Applying Triangle Congruence to Construct Perpendicular Lines and.pptx
- 1. Applying Triangle Congruence to Construct Perpendicular Lines and Angle Bisector
- 2. Objectives: At the end of the lesson, 75 % of the students will be able to: 1. Define angle bisector. 2. Draw an angle bisector equidistant from the sides of the angle. 3. Appreciate congruences and exact measurements of angles and lines.
- 4. Review: What do you mean by the following acronyms? 1. SSS 2. SAS 3. AAS 4. CPCTC 5. HL
- 5. Unequal distribution of wealth
- 6. Angle Bisector Theorem An angle bisector cuts an angle exactly in half. One important property of angle bisectors is that if a point is on the bisector of an angle, then the point is equidistant from the sides of the angle. This is called the Angle Bisector Theorem.
- 8. Angle Bisector Theorem Converse: If a point is in the interior of an angle and equidistant from the sides, then it lies on the bisector of that angle.
- 9. 4x−5 = 23 4x = 28 x = 7
- 10. x + 7 = 2(3x – 4) x + 7 = 6x - 8 15x = 5 x = 3
- 12. a. 4 b. 2 c. 2 d. 3 1.
- 13. a. 3 b. 26 c. 30 d. 34 2.
- 14. a. 2 b. 4 c. 6 d. 8 3.
- 15. a. 3 b. 8 c. 1 d. 2 4.
- 16. What is the name of the triangle and its perpendicular bisector? The point at which the perpendicular bisectors of a triangle meet are known as the circumcenter of the triangle and it is equidistant from all the vertices.