# Study sets matching "geometry chapter 6"

Concurrent

Point of Concurrency

Circumcenter

Incenter

When three or more lines, rays, or segments intersect in the s…

The point of intersection of the three or more lines, rays, or…

The circumcenter of a triangle is the point where the perpendi…

The incenter of a triangle is the point where all three angle…

Concurrent

When three or more lines, rays, or segments intersect in the s…

Point of Concurrency

The point of intersection of the three or more lines, rays, or…

Slope Form

Midpoint Form

Distance Formula

Diagonal

(y₂- y₁) / (x₂- x₁)=m

(x1+x2/2, y1+y2/2)

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

A segment that connects any two nonconsecutive vertices.

Slope Form

(y₂- y₁) / (x₂- x₁)=m

Midpoint Form

(x1+x2/2, y1+y2/2)

midsegment

midpoint

perpendicular bisector

equidistant

connects the midpoints of two sides in a triangle. it is paral…

a point that divides a segment into two congruent pieces (in h…

a line that is perpendicular to a segment at its midpoint

the same distance

midsegment

connects the midpoints of two sides in a triangle. it is paral…

midpoint

a point that divides a segment into two congruent pieces (in h…

Midsegment

Midpoint

Perpendicular Bisector

Equidistant

Connects the midpoints of two sides in a triangle. It is paral…

A point that divides a segment into two congruent pieces (in h…

A line that is perpendicular to a segment at its midpoint (cut…

The same distance

Midsegment

Connects the midpoints of two sides in a triangle. It is paral…

Midpoint

A point that divides a segment into two congruent pieces (in h…

midsegment

midpoint

perpendicular bisector

equidistant

Connect the midpoints of two sides in a triangle. It is parall…

A point that divides a segment into two congruent pieces (in h…

A line that is perpendicular to a segment at its midpoint (cut…

The same distance

midsegment

Connect the midpoints of two sides in a triangle. It is parall…

midpoint

A point that divides a segment into two congruent pieces (in h…

midsegment (6.4)

midpoint (1.3)

perpendicular bisector (6.1)

equidistant (6.1)

connects the midpoints of two sides in a triangle, it is paral…

a point that divides a segment into two congruent pieces

a line that is perpendicular to a segment as its midpoint (cut…

the same distance

midsegment (6.4)

connects the midpoints of two sides in a triangle, it is paral…

midpoint (1.3)

a point that divides a segment into two congruent pieces

Midsegment

midpoint

perpendicular ... bisector

equidistant

connects the midpoints of two sides in a triangle. It is paral…

A point that divides a segment into two congruent pieces

A line that is perpendicular to a segment at its midpoint (cut…

The same distance

Midsegment

connects the midpoints of two sides in a triangle. It is paral…

midpoint

A point that divides a segment into two congruent pieces

Equation of a perpendicular line. If gi…

Write compound inequalities

Draw a perpendicular Bisector

Perpendicular bisector theorem

1. Find slope of perpendicular line, n... 2. Using y=mx + b, Slop…

Number greater than or equal x >=.... Less than x <... number is at…

Line that is perpendicular to the segment at the midpoint

If a point lies on a perpendicular bisector of a segment, then…

Equation of a perpendicular line. If gi…

1. Find slope of perpendicular line, n... 2. Using y=mx + b, Slop…

Write compound inequalities

Number greater than or equal x >=.... Less than x <... number is at…

proportion

similar polygons

statement of proportionality

scale factor

an equation that states that two ratios are equal

two polygons such that their corresponding angles are congruen…

a statement of equivalent ratios to express similarity (the ra…

the ratio of the lengths of two corresponding sides

proportion

an equation that states that two ratios are equal

similar polygons

two polygons such that their corresponding angles are congruen…

Concavity

Convexity

If p-gram then...

If quad is a p-gram...

