# 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

Point A is at #(9 ,3 )# and point B is at #(1 ,-3 )#. Point A is rotated #pi/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?

A parallelogram has sides A, B, C, and D. Sides A and B have a length of #3 # and sides C and D have a length of # 9 #. If the angle between sides A and C is #pi/12 #, what is the area of the parallelogram?

Points A and B are at #(5 ,8 )# and #(3 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C?

Which triangles in the figure above are congruent and/or similar? Find the value of x, angle #/_ACE# and the area #hat(AEC)#, and #BFDC#.

Prove that the largest isosceles triangle that can be drawn in a circle, is an equilateral triangle?

A line segment is bisected by a line with the equation # 3 y + 5 x = 2 #. If one end of the line segment is at #( 5 , 8 )#, where is the other end?

The figure shows △ABC.¯¯BD¯ is the angle bisector of ∠ABC. What is AD ?

If the altitude of an equilateral triangle is #8sqrt3#, what is the perimeter of the triangle?

Are these two lines parallel, perpendicular, or neither: #y = -7/8x – 1# and #32x – 28y = -36# ?

Calculate the base of the rectangle?

Two opposite sides of a parallelogram have lengths of #7 #. If one corner of the parallelogram has an angle of #pi/4 # and the parallelogram's area is #42 #, how long are the other two sides?

A parallelogram has sides with lengths of #16 # and #5 #. If the parallelogram's area is #48 #, what is the length of its longest diagonal?

A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #66 #, what is the length of its longest diagonal?

How do you write the degree measure over 360 to find the fraction of the circle given #45^circ#?

A line segment has endpoints at #(2 , 3)# and #(1 , 2)#. If the line segment is rotated about the origin by #(pi)/2 #, translated vertically by #3#, and reflected about the x-axis, what will the line segment's new endpoints be?

Circle A has a center at #(5 ,2 )# and an area of #15 pi#. Circle B has a center at #(2 ,1 )# and an area of #90 pi#. Do the circles overlap?

Two rhombuses have sides with lengths of #12 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #pi/2 #, what is the difference between the areas of the rhombuses?

In this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box. x =

A triangle has corners at #(6 ,3 )#, #(2 ,6 )#, and #(1 ,5 )#. How far is the triangle's centroid from the origin?

What is the formula for finding the area of an oval?