# 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

An ellipsoid has radii with lengths of #4 #, #5 #, and #7 #. A portion the size of a hemisphere with a radius of #5 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

Two corners of a triangle have angles of #pi / 12 # and # pi / 3 #. If one side of the triangle has a length of #6 #, what is the longest possible perimeter of the triangle?

What is the isosceles triangle theorem?

Find geometric mean and hence #w# in the following figure?

A line passes through #(5 ,0 )# and #(7 ,9 )#. A second line passes through #(3 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?

The base of a triangular pyramid is a triangle with corners at #(6 ,2 )#, #(4 ,5 )#, and #(8 ,7 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?

Circle A has a radius of #4 # and a center at #(7 ,2 )#. Circle B has a radius of #3 # and a center at #(6 ,5 )#. If circle B is translated by #<-3 ,4 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

A triangle has corners at #(6 ,7 )#, #(2 ,6 )#, and #(1 ,5 )#. How far is the triangle's centroid from the origin?

A boy who is 6 feet tall casts a 16 foot shadow; an adjacent flagpole casts a 32 foot shadow. How tall is the flagpole?

What is the equation of a circle whose center is (4,-7) and a radius of 6?

Circle A has a radius of #2 # and a center at #(5 ,2 )#. Circle B has a radius of #5 # and a center at #(3 ,4 )#. If circle B is translated by #<-2 ,1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

How do you find the volume of a 3D trapezoid?

What is the supplementary angle to #theta= 35.6# degrees?

What is the length of side BC of the triangle? Explain how you arrived at your answer.

Triangle A has an area of #24 # and two sides of lengths #8 # and #15 #. Triangle B is similar to triangle A and has a side with a length of #12 #. What are the maximum and minimum possible areas of triangle B?

Two corners of a triangle have angles of #(7 pi ) / 12 # and # pi / 12 #. If one side of the triangle has a length of #6 #, what is the longest possible perimeter of the triangle?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #3 # and #2 # and the pyramid's height is #9 #. If one of the base's corners has an angle of #(5pi)/12#, what is the pyramid's surface area?

Circle A has a center at #(3 ,2 )# and an area of #16 pi#. Circle B has a center at #(4 ,7 )# and an area of #80 pi#. Do the circles overlap?

How To Do These Pythagorean Theorem Math Questions?

The sides of this polygon subtend angles of 36° at the centre of the polygon. How many sides does the polygon have?