# 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

Let #bar(AB)# be cut into equal and unequal segments at #C and D# Show that the rectangle contained by #bar(AD)xxDB# together with the square on #CD# is equal to the square on #CB#?

A triangle has sides with lengths of 8, 4, and 7. What is the radius of the triangles inscribed circle?

A circle has a center at #(1 ,2 )# and passes through #(4 ,2 )#. What is the length of an arc covering #pi /4 # radians on the circle?

Circle A has a center at #(3 ,7 )# and a radius of #4 #. Circle B has a center at #(4 ,-2 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them?

Triangle A has sides of lengths #24 #, #15 #, and #21 #. Triangle B is similar to triangle A and has a side of length #24 #. What are the possible lengths of the other two sides of triangle B?

A line segment with endpoints at #(-8 , 3 )# and #(5, -3 )# is rotated clockwise by #pi #. What are the new endpoints of the line segment?

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

What is the midpoint between the points (3, 1) and (1, 5)?

An ellipsoid has radii with lengths of #3 #, #6 #, and #5 #. A portion the size of a hemisphere with a radius of #2 # is removed form the ellipsoid. What is the volume of the remaining ellipsoid?

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 #75 pi#, what is the area of the base of the cylinder?

Geometry multiple choice question can anybody help me??

An isosceles triangle has sides #a,# #b,# and #c# with sides #a# and #c# being equal in length. If side #b# goes from #(5 ,1 )# to #(3 ,2 )# and the triangle's area is #8 #, what are the possible coordinates of the triangle's third vertex?

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

An isosceles triangle has 2 sides equal to 0.96 inches and the measure of the angle between them is 104.5 degrees. What is the measure of the third side? Please show work.

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 #5 #, and its base has a corner with an angle of #(5 pi)/8 #. What is the pyramid's surface area?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #8 # and #1 # and the pyramid's height is #4 #. If one of the base's corners has an angle of #pi/3#, what is the pyramid's surface area?

Two corners of a triangle have angles of # ( pi )/ 3 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 1 #, what is the longest possible perimeter of the triangle?

A triangle has two corners with angles of # pi / 2 # and # (3 pi )/ 8 #. If one side of the triangle has a length of #7 #, what is the largest possible area of the triangle?

A triangle has corners A, B, and C located at #(3 ,5 )#, #(2 ,1 )#, and #(5 , 8 )#, respectively. What are the endpoints and length of the altitude going through corner C?

A triangle has corners at #(1, 5 )#, ( 6, 8)#, and #( 4, 2)#. If the triangle is reflected across the x-axis, what will its new centroid be?