# 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

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 #9 #, #7 #, and #2 #, respectively. What is the rectangle's area?

A triangle has two corners with angles of # (2 pi ) / 3 # and # ( pi )/ 6 #. If one side of the triangle has a length of #1 #, what is the largest possible area of the triangle?

A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?

Given points #M(0, 10)#, #N(5, 0)# and #P(15, 15)# in #DeltaMNP# and points #M(0, 10)#, #Q(10, -10)#, and #R(30, 20)# in #DeltaMQR#, how do we find that the two triangles are similar?

A pre-mage point is rotated #90^circ# clockwise. If the pre-image point had the coordinates (3, -5), what are the coordinates of its image point?

If a sphere has a volume of 3487 cubic yards whats the radius?

A triangle has corners at #(4 ,6 )#, #(2 ,9 )#, and #(8 ,4 )#. What is the area of the triangle's circumscribed circle?

The area of a square is 81 square centimeters. What is the length of the diagonal?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #3 # and #1 # and the pyramid's height is #5 #. If one of the base's corners has an angle of #pi/4#, what is the pyramid's surface area?

A triangle has corners at #(5 ,3 )#, #(4 ,6 )#, and #(8 ,5 )#. If the triangle is dilated by a factor of #2 # about point #(3 ,2 )#, how far will its centroid move?

A triangle has sides with lengths of 2, 7, and 6. What is the radius of the triangles inscribed circle?

A line segment is bisected by a line with the equation # 4 y + x = 3 #. If one end of the line segment is at #(5 ,6 )#, where is the other end?

A square pyramid with a base edge of 40 and a volume of 8000. Can you find the height?

Circle A has a radius of #4 # and a center of #(8 ,5 )#. Circle B has a radius of #2 # and a center of #(6 ,1 )#. If circle B is translated by #<2 ,7 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

A triangle has corners at #(4 ,4 )#, #(8 ,9 )#, and #(3 ,1 )#. What is the area of the triangle's circumscribed circle?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/8 #, and the triangle's area is #98 #. What is the area of the triangle's incircle?

A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #21 # and the height of the cylinder is #2 #. If the volume of the solid is #42 pi#, what is the area of the base of the cylinder?

What is the equation of the circle with a center at #(2 ,1 )# and a radius of #2 #?

Circle A has a radius of #5 # and a center of #(2 ,7 )#. Circle B has a radius of #1 # and a center of #(6 ,1 )#. If circle B is translated by #<2 ,7 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

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 #7/8 #, #3/5 #, and #12 #, respectively. What is the rectangle's area?