Geom 4point6and7
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This document discusses properties of different types of triangles: - Isosceles triangles have two sides of equal length, with the third side being the base. Angles opposite equal sides are also equal. - Equilateral triangles have all three sides of equal length and all three interior angles of equal measure (60 degrees each). - Right triangles have one 90 degree angle. The hypotenuse-leg theorem states that if the hypotenuse and one leg are equal in two right triangles, then the triangles are congruent.
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Geom 4point6and7
- 1. 4.6 Isosceles, Equilateral, & Right Triangles Objectives: - Use properties of isosceles, equilateral, and right triangles - HL – Hypotenuse Leg
- 2. Term Review In a triangle with 2 sides of the same length, those 2 sides are called legs , and the 3rd side is called the base .
- 3. Base Angles Theorem If 2 sides of a triangle are congruent, then the angles opposite them are congruent.
- 4. Converse of Base Angles Theorem If 2 angles of a triangle are congruent, then the sides opposite them are congruent.
- 5. Corollary to Base Angles Theorem If a triangle is equilateral, then it is equiangular.
- 6. Corollary to Converse of Base Angles Theorem If a triangle is equiangular, then it is equilateral.
- 7. Find the value of x and y What do we know about x? x is an angle in an equilateral triangle. We know it is also . . . Equiangular. So, 3x=180 x = 60 What do we know about y? It is part of a linear pair So, y = 180 - 60 = 120˚ x y
- 8. Hypotenuse-Leg 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.
- 9. Do p. 239 2-7 Homework: Worksheets Test . . .