Geometry: Ch. 6 Vocab & Thms

Question 0

Rhombus

Answer 0

Equilateral parallelogram

Question 1

Parallelogram

Answer 1

Quadrilateral with both pairs of opposite sides parallel

Question 2

Rectangle

Answer 2

Equiangular parallelogram

Question 3

Square

Answer 3

Regular parallelogram

Question 4

Kite

Answer 4

Quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent

Question 5

Trapezoid

Answer 5

Quadrilateral with one pair of parallel sides

Question 6

Isosceles trapezoid

Answer 6

Trapezoid with nonparallel sides congruent

Question 7

Consecutive angles

Answer 7

Angles of a polygon that share a side

Question 8

Base angles (trapezoid)

Answer 8

Two angles that share a base of a trapezoid

Question 9

Base (trapezoid)

Answer 9

The parallel sides of a trapezoid

Question 10

Legs (trapezoid)

Answer 10

The non parallel side of a trapezoid

Question 11

Midsegment of a trapezoid

Answer 11

The segment that joins the midpoints of the nonparallel opposite sides

Question 12

Parallelogram Side Theorem

Answer 12

Opposite sides of a parallelogram are congruent

Question 13

Parallelogram Angle Theorem

Answer 13

Opposite angles of a parallelogram are congruent

Question 14

Parallelogram Diagonal Theorem

Answer 14

The diagonals of a parallelogram bisect each other

Question 15

Tri-Parallel Line Theorem

Answer 15

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

Question 16

Converse of the Parallelogram Diagonal Theorem

Answer 16

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

Question 17

Converse of the Parallelogram Side Theorem

Answer 17

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

Question 18

Converse of the Parallelogram Angle Theorem

Answer 18

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

Question 19

Rhombus Diagonal Theorem

Answer 19

Each diagonal of a rhombus bisects two angles of the rhombus.

Question 20

Rectangle Diagonal Theorem

Answer 20

The diagonals of a rectangle are congruent

Question 21

Converse of the Rhombus Diagonal Theorem

Answer 21

If one diagonal of a parallelogram bisects two angles of the parallelogram, the the parallelogram is a rhombus.
If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

Question 22

Converse of the Rectangle Diagonal Theorem

Answer 22

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

Question 23

Isosceles Trapezoid Theorem

Answer 23

The base angles of an isosceles trapezoid are congruent

The diagonals of an isosceles trapezoid are congruent.

Question 24

Kite Diagonal Theorem

Answer 24

The diagonals of a kite are perpendicular

Question 25

Trapezoid Midsegment Theorem

Answer 25

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