Applying Triangle Congruence to Construct Perpendicular Lines and.pptx
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This document discusses using triangle congruence and angle bisectors to construct perpendicular lines. It defines an angle bisector as a line that cuts an angle exactly in half and states that any point on an angle bisector is equidistant from the sides of the angle, according to the Angle Bisector Theorem. The document also reviews triangle congruence theorems and solving simple equations before asking multiple choice questions to test understanding.
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- 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. 4x5 = 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.