Chapter 6

Question 0

Consecutive angles

Answer 0

Angles of a polygon that share a side are consecutive angles

Question 1

Theorem 6-1

Answer 1

Opposite sides of a parallelogram are congruent

Question 2

Theorem 6-2

Answer 2

Opposite angles of a parallelogram are congruent

Question 3

Theorem 6-3

Answer 3

The diagonals of a parallelogram bisect each other

Question 4

Theorem 6-4

Answer 4

If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal

Question 5

Theorem 6-5

Answer 5

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

Question 6

Theorem 6-6

Answer 6

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

Question 7

Theorem 6-7

Answer 7

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

Question 8

Theorem 6-8

Answer 8

If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram

Question 9

Parallelogram

Answer 9

A quadrilateral with both pairs of opposite sides parallel

Question 10

Rhombus

Answer 10

A parallelogram with 4 congruent sides

Question 11

Rectangle

Answer 11

A parallelogram with 4 right angles angles

Question 12

Square

Answer 12

A parallelogram with 4 congruent sides and 4 right angles

Question 13

Kite

Answer 13

A quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent

Question 14

Trapezoid

Answer 14

A quadrilateral with exactly one pair of parallel sides

Question 15

Isosceles trapezoid

Answer 15

A trapezoid whose non-parallel sides are congruent

Question 16

Theorem 6-9

Answer 16

Each diagonal of a rhombus bisects two angles of the rhombus

Question 17

Theorem 6-10

Answer 17

The diagonals of a rhombus are perpendicular

Question 18

Theorem 6-11

Answer 18

The diagonals of a rectangle are congruent

Question 19

Theorem 6-12

Answer 19

If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus

Question 20

Theorem 6-13

Answer 20

If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus

Question 21

Theorem 6-14

Answer 21

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle

Question 22

Base angles

Answer 22

Two angles that share a base of a trapezoid are base angles of the trapezoid

Question 23

Theorem 6-15

Answer 23

The base angles of an isosceles trapezoid are congruent

Question 24

Theorem 6-16

Answer 24

The diagonals of an isosceles trapezoid are congruent

Question 25

Theorem 6-17

Answer 25

The diagonals of a kite are perpendicular

Question 26

Midsegment of a trapezoid

Answer 26

The midsegment of a trapezoid is the segment that joins the midpoints of the non-parallel opposite sides

Question 27

Theorem 6-18

Answer 27

1. The midsegment of a trapezoid is parallel to the bases | 2. The length of the midsegment of a trapezoid is half the sum of the lengths of the bases