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GEOMETRY - 4TH SIX WEEKS
4th Six Weeks Geometry Flashcards
13
Mathematics
10th Grade
01/13/2014

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Cards

Term
Triangle Inequality Theorem
Definition
Any side of a triangle must be shorter than the other two sides added together.
Term
Included Angle
Definition
The angle between two sides.
Term
Hinge Theorem
Definition

If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second

triangle.

Term

Converse of

Hinge Theorem

Definition
If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle.
Term

Pythagorean

Theorem

Definition
The square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Term

Converse of 

Pythagorean Theorem

Definition
If in a triangle the square on one of the sides equals the sum of the squares on the remaining two sides of the triangle, then the angle contained by the remaining two sides of the triangle is right.
Term

Pythagorean

Triple

Definition
Represents the lengths of the sides of a right triangle where all three sides have integer lengths.
Term
Right Triangle
Definition
A triangle in which one angle is a right angle (that is, a 90-degree angle).
Term

Leg of

Right Triangle

Definition
The legs are the two shorter sides of the triangle.
Term
Hypotenuse
Definition
 The longest side of a right-angled triangle, the side opposite of the right triangle.
Term

Triangle Sum

Theorem

Definition
The sum of the interior angles of any triangle is equal to 180 degrees.
Term

Exterior Angle

Theorem

Definition
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles
Term

Special Right

Triangles

Definition

A right triangle with some regular feature that makes

calculations on the triangle easier, or for which simple formulas exist.

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