# 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

Consider a isosceles right triangle with hypotenuse length of 10. Exactly how long are the legs?

What is XY? in meters

Given: A line segment AC with AB=BC Prove: 1/2AC=BC?

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

What are the coordinates of the image of the point #(–3, 6)# after a dilation with a center of #(0, 0)# and scale factor of #1/3#?

A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches? Compute the volume of the triangular pyramid if the height is 14 inches. 2520 in3 420 in3 1260 in3 252 in3

How would I solve #cos x + cos 2x = 0#? Please show steps.

What is an 11 and 12 sided shape called?

Point A is at #(-2 ,8 )# and point B is at #(-1 ,3 )#. Point A is rotated #(3pi)/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?

How do you find the equation of a circle in standard form given #x^2+y^2+4x+6y+4=0#?

How do you find the positive acute angle?

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 #2 #, its base has sides of length #7 #, and its base has a corner with an angle of #(3 pi)/4 #. What is the pyramid's surface area?

What is the measure of the base of a triangle that has a height of 8 centimeters and an area of 24 square centimeters?

A triangle has corners at #(2 ,1 )#, #(4 ,-3 )#, and #(-1 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-9 ), how far will its centroid move?

A circle C has equation #x^2+y^2-6x+8y-75=0#, and a second circle has a centre at #(15,12)# and radius 10. What are the coordinates of the point where they touch?

The radius of the larger circle is twice as long as the radius of the smaller circle. The area of the donut is 75 pi . Find the radius of the smaller (inner) circle.?

Points A and B are at #(8 ,3 )# and #(1 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C?

How do you find the area of a regular hexagon with a radius of 5? Please show working.

A parallelogram is determined by the vectors a = (-2,5) and b = (3,2). Determined the angles between the diagonals of the parallelogram?

Name the following triangle: #ΔQRS#, where #m∠R = 94, m∠Q = 22 and m∠S = 90#?