At least one angle in the shape is larger then 180

All angles in the shape are less then 180

-diagonals bisect each other... -pair of consecutive angles are s…

then both pairs of opposite sides are both parallel and congru…

Concavity

At least one angle in the shape is larger then 180

Convexity

All angles in the shape are less then 180

midsegment

midpoint

perpendicular bisector

equidistant

Connects the midpoints of two sides in a triangle. It is paral…

A point that divides a segment into two congruent pieces(in ha…

A line that is perpendicular to a segment at its midpoint (cut…

the same distance

midsegment

Connects the midpoints of two sides in a triangle. It is paral…

midpoint

A point that divides a segment into two congruent pieces(in ha…

Ratios

Geometric Means

Perimeter of similar polygon

Angle-Angle (AA) Similarity Postulate

Recipricol property- a/b= c/d then b/a=d/c... interchange propert…

a and b is positive solve for x. a/x = x/b. So X^2 = AB and x=…

If two polygons are similar, then the ratio of their perimeter…

If 2 angles of a triangle is congruent to 2 other angles of an…

Ratios

Recipricol property- a/b= c/d then b/a=d/c... interchange propert…

Geometric Means

a and b is positive solve for x. a/x = x/b. So X^2 = AB and x=…

midsegment

midpoint

perpendicular bisector

equidistant

Connects the midpoints of two sides in a triangle. It is paral…

A point that divides a segment into two congruent pieces (in h…

A line that is perpendicular to a segment at its midpoint (cut…

The same distance

midsegment

Connects the midpoints of two sides in a triangle. It is paral…

midpoint

A point that divides a segment into two congruent pieces (in h…

base of a trapezoid

base angle of a trapezoid

base angle of an isosceles triangle

complementary angles

The bases (top and bottom) of an isosceles trapezoid are paral…

Each lower base angle is supplementary to the upper base angle…

a triangle that has two sides of equal length. ... By the isos…

either of two angles whose sum is 90°.

base of a trapezoid

The bases (top and bottom) of an isosceles trapezoid are paral…

base angle of a trapezoid

Each lower base angle is supplementary to the upper base angle…

midsegment

midpoint

perpendicular bisector

equidistant

Connects the midpoints of two sides in a triangle. It is paral…

a point that divides a segment into two congruent pieces. (in…

a line that is perpendicular to a segment at its midpoint. (cu…

the same distance

midsegment

Connects the midpoints of two sides in a triangle. It is paral…

midpoint

a point that divides a segment into two congruent pieces. (in…

midsegment

midpoint

perpendicular bisector

equidistant

Connects the midpoints of two sides in a triangle. It is paral…

a point that divides a segment into two congruent pieces.

a line that is perpendicular to a segment at it's midpoint (cu…

the same distance

midsegment

Connects the midpoints of two sides in a triangle. It is paral…

midpoint

a point that divides a segment into two congruent pieces.

Each pair of angles adjacent to a base.

The two parallel sides of a trapezoid.

Angles of a polygon that share a common…

A polygon whose angles are all equal or…

Base Angles of a Trapezoid... Base angles of an isosceles trapezo…

Base of a Trapezoid

Consecutive Angles

Equiangular Polygon

Each pair of angles adjacent to a base.

Base Angles of a Trapezoid... Base angles of an isosceles trapezo…

The two parallel sides of a trapezoid.

Base of a Trapezoid

Interior Angles of a Quadrilateral

Opposite Sides of a Parallelogram Theor…

Opposite Angles of a Parallelogram Theo…

Consecutive Angles of a Parallelogram T…

The sum of the measures of the interior angles of a quadrilate…

If a quadrilateral is a parallelogram, then its opposite sides…

If a quadrilateral is a parallelogram, then its opposite angle…

If a quadrilateral is a parallelogram, then its consecutive an…

Interior Angles of a Quadrilateral

The sum of the measures of the interior angles of a quadrilate…

Opposite Sides of a Parallelogram Theor…

If a quadrilateral is a parallelogram, then its opposite sides…

midsegment

Midpoint

perpendicular ... bisector

equidistant

Connects the midpoints of two sides in a triangle. It is paral…

A point that divides a segment into two congruent pieces (in h…

A line that is perpendicular to a segment at its midpoint (cut…

The same distance

midsegment

Connects the midpoints of two sides in a triangle. It is paral…

Midpoint

A point that divides a segment into two congruent pieces (in h…

Polygon

Diagonal

Polygon Interior Angles Sum

Regular Polygon

a plane figure with at least three straight sides and angles,…

Segment that joins any two nonadjacent vertices of a polygon

Sum of interior angles (n-2)180

A polygon that is equiangular and equilateral

Polygon

a plane figure with at least three straight sides and angles,…

Diagonal

Segment that joins any two nonadjacent vertices of a polygon

Perp Bisector Theorum

Converse Perp Bisector Theorum

Angle Bisector Theorum

Converse Angle Bisector Theorum

If a point is on the perp bisector of a seg, then it is equidi…

If 2 points are each equidistant from the endpoints of a seg,…

If a point lies on the bisector of an angle, then the point is…

If a point in the interior of an angle is equidistant from the…

Perp Bisector Theorum

If a point is on the perp bisector of a seg, then it is equidi…

Converse Perp Bisector Theorum

If 2 points are each equidistant from the endpoints of a seg,…

Is A Polygon That Is Both Equilateral A…

A Parallelogram With Four Congruent Sid…

A Closed Plane Figure Formed By Three O…

A(n)_______ Is A Parallelogram With Fou…

Regular Polygon

Rhombus

Polygon

Square

Is A Polygon That Is Both Equilateral A…

Regular Polygon

A Parallelogram With Four Congruent Sid…

Rhombus

diagonal

median

rhombus

isosceles trapezoid

in a polygon, a segment that connects non consecutive vertices…

in a triangle, a segment with endpoints that are a vertex of a…

a quadrilateral with all 4 sides congruent

the legs are congruent, both pairs of base angles are congruen…

diagonal

in a polygon, a segment that connects non consecutive vertices…

median

in a triangle, a segment with endpoints that are a vertex of a…