Unit 5: Quadrilaterals

Question 1

parallelogram

Answer 1

a quadrilateral with 2 pairs of opposite parallel sides

Question 2

parallelogram opposite angles theorem

Answer 2

opposite angles of a parallelogram are congruent

Question 3

parallelogram opposite sides theorem

Answer 3

opposite sides of a parallelogram are congruent

Question 4

parallelogram diagonals theorem

Answer 4

diagonals of a parallelogram bisect each other

Question 5

parallelogram opposite angles converse

Answer 5

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

Question 6

parallelogram opposite sides converse

Answer 6

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

Question 7

parallelogram diagonals converse

Answer 7

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

Question 8

parallelograms congruent and parallel theorem

Answer 8

if one pair of opposite sides are both congruent and parallel in a quadrilateral, the quadrilateral is a parallelogram

Question 9

triangle midsegment theorem

Answer 9

a midsegment is
1. parallel to the third side
2. half as long as the third side

so a midsegment is also a line that contains the midpoint of 1 side and is parallel to another side and will
3. pass through the third side’s midpoint

Question 10

midsegment

Answer 10

a segment that connects the midpoints of two sides of a triangle

Question 11

rectangle

Answer 11

a quadrilateral with 4 right angles (parallelogram, equiangular)

Question 12

rhombus

Answer 12

an equilateral quadrilateral (parallelogram, equilateral)

Question 13

square

Answer 13

an equiangular and equilateral quadrilateral (parallelogram)

Question 14

rectangular diagonal congruent theorem

Answer 14

the diagonals of a rectangle are congruent

Question 15

rhombus diagonal perpendicular theorem

Answer 15

the diagonals of a rhombus are perpendicular

Question 16

rhombus diagonal angle bisector theorem

Answer 16

the diagonals of a rhombus are angle bisectors

Question 17

midpoint of right triangle hypotenuse

Answer 17

the midpoint of the hypotenuse of a right triangle is equidistant from the 3 vertices

Question 18

1 right angle rectangle

Answer 18

if 1 angle of a parallelogram is a right angle, then it is a rectangle

Question 19

2 congruent consecutive sides

Answer 19

if 2 consecutive sides of a parallelogram are congruent, it is a rhombus

Question 20

Trapezoid

Answer 20

A quadrilateral with 1 pair of parallel sides
- parallel bases and not parallel legs
- not a parallelogram

Question 21

Isosceles trapezoid

Answer 21

A trapezoid with congruent legs; base angles are congruent

Question 22

Isosceles trapezoid theorem

Answer 22

Base angles of an isosceles trapezoid are congruent

Question 23

Trapezoid median theorem

Answer 23

The median of a trapezoid is
1: parallel to both bases
2: has a length equal to the base length’s average

Question 24

Trapezoid’s median

Answer 24

The segment joining the leg’s midpoints