Geometry Test #6

Question 1

Distance Formula

Answer 1

d = √((x2 - x1)^2 + (y2 - y1)^2)

Question 2

Slope Formula

Answer 2

m = (y2 - y1) / (x2 - x1)

Question 3

Midpoint Formula

Answer 3

(x1 + x2)/2, (y1 + y2)/2

Question 4

Slope-Intercept Form

Answer 4

y = mx + b (m is the slope, b is the y-intercept)

Question 5

Point-Slope Form

Answer 5

y - y1 = m(x - x1)
(m is the slope, (x1, y1) is a point on the line)

Question 6

Standard Form

Answer 6

Ax + By = C (A, B, C are constants)

Question 7

Parallelogram

Answer 7

opposite sides are parallel and equal in length

Question 8

Rectangle

Answer 8

four right angles and opposite sides are equal in length

Question 9

Rhombus

Answer 9

all sides are equal in length and opposite angles are equal

Question 10

Square

Answer 10

four right angles and all sides are equal in length

Question 11

Trapezoid

Answer 11

exactly one pair of opposite sides are parallel

Question 12

Ways of Proving Congruent Triangles:

Answer 12

SSS
SAS
ASA
AAS
HL (for right angles)

Question 13

CPCTC

Answer 13

Corresponding parts of congruent triangles are congruent

Question 14

Isosceles Triangle Definition

Answer 14

A triangle that has at least 2 congruent sides

Question 15

Isosceles Triangle Theorem

Answer 15

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Question 16

Converse of the Isosceles Triangle Theorem

Answer 16

If 2 angles of a triangle are congruent, then the sides opposite them are congruent.

Question 17

Median

Answer 17

connects a vertex of a triangle to the midpoint of the opposite side.

Question 18

Altitude

Answer 18

connects a vertex of a triangle to the opposite side and is perpendicular to it.

Question 19

Angle Bisector

Answer 19

divides an angle into two congruent angles.

Question 20

Perpendicular Bisector

Answer 20

bisects a line segment and is perpendicular to it.

Question 21

Medians

Answer 21

Centroid

Question 22

Altitudes

Answer 22

Orthocenter

Question 23

perpendicular bisectors

Answer 23

Circumcenter

Question 24

angle bisectors

Answer 24

Incenter

Question 25

Opposite sides of a ____ are congruent.

Answer 25

Opposite sides of a parallelogram are congruent

Question 26

Opposite angles of a ___ are congruent

Answer 26

Opposite angles of a parallelogram are congruent

Question 27

Diagonals of a parallelogram ___ each other

Answer 27

Diagonals of a parallelogram bisect each other

Question 28

If both pairs of a quadrilateral are congruent, then the quadrilateral is a ___

Answer 28

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

Question 29

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

Answer 29

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

Question 30

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

Answer 30

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

Question 31

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

Answer 31

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

Question 32

If two lines are parallel, then all points on one line are __ from the other line.

Answer 32

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

Question 33

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

Answer 33

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

Question 34

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.

Answer 34

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 35

The segment that joins the midpoints of two sides of a triangle…
(1) is parallel to the third side
(2) is half as long as the third side.

Answer 35

The segment that joins the midpoints of two sides of a triangle…
(1) is parallel to the third side
(2) is half as long as the third side

Question 36

The diagonals of a rectangle are __.

Answer 36

The diagonals of a rectangle are congruent.

Question 37

The diagonals of a rhombus are __.

Answer 37

The diagonals of a rhombus are perpendicular.

Question 38

Each diagonal of a rhombus _______.

Answer 38

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

Question 39

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

Answer 39

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

Question 39

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

Answer 39

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

Question 40

If an angle of a __ is a right angle, then the __ is a __.

Answer 40

If the angle of a parallelogram is a right angle, then the parallelogram is a rectangle.

Question 41

If two consecutive sides of a __ are congruent, then the __ is a __.

Answer 41

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

Question 42

Base angles of an ___ are congruent.

Answer 42

Base angles of an isosceles trapezoid are congruent.