# 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 is the surface area formula of a 3-dimensional rectangle?

A triangle has two corners with angles of # pi / 2 # and # ( pi )/ 8 #. If one side of the triangle has a length of #1 #, what is the largest possible area of the triangle?

Triangle A has an area of #9 # and two sides of lengths #3 # and #8 #. Triangle B is similar to triangle A and has a side with a length of #7 #. What are the maximum and minimum possible areas of triangle B?

A square has a side length of #s+16#. A rectangle has a length of #s+25# and a width of #s-8#. What is the perimeter of each figure? Are the perimeters the same?

Using Pythagorean Theorem, if you have a box that is 4cm wide, 3cm deep, and 5cm high, what is the length of the longest segment that will fit in the box? Please show working.

A triangle has corners at #(3 ,8 )#, #(5 ,9 )#, and #(4 ,5 )#. What is the area of the triangle's circumscribed circle?

A chord with a length of #18 # runs from #pi/4 # to #pi/2 # radians on a circle. What is the area of the circle?

A line segment has endpoints at #(8 ,5 )# and #(2 ,1 )#. If the line segment is rotated about the origin by # pi #, translated horizontally by # - 1 #, and reflected about the y-axis, what will the line segment's new endpoints be?

What is the difference between intersecting and perpendicular lines?

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

Find a vector perpendicular to the plane #2*x-y+2z=5# ?

An ellipsoid has radii with lengths of #5 #, #5 #, and #6 #. 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?

What is a conjecture in geometry?

Circle A has a center at #(-5 ,7 )# and a radius of #4 #. Circle B has a center at #(7 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?

The coordinates of the vertices of VPQR are P(-2,5), Q(-1,1), and R(7,3). Determine whether VPQR is a right triangle. Show your work? Need help solving

Circle A has a radius of #2 # and a center at #(1 ,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?

A line passes through #(5 ,9 )# and #(7 ,3 )#. A second line passes through #(3 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

A triangle has corners A, B, and C located at #(1 ,8 )#, #(6 ,3 )#, and #(7 ,4 )#, respectively. What are the endpoints and length of the altitude going through corner C?

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

What is the area of a circle if the circumference is 48 ft?