WorksheetsUnit 2 Remediation - Geometry
Total questions: 80
Worksheet time: 40mins
In a triangle, an exterior angle measures 110°. What is the sum of the two opposite interior angles?
70°
110°
111°
100°
If one exterior angle of a triangle is 120°, and one of the opposite interior angles is 50°, what is the other opposite interior angle?
60°
70°
80°
90°
The exterior angle of a triangle is 95°, and one opposite interior angle is 40°. Find the other opposite interior angle.
45°
50°
55°
60°
An exterior angle measures 130°, and one of the opposite interior angles is 65°. What is the measure of the other opposite interior angle?
55°
60°
65°
70°
In a triangle, the exterior angle is 140°, and one opposite interior angle measures 45°. What is the measure of the other opposite interior angle?
85°
90°
The exterior angle of a triangle is 100°, and one of the opposite interior angles is 40°. Find the other opposite interior angle.
50°
60°
70°
80°
An exterior angle measures 105°, and one opposite interior angle is 55°. What is the other opposite interior angle?
40°
45°
50°
60°
The exterior angle of a triangle is 115°, and one opposite interior angle measures 60°. Find the other opposite interior angle.
40°
45°
55°
65°
An exterior angle measures 125°, and one opposite interior angle is 70°. What is the other opposite interior angle?
45°
50°
55°
60°
In a triangle, the exterior angle is 135°, and one opposite interior angle measures 80°. Find the other opposite interior angle.
45°
50°
55°
60°
The exterior angle of a triangle is 115°, and one opposite interior angle is 50°. What is the other opposite interior angle?
55°
60°
65°
70°
An exterior angle measures 110°, and one opposite interior angle is 45°. Find the other opposite interior angle.
55°
60°
65°
70°
In a triangle, the exterior angle is 125°, and one opposite interior angle is 60°. What is the measure of the other opposite interior angle?
55°
60°
65°
70°
The exterior angle of a triangle is 130°, and one opposite interior angle measures 50°. Find the other opposite interior angle.
70°
75°
80°
85°
An exterior angle measures 140°, and one opposite interior angle is 75°. What is the other opposite interior angle?
55°
60°
65°
70°
The exterior angle of a triangle is 120°, and one opposite interior angle is 55°. Find the other opposite interior angle.
55°
60°
65°
70°
In a triangle, the exterior angle measures 105°, and one opposite interior angle is 50°. What is the measure of the other opposite interior angle?
45°
50°
55°
60°
An exterior angle of a triangle measures 145°, and one opposite interior angle is 80°. What is the other opposite interior angle?
55°
60°
65°
70°
The exterior angle of a triangle is 110°, and one opposite interior angle measures 65°. Find the other opposite interior angle.
40°
45°
In a triangle, the exterior angle is 135°, and one opposite interior angle is 55°. What is the other opposite interior angle?
70°
75°
80°
85°
Two lines are crossed by a transversal. Which pair of angles are always congruent?
Vertical angles
Consecutive interior angles
Supplementary angles
Adjacent angles
When a transversal crosses parallel lines, which angles are congruent?
Alternate interior angles
Consecutive interior angles
Linear pairs
Adjacent angles
If two parallel lines are cut by a transversal, what is true about alternate exterior angles?
They are supplementary
They are congruent
They are complementary
They are vertical angles
Consecutive interior angles formed by a transversal crossing parallel lines are:
Supplementary
Congruent
Complementary
Vertical angles
Vertical angles are:
Always supplementary
Always congruent
Always complementary
Sometimes congruent
In parallel lines cut by a transversal, angle 3 and angle 6 are alternate interior angles. If angle 3 is 75°, what is angle 6?
75°
105°
90°
180°
If two lines are parallel and cut by a transversal, what is true about consecutive interior angles?
They are congruent
They sum to 180°
They are equal to 90° each
They are vertical angles
When two lines are crossed by a transversal, vertical angles measure 50°. What is the measure of the angle vertical to it?
50°
130°
90°
180°
If two parallel lines are cut by a transversal, which pair of angles is supplementary?
Alternate interior angles
Corresponding angles
Consecutive interior angles
Alternate exterior angles
In parallel lines cut by a transversal, angle 2 and angle 7 are alternate exterior angles. If angle 2 is 110°, what is angle 7?
70°
110°
90°
180°
If vertical angles measure x degrees, what is the measure of its vertical angle?
x + 10
x
180 − x
90 − x
When a transversal crosses parallel lines, what is true about alternate interior angles?
They are supplementary
They are congruent
They are complementary
They form linear pairs
Consecutive interior angles add up to:
90°
180°
270°
360°
Vertical angles are formed by:
Alternate exterior angles
Vertical angles
Consecutive interior angles
Alternate interior angles
In the figure with two parallel lines cut by a transversal, angle 4 is 65°. What is the measure of the alternate interior angle to angle 4?
65°
115°
90°
180°
If two parallel lines are cut by a transversal, which of the following pairs are NOT necessarily congruent?
Alternate exterior angles
Vertical angles
Consecutive interior angles
Alternate interior angles
If vertical angles are supplementary, what can you conclude?
