement and Congruence

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  1. Chapter 1Section 1.4 Angles and Their Measures

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

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

  4. 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

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

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

  7. 4 angle types A A Acute Angle 0° < mA < 90 ° Right Angle mA = 90 ° • A A Straight Angle mA = 180 ° Obtuse Angle 90° < mA < 180 °

  8. 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

  9. HW #5Pg 28: 1-39, 51-58, 64-73

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