# 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

What are the diagonals of quadrilateral #MNOP#?

A chord with a length of #6 # runs from #pi/3 # to #pi/2 # radians on a circle. What is the area of the circle?

An ellipsoid has radii with lengths of #12 #, #11 #, and #8 #. A portion the size of a hemisphere with a radius of #8 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

Triangle A has sides of lengths #24 #, #16 #, and #18 #. Triangle B is similar to triangle A and has a side with a length of #16 #. What are the possible lengths of the other two sides of triangle B?

To the nearest hundredth of a foot, what is the radius of a circular sector whose area is 45 square feet and that intercepts an arc with measure 25?

Circle A has a radius of #2 # and a center at #(3 ,6 )#. Circle B has a radius of #4 # and a center at #(2 ,3 )#. 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?

An ellipsoid has radii with lengths of #15 #, #12 #, and #8 #. A portion the size of a hemisphere with a radius of #7 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

A circle has a chord that goes from #(2 pi)/3 # to #(5 pi) / 8 # radians on the circle. If the area of the circle is #120 pi #, what is the length of the chord?

The equation of line m is 4x + 5y = -2. What is the slope of a line that is perpendicular to line m?

A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #14 #, #7 #, and #9 #, respectively. What is the rectangle's area?

Point A is at #(1 ,3 )# and point B is at #(-7 ,-5 )#. Point A is rotated #pi/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

What is a quadrilateral with only 2 right angles?

Point A is at #(-3 ,-4 )# and point B is at #(5 ,8 )#. Point A is rotated #pi # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

A triangle has two corners of angles #(pi )/6# and #(7pi)/12 #. What are the complement and supplement of the third corner?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #6 # and #1 # and the pyramid's height is #7 #. If one of the base's corners has an angle of #(5pi)/6#, what is the pyramid's surface area?

A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #27 #, what is the length of its longest diagonal?

A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #7 #, its base's sides have lengths of #1 #, and its base has a corner with an angle of #(7 pi)/8 #. What is the pyramid's surface area?

Each side of a hexagon is 350 feet and the apothem is 303 feet long. What is its area?

How can the measure of each angle of a regular quadrilateral be determined?

A triangle has corners at #(3, 8 )#, #( 2, 1 )#, and #( 9 , 6 )#. If the triangle is dilated by # 3 x# around #(1, 2)#, what will the new coordinates of its corners be?