Honors Geometry 4.6 Isosceles, Equilateral, and Right

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Honors Geometry

• 4.6 Isosceles, Equilateral, and Right Triangles

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Learning Goals

• Today you will
• Use properties of isosceles and equilateral
  triangles
• Use properties of right triangles

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Warm Up

• Tell how many obtuse, acute and right angles each
  triangle has.
• Acute triangle
• Right triangle
• Obtuse triangle
• Equilateral triangle

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What do you know?

• What special properties do you know about
  isosceles triangles, equilateral triangles, and
  right triangles?
• We will use these properties and more to prove
  special types of triangles are congruent.

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Base Angles Theorem

• If two sides of a triangle are congruent, then
  the angles opposite them are congruent.

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Converse of the Base Angles Theorem

• If two angles of a triangle are congruent, then
  the sides opposite them are congruent.

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Corollary to Base Angles Theorem

• If a triangle is equilateral, then it is
  equiangular.

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Corollary to Converse of the Base Angles Theorem

• If a triangle is equiangular, then it is
  equilateral.

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Find the value of y.
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On Your Own Solve for x and y.
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Hypotenuse-Leg (HL) Congruence Theorem

• If the hypotenuse and a leg of right triangle
  are congruent to the hypotenuse and a leg of a
  second right triangle, then the two triangles are
  congruent.

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Prove that are congruent.

• Given
• Prove

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On Your Own

• Given are right angles
• Prove

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Closure
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• Day 1 11 25 on pages 239 240
• Day 2 4.6 Practice B Worksheet

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4.6 Assignment Answers
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4.6 Practice B Answers
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