Geometry Vocabulary 2024

The diagonals of a rectangle are

congruent and bisect each other

The diagonals of a rhombus are

perpendicular

diagonals of a square

congruent, bisect each other, perpendicular, bisect vertex angles

Diagonals of a parallelogram

bisect each other

Sides of a rhombus

all sides are congruent and opposite sides are parallel

sides of a kite

2 pairs of consecutive sides are congruent

angles of a kite

1 pair of opposite angles are congruent

diagonals of a kite

are perpendicular

Parallelogram

Def: a quadrilateral with 2 pairs of opposite sides parallel

Properties:
-Opposite sides congruent
-Opposite angles congruent
-Consecutive angles are supplementary
-diagonals bisect each other (same midpoint)

Rectangle

Def: a parallelogram (2 pairs of parallel sides) with 4 right angles

Properties:
-Opposite sides congruent
-4 right angles
-Consecutive angles are supplementary
-diagonals bisect each other (same midpoint)
-diagonals are congruent

rhombus (plural: rhombi)

Def: a parallelogram (2 pairs of parallel sides) with 4 congruent sides

Properties:
-All sides congruent
-Opposite angles congruent
-Consecutive angles are supplementary
-diagonals bisect each other (same midpoint)
-diagonals bisect vertex angles
-diagonals are perpendicular

Square

Def: a parallelogram (2 pairs of parallel sides) with 4 right angles AND 4 congruent sides

Properties:
-ALL sides congruent
-4 right angles
-Consecutive angles are supplementary
-diagonals bisect each other (same midpoint)
-diagonals are congruent AND perpendicular
-diagonals bisect vertex angles

Trapezoid

Def: a quadrilateral with ONE pair of parallel sides

Properties:
-Angles on a leg are supplementary
-midsegment (median) is average of the bases

Isosceles Trapezoid

Def: a quadrilateral with ONE pair of parallel sides and one pair of congruent sides

Properties:
-Angles on a leg are supplementary
-Legs are congruent
-Base angles are congruent
-Diagonals are congruent
-midsegment (median) is average of the bases

Kite

Def: a quadrilateral with NO pairs of parallel sides

Properties:
-2 pairs of consecutive congruent sides
-diagonals are perpendicular
-longer diagonal bisects the shorter diagonal (and vertex angles)
-1 pair of opposite angles congruent

sides of a square

all sides are congruent and opposite sides are parallel

Sides of a rectangle

Opposite sides are congruent and parallel

sides of a trapezoid

one pair of parallel sides

Angles in a Parallelogram

Opposite Angles are Congruent.
Consecutive Angles are Supplementary.

Angles in a square

4 right angles

Dialations

a transformation that changes the size of a figure but not its shape. It involves stretching or shrinking the original figure by a certain scale factor.

In order for two polygons to be similiar all of their corresponding angles must have corresponding ______ and must be __________

sides, proportional

Proportions are used to solve for?

Missing sides of similar figures.

A well scaled figure has corresponding angles that are _____ that are ____________

sides,proportional

When lines are dialated, they are?

paralell

The constant of proportionality is called the?

scale factor

Slope formula

New/Old

Dialation Rule?

Big/Little or Right/Leftb

Dilation steps

1.Mark the center of dilation

2.Count from the center of each vertex

3.Multiply by the Scale Factor and plot from the center of dilation

4.Determine the new coordinate from the origin.

When two figures have the same shape but not the same size they are?

similar (~)

Two figures are similar if and only if one figure can be?

Transformed

Angle-Angle Similarity(AA~)

If two angles of one triangle are congruent to two angles of another triangle, then the two are congruent.

Side-Side-Side Similarity(SSS~)

If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar.

Side-Angle-Side Similarity (SAS~)

If the measure of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and the included angles are congruent, then the two triangles are similar.

If two triangles are similar, then the measures of the corresponding _____________ are proportional to the measures of the corresponding sides (and perimeter)

Altitudes