# World of Triangles by steph777

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```									The World Of Triangles

Free powerpoints at http://www.worldofteaching.com

Triangles
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A triangle is a 3sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180°.

Acute Triangles
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A triangle in which all three angles are less than 90°.

Obtuse Triangles
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An obtuse triangle is a triangle in which one of the angles is greater than 90°.

Right Triangles
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A right triangle is triangle with an angle of 90°.

Scalene Triangles
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A triangle with three unequal sides.

Isosceles Triangles
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An isosceles triangle is a triangle with (at least) two equal sides.

Isosceles Triangle Theorem
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The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Equilateral Triangles
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An equilateral triangle is a triangle with all three sides of equal length.

Equiangular Triangles
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An equiangular triangle is a triangle which has three equal angles.

Congruent Triangles
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Congruent triangles are triangles whose corresponding angles and sides are congruent. They are exactly the same size and shape.

The Hypotenuse
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The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.

The Pythagorean Theorem
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For a right triangle with legs a and b and hypotenuse c, a2+b2=c2.

Triangle Quiz
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Please complete the following quiz that covers the information that was just presented to you.

Question 1
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If a triangle has three unequal sides it is a ______ triangle.
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A) Scalene

A) Scalene B) Obtuse C) Isosceles

Question 2
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A triangle which has three equal angles is a ______ triangle.
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C) Equiangular

A) Acute B) Equilateral C) Equiangular

Question 3
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A triangle with (at least) two equal sides is a ______ triangle.
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B) Isosceles

A) Scalene B) Isosceles C) Congruent

Question 4
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Two triangles that are equal are called ______ triangles
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C) Congruent

A) Acute B) Obtuse C) Congruent

Question 5
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A triangle with all three sides of equal length is a ______ triangle.
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A) Equilateral

A) Equilateral B) Right C) Equiangular

Question 6
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A triangle with an angle of 90° is a ______ triangle.
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B) Right

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A) Acute B) Right C) Congruent

Question 7
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A triangle in which all three angles are less than 90° is a ______ triangle.
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B) Acute

A) Right B) Acute C) Scalene

Question 8
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A triangle in which one of the angles is greater than 90° is a ______ triangle.
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A) Obtuse

A) Obtuse B) Isosceles C) Acute

Question 9
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What is the Hypotenuse of a right triangle?
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A) The smallest angle. B) The side opposite the right angle. C) The right angle.

B) The side opposite the right angle.

Question 10
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The Pythagorean Theorem states …
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C) a2+b2=c2

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A) pr2 B) (a+b)2/2=c C) a2+b2=c2

Question 11
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Use the Pythagorean Theorem to solve the following:
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