If a triangle has a 22° angle and a 46° angle, what can be established about the third angle measure and the type of triangle?(1 point)
Responses
The third angle measure is 112°, and the triangle is an obtuse triangle.
The third angle measure is 112 degrees , and the triangle is an obtuse triangle.
The third angle measure is 128°, and the triangle is an obtuse triangle.
The third angle measure is 128 degrees , and the triangle is an obtuse triangle.
The third angle measure is 112°, and the triangle is an acute triangle.
The third angle measure is 112 degrees , and the triangle is an acute triangle.
The third angle measure is 68°, and the triangle is an obtuse triangle.
15 answers
The third angle measure is 180° - (22° + 46°) = 180° - 68° = 112°, and the triangle is an obtuse triangle.
Can a triangle have two right angles, and why or why not?(1 point)
Responses
Yes, because 90 + 90 = 180.
Yes, because 90 plus 90 equals 180 .
No, because a triangle must have an obtuse angle.
No, because a triangle must have an obtuse angle.
Yes, because it would be a right triangle.
Yes, because it would be a right triangle.
No, because there needs to be a third angle.
Responses
Yes, because 90 + 90 = 180.
Yes, because 90 plus 90 equals 180 .
No, because a triangle must have an obtuse angle.
No, because a triangle must have an obtuse angle.
Yes, because it would be a right triangle.
Yes, because it would be a right triangle.
No, because there needs to be a third angle.
No, because the sum of the interior angles of a triangle is always 180 degrees. If two angles are already 90 degrees each, the sum would be 90 + 90 = 180 degrees, leaving no room for a third angle.
If a triangle has angles measuring 46°, 51°, and 83°, what type of triangle is it?(1 point)
Responses
right triangle
right triangle
obtuse triangle
obtuse triangle
acute triangle
acute triangle
small triangle
Responses
right triangle
right triangle
obtuse triangle
obtuse triangle
acute triangle
acute triangle
small triangle
The triangle with angles measuring 46°, 51°, and 83° is an acute triangle.
Use the figure to answer the question.
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?(1 point)
Responses
vertical angles
vertical angles
alternate interior angles
alternate interior angles
alternate exterior angles
alternate exterior angles
corresponding angles
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?(1 point)
Responses
vertical angles
vertical angles
alternate interior angles
alternate interior angles
alternate exterior angles
alternate exterior angles
corresponding angles
The relationship that can be established between angle 5 and angle 1 is that they are corresponding angles.
Question
Use the figure to answer the question.
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
What is the relationship between angle 6 and angle 7?(1 point)
Responses
corresponding angles
corresponding angles
vertical angles
vertical angles
alternate exterior angles
alternate exterior angles
alternate interior angles
Use the figure to answer the question.
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
What is the relationship between angle 6 and angle 7?(1 point)
Responses
corresponding angles
corresponding angles
vertical angles
vertical angles
alternate exterior angles
alternate exterior angles
alternate interior angles
The relationship between angle 6 and angle 7 is that they are alternate interior angles.
Use the figure to answer the question.
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
What is the relationship between angle 3 and angle 6?
(1 point)
Responses
alternate exterior angles
alternate exterior angles
alternate interior angles
alternate interior angles
vertical angles
vertical angles
corresponding angles
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
What is the relationship between angle 3 and angle 6?
(1 point)
Responses
alternate exterior angles
alternate exterior angles
alternate interior angles
alternate interior angles
vertical angles
vertical angles
corresponding angles
The relationship between angle 3 and angle 6 is that they are alternate exterior angles.
Use the figure to answer the question.
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
If angle 4 is 42° and lines M and N are parallel, give a reason why angle 5 is also 42°.
(1 point)
Responses
Angle 4 and angle 5 are vertical angles, so their measures are congruent.
Angle 4 and angle 5 are vertical angles, so their measures are congruent.
Angle 4 and angle 5 are interior angles, so their measures must be the same.
Angle 4 and angle 5 are interior angles, so their measures must be the same.
Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
If angle 4 is 42° and lines M and N are parallel, give a reason why angle 5 is also 42°.
(1 point)
Responses
Angle 4 and angle 5 are vertical angles, so their measures are congruent.
Angle 4 and angle 5 are vertical angles, so their measures are congruent.
Angle 4 and angle 5 are interior angles, so their measures must be the same.
Angle 4 and angle 5 are interior angles, so their measures must be the same.
Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
Use the figure to answer the question.
Two intersecting lines form an x and have four angles at the point of intersection labeled clockwise from the top: 1, 2, 3, and 4.
If angle 1 in the picture is 63° , what is the measure of angle 3? Why?
(1 point)
Responses
Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
There is not enough information in the figure to establish this.
There is not enough information in the figure to establish this.
Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are corresponding angles.
Angle 3 is 117° because angle 1 and angle 3 form a line.
Two intersecting lines form an x and have four angles at the point of intersection labeled clockwise from the top: 1, 2, 3, and 4.
If angle 1 in the picture is 63° , what is the measure of angle 3? Why?
(1 point)
Responses
Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
There is not enough information in the figure to establish this.
There is not enough information in the figure to establish this.
Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
Angle 3 is 63 degrees because angle 1 and angle 3 are corresponding angles.
Angle 3 is 117° because angle 1 and angle 3 form a line.
Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.