geometry: chapter 5

Question 0

Parallelogram

Answer 0

A quadrilateral with both pairs of opposite sides parallel

Question 1

Quadrilateral

Answer 1

A four sided polygon

Question 2

Theorem 5-1

Answer 2

Opposite sides of a parallelogram are congruent

Question 3

Theorem 5-2

Answer 3

Opposite angles of a parallelogram are congruent

Question 4

Theorem 5-3

Answer 4

Diagnose of a parallelogram bisect each other

Question 5

Theorem 5-4

Answer 5

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

Question 6

Theorem 5-5

Answer 6

If one pair of opposite sides of a quadrilateral are both congruent and parallel than the quadrilateral is a parallelogram

Question 7

Theorem 5-6

Answer 7

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

Question 8

Theorem 5-7

Answer 8

If the diagonals of a quadrilateral bisect each other than the quadrilateral is a parallelogram

Question 9

Five ways to prove that a quadrilateral is a parallelogram

Answer 9

show that both pairs of opposite sides are parallel
Show that both pairs of opposite sides are congruent
Show that one pair of opposite sides are both congruent and parallel
Show that both pairs of opposite angles are congruent
Show that the diagonals bisect each other

Question 10

Theorem 5-8

Answer 10

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

Question 11

Theorem 5-9

Answer 11

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

Question 12

Theorem 5-10

Answer 12

A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side

Question 13

Theorem 5-11

Answer 13

The segment that joins the midpoint of two sides of a triangle is
Parallel to the third side
Half as long is the third

Question 14

Rectangle

Answer 14

A quadrilateral with four right angles

Question 15

Rhombus

Answer 15

Quadrilateral with four congruent sides

Question 16

Square

Answer 16

A quadrilateral with four right angles and four congruence

Question 17

Theorem 5-12

Answer 17

The diagonals of a rectangle are congruent

Question 18

Theorem 5-13

Answer 18

The diagonals of around this are perpendicular

Question 19

Theorem 5-14

Answer 19

Each diagonal of a rhombus bisects two angles of the rhombus

Question 20

Theorem 5-15

Answer 20

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

Question 21

Theorem 5-16

Answer 21

if an angle of the parallelogram is a right angle then the parallelogram is a rectangle

Question 22

Theorem 5-17

Answer 22

If two consecutive sides of a parallelogram are congruent then parallelogram is a rhombus

Question 23

Trapezoid

Answer 23

Why gelato with exactly one pair of parallel sides

Question 24

Bases

Answer 24

The parallel sides of the trapezoid

Question 25

Legs

Answer 25

The other side of the trapezoid

Question 26

Isosceles trapezoid

Answer 26

A trapezoid with congruent legs

Question 27

Theorem 5-18

Answer 27

Base angles of an isosceles trapezoid are congruent

Question 28

Median of a trapezoid

Answer 28

Segment that joins the midpoint of the legs

Question 29

Theorem 5-19

Answer 29

Median of a trapezoid
Is parallel to the bases
Has a length equal to the average of the base lengths