The lines are parallel
The lines are perpendicular
The lines intersect at 90°
This situation cannot happen
When a transversal crosses parallel lines, the sum of consecutive interior angles is:
90°
180°
270°
360°
If two lines are parallel and cut by a transversal, the alternate exterior angles are:
Parallel lines
A transversal
Two intersecting lines
Consecutive interior angles
Vertical angles are formed when two lines:
Are parallel
Intersect
Are perpendicular
Are skew
Line 1 has slope 3 and Line 2 has slope 3. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 2 and Line 2 has slope -1/2. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 0 and Line 2 has slope undefined. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 4 and Line 2 has slope 1. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope -3/4 and Line 2 has slope 4/3. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 5 and Line 2 has slope 5. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 2/3 and Line 2 has slope -3/2. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope -1 and Line 2 has slope 1. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 0 and Line 2 has slope 0. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope undefined and Line 2 has slope undefined. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 7 and Line 2 has slope -1/7. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 3 and Line 2 has slope -3. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 1/2 and Line 2 has slope 1/2. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope -4 and Line 2 has slope 1/4. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 0 and Line 2 has slope 2. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope undefined and Line 2 has slope 0. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope -5/6 and Line 2 has slope 6/5. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 1 and Line 2 has slope 0. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope 2 and Line 2 has slope 3. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Line 1 has slope -3/2 and Line 2 has slope 2/3. What is the relationship between the lines?
Parallel
Perpendicular
Neither
Same line
Find the equation of the line parallel to y = 3x + 4 and passing through (2, 5).
y = 3x + 2
y = 3x - 1
y = -1/3x + 5
y = -3x + 11
Find the equation of the line perpendicular to y = (1/2)x - 3 and passing through (4, 1).
y = -2x + 9
y = 2x - 7
y = (1/2)x + 3
y = -(1/2)x + 1
What is the equation of the line parallel to y = -4x + 1 passing through (3, -2)?
y = -4x + 10
y = 4x - 14
y = -(1/4)x + 3
y = -4x - 2
Find the equation of the line perpendicular to y = 5x + 6 and passing through (1, 0).
y = -(1/5)x + 1/5
y = -5x + 5
y = (1/5)x - 1
y = 5x - 5
What is the equation of the line parallel to y = (3/4)x - 2 passing through (0, 1)?
y = (3/4)x + 1
y = -(4/3)x + 1
y = (3/4)x - 1
y = (3/4)x - 3
Find the equation of the line perpendicular to y = -2/3x + 7 and passing through (-3, 4).
y = 3/2x + 17/2
y = -3/2x + 2
y = 2/3x - 5
y = -2/3x + 4
What is the equation of the line parallel to y = 6x + 1 passing through (2, -3)?
y = 6x + 9
y = 6x - 15
y = -1/6x + 9
y = 6x - 3
Find the equation of the line perpendicular to y = -7x + 2 passing through (1, 6).
y = 1/7x + 41/7
y = 7x - 1
y = -1/7x + 41/7
y = 1/7x - 41/7
What is the equation of the line parallel to y = x - 5 passing through (3, 1)?
y = x - 2
y = x + 2
y = -x + 4
y = -x - 2
Find the equation of the line perpendicular to y = (5/2)x + 1 passing through (-2, 3).
y = -(2/5)x + 11/5
y = (2/5)x - 1/5
y = -(5/2)x + 3
y = -(2/5)x - 11/5
What is the equation of the line parallel to y = -3x + 8 passing through (0, 0)?
y = -3x
y = 3x
y = -(1/3)x
y = 3x + 8
Find the equation of the line perpendicular to y = (4/3)x - 2 passing through (3, 1).
y = -(3/4)x + 13/4
y = (3/4)x + 13/4
y = -(4/3)x + 3
y = (4/3)x - 3
What is the equation of the line parallel to y = 2x + 5 passing through (-1, -3)?
y = 2x - 1
y = 2x + 7
y = -(1/2)x - 3
y = 2x - 5
Find the equation of the line perpendicular to y = -1/2x + 4 passing through (2, 3).
y = 2x - 1
y = -2x + 7
y = 2x + 1
y = -1/2x + 3
What is the equation of the line parallel to y = 7/5x - 3 passing through (5, 2)?
y = 7/5x - 5
y = 7/5x + 5
y = -5/7x + 2
y = -7/5x - 5
Find the equation of the line perpendicular to y = 3x + 1 passing through (0, -4).
y = -1/3x - 4
y = 1/3x - 4
y = -3x - 4
y = 1/3x + 4
What is the equation of the line parallel to y = -5x + 3 passing through (1, -2)?
y = 5x + 3
y = -5x + 3
y = -5x - 3
y = 5x - 3
Find the equation of the line perpendicular to y = (2/7)x - 1 passing through (-7, 0).
y = -(7/2)x - 25
y = (7/2)x + 25
y = -(7/2)x + 1
y = (7/2)x - 25
What is the equation of the line parallel to y = 0.5x + 6 passing through (4, 8)?
y = 0.5x + 6
y = -0.5x + 6
y = 0.5x - 6
y = -0.5x - 6
Find the equation of the line perpendicular to y = -(3/4)x + 2 passing through (4, 1).
y = (4/3)x - 13/3
y = -(4/3)x + 5
y = (3/4)x + 1
y = -(3/4)x + 1
