Geometric Relationships and Properties of Lines and Segments Quiz

Test your knowledge of equations, slopes, midpoints, and properties of lines and segments in geometry with this quiz.

Practice Learn Test

What is the equation of a line in slope-intercept form?

y = mx

y = mx + b

y = b

x = y

Which of the following pairs of lines are parallel?

y = 2x + 3 and y = 2x - 1

y = 3x - 2 and y = -3x + 5

y = x + 4 and y = -x - 4

y = 4x + 2 and y = -4x - 2

What is the slope of a line parallel to the x-axis?

Undefined

Any real number

In a Cartesian coordinate system, where is the origin located?

At (0, 0)

At (1, 1)

At (-1, -1)

At (-1, 0)

In a right-angled triangle, if one leg is 3 units long and the other is 4 units long, what is the length of the hypotenuse?

5 units

6 units

7 units

8 units

What is the equation of a line parallel to the y-axis?

x = 0

y = 0

x = 1

y = 1

What is the midpoint of the line segment with endpoints (2, 5) and (8, 11)?

(5, 8)

(6, 8)

(4, 6)

(7, 10)

Which of the following statements is true about perpendicular lines?

They have the same slope.

Their slopes are negative reciprocals.

They have equal lengths.

They intersect at a 90-degree angle.

What is the distance between the points (3, 4) and (7, 1)?

#10

Which of the following represents a vertical line?

y = 3x + 2

x = -4

y = -2

x + 2y = 5

#11

Which of the following represents the equation of a horizontal line?

y = 2x + 3

x = -4

y = -2

x + 2y = 5

#12

What is the formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2)?

(y2 - y1) / (x2 - x1)

(x2 - x1) / (y2 - y1)

(y1 - x1) / (y2 - x2)

(x1 - y1) / (x2 - y2)

#13

If two lines are perpendicular, what is the product of their slopes?

Undefined

#14

If two lines are parallel, what can be said about their slopes?

They are equal.

They are negative reciprocals.

They are reciprocals.

They are undefined.

#15

What are the coordinates of the point that divides the line segment with endpoints (-3, 5) and (7, -1) into two equal parts?

(2, 2)

(2, 3)

(2, -2)

(2, -3)

#16

Which of the following statements is true regarding concurrent lines?

They are always parallel.

They always intersect at the same point.

They are perpendicular to each other.

They form a closed shape.

#17

Which of the following is true about skew lines?

They are coplanar.

They intersect at more than one point.

They never intersect.

They form a right angle.