1 / 21

Understanding Angles and Their Measures in Geometry

This lesson focuses on the classification of angles and the application of angle postulates. Students will learn to identify and name angles based on their measures, including acute, right, obtuse, and straight angles. Using angle postulates, students will understand the concept of congruency and the distinction between measures and congruency in angles. Additionally, the Interior and Exterior concepts of angles will be explored, along with the Angle Addition Postulate. Engage with practical examples to reinforce your understanding of angle relationships.

price-mclaughlin
Télécharger la présentation

Understanding Angles and Their Measures in Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1.6-1.7 Angles and Their Measures Geometry

  2. Objectives: • Use angle postulates • Classify angles as acute, right, obtuse, or straight.

  3. Using Angle Postulates • An angle consists of two different rays that have the same initial point. The rays are the sides of the angle. The initial point is the vertex of the angle. • The angle that has sides AB and AC is denoted by BAC, CAB, A. The point A is the vertex of the angle.

  4. Ex.1: Naming Angles • Name the angles in the figure: SOLUTION: There are three different angles. • PQS or SQP • SQR or RQS • PQR or RQP You should not name any of these angles as Q because all three angles have Q as their vertex. The name Q would not distinguish one angle from the others.

  5. more . . . • Angles that have the same measure are called congruent angles. 50°

  6. Note – Geometry doesn’t use equal signs like Algebra MEASURES ARE EQUAL mBAC = mDEF ANGLES ARE CONGRUENT BAC  DEF “is congruent to” “is equal to” Note that there is an m in front when you say equal to; whereas the congruency symbol  ; you would say congruent to. (no m’s in front of the angle symbols).

  7. Interior/Exterior • A point is in the interior of an angle if it is between points that lie on each side of the angle. • A point is in the exterior of an angle if it is not on the angle or in its interior.

  8. Postulate 4: Angle Addition Postulate • If P is in the interior of RST, then mRSP + mPST = mRST

  9. Classifying Angles • All angles are classified as acute, right, obtuse, and straight, according to their measures.

  10. 6 and 5 are also a linear pair m5 = 50˚.

More Related