#### Study sets matching "geometry chapter 6"

#### Study sets matching "geometry chapter 6"

Ratio

Proportion

Means

Extremes

Comparison of two numbers, a/b, a:b, a to b

equation that sets two ratios equal

denominator of first ratio, numerator of second ratio

Numerator of first ratio, denominator of second ratio

Ratio

Comparison of two numbers, a/b, a:b, a to b

Proportion

equation that sets two ratios equal

Polygon angle-sum theorem

Equilateral polygon

Equianlgular polygon

Regular polygon

The sum of the measures of the interior angles of an n-gon is…

All sides are congruent

All angles are congruent

All sides and angles are congruent

Polygon angle-sum theorem

The sum of the measures of the interior angles of an n-gon is…

Equilateral polygon

All sides are congruent

both pairs of opposite sides are paral…

exactly one pair of opposite sides are…

diagonals are perpendicular

diagonals are congruent

parallelogram, rectangle, rhombus, square

trapezoid

rhombus, square, kite

square, trapezoid (only for isosceles triangle)

both pairs of opposite sides are paral…

parallelogram, rectangle, rhombus, square

exactly one pair of opposite sides are…

trapezoid

polygon

concave polygon

convex polygon

equilateral polygon

a closed figure in a single plane formed by three or more seg…

continued sides intersect eachother

continued sides do not intersect

all sides are congruent

polygon

a closed figure in a single plane formed by three or more seg…

concave polygon

continued sides intersect eachother

4 Ways To Determine a Plane

If a line ____________ a plane not ___…

If two ________ intersect, their _____…

A Line Perpendicular To A Plane

1. 3 noncollinear points determine a plane.... 2. A line and a p…

If a line intersects a plane not containing it, then the inte…

If two planes intersect, their intersection is exactly one li…

A line is perpendicular to a plane if it is perpendicular to…

4 Ways To Determine a Plane

1. 3 noncollinear points determine a plane.... 2. A line and a p…

If a line ____________ a plane not ___…

If a line intersects a plane not containing it, then the inte…

Bases

Diagonal

Legs

Median

The parallel sides of a trapezoid

The line segment that connects opposite vertex angles in a po…

The non-parallel sides of a trapezoid

The line segment that connects the midpoints of legs of a tra…

Bases

The parallel sides of a trapezoid

Diagonal

The line segment that connects opposite vertex angles in a po…

diagonal

isosceles trapezoid

kite

median

segment that connects any two nonconsecutive vertices

trapezoid where the legs are congruent, both pairs of base an…

a quadrilateral with exactly two distinct pairs of adjacent c…

segment that joins the midpoint of the legs

diagonal

segment that connects any two nonconsecutive vertices

isosceles trapezoid

trapezoid where the legs are congruent, both pairs of base an…

Polygon Angle Sum Theorem

Corollary to Polygon Angle Sum Theorem

Polygon Exterior Angle Theorem

Regular Polygon

The sum of the interior measures of an n-gon is (n-2)180

The measure of each interior angle of a regular polygon is (n…

The sum of the measures of the exterior angles of a polygon,…

Equilateral and Equiangular polygons

Polygon Angle Sum Theorem

The sum of the interior measures of an n-gon is (n-2)180

Corollary to Polygon Angle Sum Theorem

The measure of each interior angle of a regular polygon is (n…

Properties of Parallelogram

Properties of Parallelogram

Properties of Parallelogram

Properties of Parallelogram

Each diagonal forms two congruent triangles

The diagonal intersect at the midpoints/bisect each other

Opposite sides are congruent

One pair of opposite sides is parallel and congruent

Properties of Parallelogram

Each diagonal forms two congruent triangles

Properties of Parallelogram

The diagonal intersect at the midpoints/bisect each other

similar triangles

angle-angle similarity theorem

side-side-side similarity theorem

included angle

triangles that have all pairs of corresponding angles congrue…

"if two angles of one triangle are congruent to two angles of…

"if all three corresponding sides of two triangles are propor…

angle formed by two consecutive sides of a figure

similar triangles

triangles that have all pairs of corresponding angles congrue…

angle-angle similarity theorem

"if two angles of one triangle are congruent to two angles of…

CLASSIFYING QUADRILATERALS... Parallelogram

CLASSIFYING QUADRILATERALS... Rhombus

CLASSIFYING QUADRILATERALS... Square

CLASSIFYING QUADRILATERALS... Rectangle

2 pairs of opposite sides parallel + congruent

Parallelogram w/ four congruent sides

Parallelogram w/ four fight angles + four congruent sides

Parallelogram w/ four right angles

CLASSIFYING QUADRILATERALS... Parallelogram

2 pairs of opposite sides parallel + congruent

CLASSIFYING QUADRILATERALS... Rhombus

Parallelogram w/ four congruent sides

Parallelogram

Rectangle

Rhombus

Square

Opposite sides are parallel and congruent

Diagonals are congruent and 4 right angles

Diagonals are perpendicular and sides are congruent

Diagonals are perpendicular/congruent and two pairs of consec…

Parallelogram

Opposite sides are parallel and congruent

Rectangle

Diagonals are congruent and 4 right angles

midsegment (6.4)

midpoint (1.3)

perpendicular bisector (6.1)

equidistant (6.1)

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

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 (6.4)

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

midpoint (1.3)

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 para…

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

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 para…

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 para…

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 para…

Midpoint

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

midsegment

midpoint

perpendicular bisector

equidistant

Connect 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

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

midpoint

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

midsegment (6.4)

midpoint (1.3)

perpendicular bisector (6.1)

equidistant (6.1)

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

a point that divides a segment into two congruent pieces

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

the same distance

midsegment (6.4)

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

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 para…

A point that divides a segment into two congruent pieces

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 para…

midpoint

A point that divides a segment into two congruent pieces

Polygon

Convex Polygon

Concave Polygon

Diagonal of a Polygon

a closed plane figure formed by three or more sides such that…

-no diagonal contains points in the extension... -extending any…

-indented... -diagonal will contain exterior points... -interior is…

any segment joining NON-consecutive vertices

Polygon

a closed plane figure formed by three or more sides such that…

Convex Polygon

-no diagonal contains points in the extension... -extending any…

Triangle

Acute (triangle)

Right (triangle)

Obtuse (triangle)

a closed figure with three sides

a triangle with three acute angles

a triangle with one right angle

a triangle with one obtuse angle

Triangle

a closed figure with three sides

Acute (triangle)

a triangle with three acute angles