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GEOMETRY: Chapter 4

GEOMETRY: Chapter 4. 4.6: Use Isosceles and Equilateral Triangles. Theorem 4.6: BASE ANGLES THEOREM If two sides of a triangle are congruent, then the angles opposite them are congruent. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 264.

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GEOMETRY: Chapter 4

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  1. GEOMETRY: Chapter 4 4.6: Use Isosceles and Equilateral Triangles

  2. Theorem 4.6: BASE ANGLES THEOREM If two sides of a triangle are congruent, then the angles opposite them are congruent. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 264.

  3. Theorem 4.7: CONVERSE OF BASE ANGLES THEOREM If the angles of a triangle are congruent, then the sides opposite them are congruent. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 264.

  4. Ex. 1 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 265.

  5. Corollary to the Base Angles Theorem If a triangle is equilateral, then it is equiangular. Corollary to the Converse of the Base Angles Theorem If a triangle is equiangular, then it is equilateral. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 265.

  6. Ex. 2. Find the measures of Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 265.

  7. Ex. 3. Find the values of x and y in the diagram. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 266.

  8. Ex. 4. Diagonal braces segment AC and segment BD are used to reinforce a signboard that advertises fresh eggs and produce at a roadside stand. Each brace is 14 feet long. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 266.

  9. Ex. 4. (cont.) • What congruence postulate can you use to prove that triangle ABC is congruent to triangle DCB? • Explain why triangle BEC is isosceles. • What triangles would you use to show that triangle AED is isosceles?

  10. RIGHT TRIANGLES—In a right triangle, the sides adjacent to the right angle are called the legs. The side opposite the right angle is called the hypotenuse of the right triangle. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 241.

  11. Theorem 4.8 Hypotenuse-Leg (HL) Congruence Theorem If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 241.

  12. Ex. 5 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 242.

  13. Write Ex. 5 Proof here:

  14. Write Ex. 5 Proof here:

  15. Triangle Congruence Postulates and Theorems Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 252.

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