Math: Unit 5

Front 1

Parallelogram

Back 1

A quadrilateral with both pairs of opposite sides parallel

Front 2

Theorem 5-1

Back 2

Opposite sides of a parallelogram are congruent

Front 3

Theorem 5-2

Back 3

Oppositeangles of a parallelogram are congruent

Front 4

Theorem 5-3

Back 4

Diagonals of a parallelogram bisect each other

Front 5

Theorem 5-4

Back 5

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

Front 6

Theorem 5-5

Back 6

If one pair of opposite sides of a quadrilateral are congruent, then the quadrilater is a parallelogram

Front 7

Theorem 5-6

Back 7

If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram

Front 8

Theorem 5-7

Back 8

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram

Front 9

Theorem 5-8

Back 9

If 2 lines are parallel, then all points on one line are equidistant from the other line

Front 10

Theorem 5-9

Back 10

If 3 parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal

Front 11

Theorem 5-10

Back 11

A line that contains the midpoint of one side of a triangle and is parallel to another side, then it passes through the midpoint of the other side

Front 12

Midsegment Theorem

Back 12

The segment that joins the midpoint of a triangle is:
1. parallel to 3rd side
2. 1/2 as long as 3rd side

Front 13

Rectangle

Back 13

Quadrilateral with four right angles

Front 14

Rhombus

Back 14

Quadrilateral with four congruent sides

Front 15

Square

Back 15

Quadrilateral with four right angles and four congruent sides

Front 16

Theorem 5-12

Back 16

The diagonals of a rectangle are congruent

Front 17

Theorem 5-13

Back 17

The diagonals of a rhombus are perpendicular

Front 18

Theorem 5-14

Back 18

Each diagonal of a rhombus bisects two angles of the rhombus

Front 19

Theorem 5-15

Back 19

The midpoint of the hypotoneuse of a right triangle is equidistant from the three vertices

Front 20

Theorem 5-16

Back 20

If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle

Front 21

Theorem 5-17

Back 21

If 2 consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus

Front 22

Trapezoid

Back 22

Quadrilateral with exactly one pair of parallel sides

Front 23

Bases

Back 23

Parallel sides in a trapezoid

Front 24

Legs

Back 24

Sides of a trapezoid

Front 25

Isosceles trapezoid

Back 25

Trapezoid with congruent legs

Front 26

Theorem 5-18

Back 26

Base angles of an isosceles trapezoid are congruent

Front 27

Median of a trapezoid

Back 27

Segment that joins the midpoints of the legs of a trapezoid

Front 28

Theorem 5-19

Back 28

The median of a trapezoid
1. is parallel to the bases
2. has a length equal to the average of the base lengths