# Noah Atkinson

Geometry teacher | Tutor for 8 years

I am a dedicated educator specializing in Geometry, with a background in Mathematics from Washington and Lee University. My passion lies in guiding students through the intricate world of shapes, angles, and proofs, fostering their understanding and appreciation for the subject. With a commitment to clarity and patience, I strive to make geometric concepts accessible and engaging for learners of all levels. Through personalized instruction and effective problem-solving strategies, I aim to empower students to excel in their mathematical journey. Let's unlock the mysteries of Geometry together!

## Questions

Circle A has a center at #(3 ,1 )# and a radius of #6 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?

Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 12 #. If one side of the triangle has a length of # 3 #, what is the longest possible perimeter of the triangle?

This image shows a square pyramid. What is the surface area of this square pyramid?

A triangle has corners at #(8 ,3 )#, #(4 ,-5 )#, and #(2 ,1 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-3 ), how far will its centroid move?

A line segment has an endpoint at (4, 6), the midpoint of the line segment is (1, 5). What are the coordinates of the point at the other end of the line segment?

A circle has a center that falls on the line #y = 8/7x +2 # and passes through # ( 7 ,8 )# and #(3 ,9 )#. What is the equation of the circle?

Given the equilateral triangle inscribed in a square of side #s# find the ratio of #Delta BCR " to " DeltaPRD#?

The ratio of two supplementary angles is 2:7. What's the measure of the smaller angle?

A line passes through #(5 ,6 )# and #(7 ,8 )#. A second line passes through #(2 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

Circle A has a center at #(4 ,-8 )# and a radius of #3 #. Circle B has a center at #(-2 ,-2 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them?

Can an equilateral triangle also be isosceles?

What is the sum, in degrees, of the measures of the interior angles of a pentagon?

A circle's center is at #(3 ,1 )# and it passes through #(5 ,2 )#. What is the length of an arc covering #(7pi ) /12 # radians on the circle?

An ellipsoid has radii with lengths of #5 #, #8 #, and #5 #. A portion the size of a hemisphere with a radius of #3 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

A chord with a length of #4 # runs from #pi/8 # to #pi/6 # radians on a circle. What is the area of the circle?

What is the area of a parallelogram with vertices (2,5), (5, 10), (10, 15), and (7, 10)?

What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 72°?

The coordinates of the endpoints of a diameter of a circle are (-5,3) and (3,-4). What is the: i. equation of the circle? ii. length of the diameter? iii. equation of the diameter?

The diameter of the circle is 16 centimeters. What is the radius?

Points A and B are at #(4 ,1 )# and #(7 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C?