Process of using geo facts to logically derive new conclusions.

Logical sequence of statements based on known facts used to show truth.

A method of presenting a logical argument. Statements in one column and reasoning in separate columns.

Logical argument that demonstrates the truth of a math statement called a theorem, by using geo principles and previously proven facts.

Two or more lines in the same plane that never intersect.

Two lines that are neither parallel nor intersecting. They do not lie in the same plane.

Two planes that never intersect.

A line that intersects two other lines in the same plane at two distinct points.

Pairs of angles formed when a transversal line intersects two parallel lines, where the angles are located on the same side of the transversal and on the same side. Angles that are in the same location relative to transversal and are equal in measure.

Alternate Interior Angles

On the alternate side of the transversal within the parallel lines.

Consecutive Interior Angles

Interior and consecutive on the same side and the sum of the angles is always 180 degrees.

How much a line rises for every unit it moves horizontally.

Distance from a point to a line

The shortest distance between that point and any point on the line.

A triangle where all three sides are of different lengths.

A triangle where two sides are equal.

A triangle where all sides are equal.

A triangle where all 3 interior angles are less than 90 degrees.

A triangle where one of its angles measures exactly 90 degrees.

A triangle in which one its angles measure more than 90 degrees.

A statement that follows with little to no proof required from an already proven statement.

Two shapes that have the same exact size and shape.

The parts of two geo figures that occupy the same relative position within each figure.

The two sides of a right triangle that form the right angle.

The longest side of a right triangle. Always opposite the right angle.

A line segment that connects the midpoints of two sides of a triangle, divides two sides of a triangle equally.

A pair of numbers (x,y) that precisely identify the location of a point on a coordinate plane.

Perpendicular Bisector

Cuts a line segment in half while forming a right angle at the point of intersection.

A point is the same distance away from two or more other points.

The point where three or more lines intersect with each other.

The new position or shape of a point, line, or figure after a transformation has been applied.

The original shape or shape before it undergoes a transformation.

A transformation that moves a figure from one location to another without changing its size or shape.

A quantity that possesses both magnitude (size) and direction.

A way of representing a vector by listing its horizontal and vertical components as an ordered pair. (How far the vector moves along the x axis and y axis).

An imaginary line across which a shape is flipped to create its mirrored image.

The fixed point when a figure is rotated during a transformation. The point that stays the same while the shape turns around.

The angle formed by the initial position of a point and its rotated position around a central point.

A transformation that combines a reflection across a line with a translation parallel to that line.

Composition of Transformations

Multiple transformations on a single figure, resulting in a new figure.

An imaginary line that divides a shape into two identical halves.

A shape that looks the same after being partially rotated.

Geometry Concepts Flashcards

Student preview

50 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Inductive reasoning

Back

Forming a conclusion based on a set of observations or patterns.

2.

FLASHCARD QUESTION

Front

Counterexample

Back

A specific example that disproves a proposed geometric statement by making a case it is not true.

3.

FLASHCARD QUESTION

Front

Conditional Statement

Back

A statement that expresses a relationship between 2 geometric concepts. 'If (hypothesis), then (conclusion)'.

4.

FLASHCARD QUESTION

Front

Converse

Back

Reversing the ifs and then’s of a theorem.

5.

FLASHCARD QUESTION

Front

Equivalent Statements

Back

Two statements that have the same truth. If one statement is true, the other must be true.

6.

FLASHCARD QUESTION

Front

Perpendicular Lines

Back

A line that intersects another line at a 90-degree angle. Two lines meet at a perfect corner.

7.

FLASHCARD QUESTION

Front

Biconditional Statement

Back

A statement that shows a relationship between 2 geo concepts. If and only if, both statements must be true for the statement to be valid.

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