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Example Questions
Example Question #1471 : Concepts
What is the total degrees of the angles in a square?
A square has four right angles which each have
degrees.To get the total you just multiple the measure of one by
to get.
Example Question #11 : Plane Geometry
Angle
measuresis the bisector of
is the bisector of
What is the measure of
?
Let's begin by observing the larger angle.
is cut into two 10-degree angles by . This means that angles and equal 10 degrees. Next, we are told that bisects , which creates two 5-degree angles. consists of , which is 10 degrees, and , which is 5 degrees. We need to add the two angles together to solve the problem.
Example Question #1472 : Concepts
If
, , and , what is the measure, in degrees, of ?
122
62
148
58
32
148
The question states that
. The alternate interior angle theorem states that if two parallel lines are cut by a transversal, then pairs of alternate interior angles are congruent; therefore, we know the following measure:
The sum of angles of a triangle is equal to 180 degrees. The question states that
; therefore we know the following measure:
Use this information to solve for the missing angle:
The degree measure of a straight line is 180 degrees; therefore, we can write the following equation:
The measure of
is 148 degrees.Example Question #1472 : Concepts
What is the slope of a line through the points
and ?
Undefined slope
Use the slope fomula, setting
Example Question #1474 : Concepts
In which quadrant, or on which axis, is the point with coordinates
located?Quadrant II
The
-axisQuadrant III
Quadrant IV
Quadrant I
Quadrant IV
Any point with a positive
-coordinate and a negative -coordinate is located in the lower right quadrant - Quadrant IV.Example Question #292 : Geometry
Which of the following is an equation of a line with slope 0?
A line with slope 0 has equation
for some real value .Example Question #293 : Geometry
Give the equation of the red line in slope-intercept form.
The slope of the line is
The
-intercept of the line has -coordinateThe slope-intercept form can be written:
Replace:
Example Question #294 : Geometry
The green and blue lines are perpendicular: What is the slope of the blue line?
It cannot be determined from the information given.
The slope of the blue line, being perpendicular to the green line, is the opposite of the reciprocal of the slope of the green line. The slope of the green line can be found using the slope formula:
The opposite of the reciprocal of
is 3, and this is the slope of the blue line.Example Question #1 : How To Find The Midpoint Of A Line Segment
A line segment on the coordinate plane has endpoints
and . In terms of and , as applicable, give the -coordinate of its midpoint.
The
-coordinate of the midpoint of a line segment is the mean of the -coordinates of its endpoints. Therefore, the -coordinate is.
Example Question #1475 : Concepts
A line segment on the coordinate plane has endpoints
and . In terms of and , as applicable, give the -coordinate of its midpoint.
The
-coordinate of the midpoint of a line segment is the mean of the -coordinates of its endpoints. Therefore, the -coordinate is.
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