What are equations of lines?

Mathematical expressions that describe the relationship between x and y coordinates.

Points where a line crosses the x-axis or y-axis.

What are parallel lines?

Lines in a plane that never meet and are always the same distance apart.

What are perpendicular lines?

Lines that intersect at a right angle (90 degrees).

The point that divides a segment into two equal parts.

What are distance formulas?

Formulas used to calculate the distance between two points.

What is the Pythagorean theorem?

A theorem stating that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

What are special right triangles?

Triangles with specific angle measures, such as 30-60-90 and 45-45-90.

What are geometry formulas for 2-dimensional shapes?

Formulas to calculate perimeter and area of 2D shapes.

What is Hero’s formula?

A formula to calculate the area of a triangle when the lengths of all three sides are known.

What is similarity in geometry?

Two figures are similar if they have the same shape but not necessarily the same size.

What are interior and exterior angle measures?

Interior angles are inside a polygon; exterior angles are outside.

What are properties of sides and diagonals in polygons?

Rules that describe the relationships between the sides and diagonals of polygons.

What are geometry formulas for surface area and volume?

Formulas to calculate the surface area and volume of 3D shapes.

What is the triangle inequality?

A principle stating that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

A round shape where all points are equidistant from the center.

What are tangents, secants, and chords?

Tangent touches a circle at one point; secant intersects at two points; chord is a line segment with both endpoints on the circle.

The distance along the curved line of a circle.

What are power theorems?

Theorems related to the lengths of segments in circles.

What are angles in circles?

Angles formed by lines that intersect or touch a circle.

What are central, inscribed, tangent, and secant angles?

Central angles have their vertex at the center; inscribed angles have their vertex on the circle; tangent angles touch the circle; secant angles intersect the circle.

What are angle-arc theorems?

Theorems that relate angles to the arcs they intercept.

What are inscribed and circumscribed polygons?

Inscribed polygons are inside a circle; circumscribed polygons are outside.

What are transformations in geometry?

Operations that alter the form of a figure, including translations, reflections, rotations, and dilations.

What are translations?

Moving a figure without rotating or flipping it.

What are reflections?

Flipping a figure over a line to create a mirror image.

Turning a figure around a fixed point.

Resizing a figure while maintaining its shape.

What is logic in geometry?

The study of reasoning and argumentation in geometric proofs.

What is the right triangle altitude to the hypotenuse?

The altitude drawn from the right angle to the hypotenuse.

What are segment relationships in triangles?

Relationships between segments formed by intersecting lines in triangles.

What are altitudes in triangles?

Perpendicular segments from a vertex to the opposite side.

What are medians in triangles?

Segments from a vertex to the midpoint of the opposite side.

What are perpendicular bisectors?

Lines that are perpendicular to a segment at its midpoint.

What is right triangle trigonometry?

The study of the relationships between the angles and sides of right triangles.

What are angle bisectors?

Segments that divide an angle into two equal parts.

What is the definition and theorem of angle bisectors?

The angle bisector theorem states that the angle bisector divides the opposite side into segments proportional to the adjacent sides.

The set of points that satisfy a particular condition.

What are incenter, orthocenter, centroid, and circumcenter?

Points of concurrency in triangles: incenter is where angle bisectors meet; orthocenter is where altitudes meet; centroid is where medians meet; circumcenter is where perpendicular bisectors meet.

What is Ptolemy’s theorem?

A theorem relating the sides and diagonals of a cyclic quadrilateral.

What is Ceva’s theorem?

A theorem about the concurrency of cevians in a triangle.

What is Mendeleus’ theorem?

A theorem that relates the lengths of segments created by a transversal intersecting two sides of a triangle.

What are mass points?

A technique in geometry to solve problems involving ratios.

The radius of the inscribed circle of a polygon.

Geometry Concepts and Theorems Flashcards

Student preview

53 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is angle measure?

Back

The size of an angle, typically measured in degrees.

2.

FLASHCARD QUESTION

Front

What are complements and supplements?

Back

Complements are two angles that add up to 90 degrees; supplements add up to 180 degrees.

3.

FLASHCARD QUESTION

Front

What are polygons?

Back

A polygon is a closed figure with three or more sides.

4.

FLASHCARD QUESTION

Front

What are parallel line angle relationships?

Back

Angles formed when a transversal crosses parallel lines.

5.

FLASHCARD QUESTION

Front

What is congruency?

Back

Two figures are congruent if they have the same shape and size.

6.

FLASHCARD QUESTION

Front

What is coordinate geometry?

Back

The study of geometric figures using a coordinate system.

7.

FLASHCARD QUESTION

Front

What is slope?

Back

The measure of the steepness of a line, calculated as rise over run.

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