unit 5 stuff idk man

Question 1

Parallelogram

Answer 1

A quadrilateral w/ both pairs of opp. sides parallel

Question 2

If a quadrilateral is a parallelogram (1)

Answer 2

Then the opp. sides are congruent

Question 3

If a quadrilateral is a parallelogram (2)

Answer 3

Then opp. angles are congruent

Question 4

If a quadrilateral is a parallelogram (3)

Answer 4

Then its diagonals bisect each other

Question 5

If both pairs of opp. sides of a quad. are congruent,

Answer 5

Then the quad. is a parallelogram

Question 6

If both pairs of opp. angles of a quad. are congruent

Answer 6

Then the quad. is a parallelogram

Question 7

If the diagonals of a quad. bisect each other,

Answer 7

Then the quad. is a parallelogram

Question 8

If one pair of opp. sides of a quad are both congruent and parallel,

Answer 8

Then the quad. is a parallelogram

Question 9

If two lines are parallel

Answer 9

Then all points on one line are equidistant from the other line

Question 10

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

Answer 10

Then they cut off congruent segments on every transversal

Question 11

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

Answer 11

passes through the midpoint of the third side

Question 12

The segment that joins the midpoints of two sides of a triangle is (2 THINGS)

Answer 12

1. Parallel to the third side
2. Is half as long as the third side

Question 13

Rectangle (DEF)

Answer 13

A quad. with 4 right angles

Question 14

Rhombus (DEF)

Answer 14

A quad. with 4 congruent sides

Question 15

Square (DEF)

Answer 15

A quad. with 4 right angles and 4 congruent sides

Question 16

The diagonals of a rectangle-

Answer 16

-are congruent

Question 17

The diagonals of a rhombus-

Answer 17

-are perpendicular

Question 18

Each diagonal of a rhombus bisects-

Answer 18

-two angles of the rhombus

Question 19

The diagonals of a parallelogram-

Answer 19

-bisect each other

Question 20

The midpoint of the hypotenuse of a right triangle is-

Answer 20

-equidistant from the 3 vertices

Question 21

If an angle of a parallelogram is a right angle,

Answer 21

Then the parallelogram is a rectangle (HAS to be a parallelogram)

Question 22

If 2 consecutive sides of a parallelogram are congruent,

Answer 22

Then the parallelogram is a rhombus

Question 23

EX: In parallelogram ABCD, the diagonals meet at point E and AE=6, and BE+6. IS ABCD a rectangle?

Answer 23

Yes, because a parallelogram w/ congruent diagonals mean its a rectangle

Question 24

ES: You cut a parallelogram shaped quilt piece and measure the diagonals to be congruent. What is the shape?

Answer 24

Rectangle because the diagonals of the parallelogram are congruent

Question 25

An angle formed by the diagonals of the quilt piece measures 90 degrees. Is the shape a square?

Answer 25

Yes, cuz its a rectangle and a rhombus at the same time

Question 26

Trapezoid (DEF)

Answer 26

quad. with exactly one pair of parallel sides

Question 27

Base (TRAPEZOID DEF)

Answer 27

Parallel sides

Question 28

Leg (TRAPEZOID DEF)

Answer 28

Non-parallel sides

Question 29

Isosceles Trapezoid

Answer 29

A trapezoid with congruent legs

Question 30

Base angles of an isosceles trapezoid are-

Answer 30

-congruent

Question 31

Median of a trapezoid

Answer 31

The segment that joins the midpoints of the legs

Question 32

The median of a trapezoid- (2 THINGS)

Answer 32

1. Is parallel to the bases
2. Has a length equal to the average of the base lengths

Question 33

FAMILY TREE!!!

Answer 33

Polygons
↓
Quadrilaterals
↙ ↘
Parallelograms Trapezoids
↙ ↘ ↓
Rectangles Rhombus Isosceles Trapezoids
↘ ↙
Square