# Study sets matching "gmat geometry"

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Three principles of geometry problems

If one of the sides of a triangle inscr…

Inscribed

Straight line

1. If they don't tell you, don't assume... 2. If they give you a…

then the triangle must be a right triangle

when a triangle lies inside a circle and points (vertices) of…

Shortest distance between two points. Measures 180 degrees.

Three principles of geometry problems

1. If they don't tell you, don't assume... 2. If they give you a…

If one of the sides of a triangle inscr…

then the triangle must be a right triangle

Line

Ray

Line Segment

Angles

Passes through two points and goes on forever in both directio…

Starts at one point and goes on forever

Starts at one point and ends at another

Measured in degrees and formed by the intersection of 2 lines

Line

Passes through two points and goes on forever in both directio…

Ray

Starts at one point and goes on forever

Diameter

3 Things to Remember

Pythagorean Theorem

Straight Line

Must be indicated but it is the length of one side of the circ…

1.) If they don't tell you, don't assume... 2.) If they give you…

A^2 + B^2= C^2

Shortest distance between 2 points. As an angle it is 180 degr…

Diameter

Must be indicated but it is the length of one side of the circ…

3 Things to Remember

1.) If they don't tell you, don't assume... 2.) If they give you…

Line

Ray

Line Segment

Angles

Passes through two points and goes on forever in both directio…

Starts at one point and goes on forever

Starts at one point and ends at another

Measured in degrees and formed by the intersection of 2 lines

Line

Passes through two points and goes on forever in both directio…

Ray

Starts at one point and goes on forever

Polygon

Angle

Ray

Acute Angle

A two-dimensional, closed shape made of line segments. For exa…

A figure formed by two lines sharing a common endpoint.

A straight line extending from a point.

An angle less than 90° and greater than 0°... /_

Polygon

A two-dimensional, closed shape made of line segments. For exa…

Angle

A figure formed by two lines sharing a common endpoint.

Parallelogram

Sum of interior angles of a parallelogr…

Rectangle

Rhombus

Opposite sides and opposite angles equal

180*(n-2) where n is the number of sides

All angles 90 degrees, opposite sides equal

Opposite angles equal, all sides equal

Parallelogram

Opposite sides and opposite angles equal

Sum of interior angles of a parallelogr…

180*(n-2) where n is the number of sides

vertical angels

perpendicular

parallel

polygon

2 lines intersect the opposite angles

two lines intersect at a right angel

two lines that are in the same plane but don't intersect

closed plane figure formed by 3 or more line segments ... each in…

vertical angels

2 lines intersect the opposite angles

perpendicular

two lines intersect at a right angel

Right triangle ratio sets (AKA Pythagor…

Isosceles triangle

Sides of a 45, 45, 90 right triangle (i…

Sides of a 30,60,90 right triangle

3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41

Isosceles Triangle ... Two equal sides ... Two equal angles

x, x, x√2... Has a right angle ( (90°), and also two equal angles

x, x√3, 2x

Right triangle ratio sets (AKA Pythagor…

3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41

Isosceles triangle

Isosceles Triangle ... Two equal sides ... Two equal angles

Area

Radius

Radius line segments are alike?

Diameter

Area= ~r2 (pi r squared)

The distance between the center of the circle and a point on t…

All radii in the same circle have the same length

Two radio laid end to end so 2x the length of the radius or d=…

Area

Area= ~r2 (pi r squared)

Radius

The distance between the center of the circle and a point on t…

If one of the sides of a triangle in a…

Pythagorean theorem

Perpendicular lines are lines that ...

quadrilateral is a

the triangle must be a right triangle

a² + b² = c²

intersect at a 90 degree angle

any four-sided polygon

If one of the sides of a triangle in a…

the triangle must be a right triangle

Pythagorean theorem

a² + b² = c²

Lines

The sum of 2 angles on one side of a li…

parallel lines on a dimensional plane

Two perpendicular lines

straight lines that never alter direction

is always 180 degrees

will never intersect

are at 90 degrees to each other

Lines

straight lines that never alter direction

The sum of 2 angles on one side of a li…

is always 180 degrees