# 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 #10 #, #3 #, and #3 #, respectively. What is the rectangle's area?

If sum of all the interior angles of a polygon is #2340^@#, how many sides does it have?

A triangle has corners at #(1 ,4 )#, #(9 ,6 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin?

Sarah has a triangular piece of paper. The base of the paper is 14 and 1/2 inches. The height of the paper is 12 inches. What is the area of the piece of paper?

Two corners of a triangle have angles of #pi / 3 # and # pi / 6 #. If one side of the triangle has a length of #1 #, what is the longest possible perimeter of the triangle?

A line segment is bisected by a line with the equation # 4 y - 3 x = 2 #. If one end of the line segment is at #( 2 , 1 )#, where is the other end?

What special type of quadrilateral has diagonals that are congruent and bisect but are not perpendicular?

A triangle has corners A, B, and C located at #(3 ,4 )#, #(7 ,5 )#, and #(2 ,9 )#, respectively. What are the endpoints and length of the altitude going through corner C?

A line segment has endpoints at #(3 ,7 )# and #(5 ,9)#. If the line segment is rotated about the origin by #(pi )/2 #, translated vertically by #2 #, and reflected about the y-axis, what will the line segment's new endpoints be?

How many acute angles does a parallelogram have?

A triangle has two corners with angles of # ( pi ) / 2 # and # ( pi )/ 6 #. If one side of the triangle has a length of #7 #, what is the largest possible area of the triangle?

Two circles have the following equations #(x -1 )^2+(y -2 )^2= 64 # and #(x +7 )^2+(y +2 )^2= 9 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?

How many perpendicular bisectors can be constructed for a line?

How are adjacent angles used in real life?

A triangle has corners A, B, and C located at #(5 ,2 )#, #(7 ,9 )#, and #(9 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?

Circle A has a center at #(4 ,-1 )# and a radius of #5 #. Circle B has a center at #(-3 ,6 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?

How is the volume of a cylinder affected when its radius is doubled?

Two rhombuses have sides with lengths of #7 #. If one rhombus has a corner with an angle of #(pi)/2 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?

A parallelogram has sides A, B, C, and D. Sides A and B have a length of #5 # and sides C and D have a length of # 3 #. If the angle between sides A and C is #pi/3 #, what is the area of the parallelogram?

A triangle has corners at #(6 ,6 )#, #(7 ,4 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin?