# 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 triangle has corners at #(4 ,7 )#, #(2 ,6 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin?

What is the orthocenter of a triangle with vertices at #O(0,0 )#, #P(a,b)#, and Q(c,d)#?

Two rhombuses have sides with lengths of #4 #. If one rhombus has a corner with an angle of #(5pi)/12 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?

A composite geometric shape of triangle and rectangle is given with the proportionate relation given in the figure. Find angle #alpha# and #theta#?

In #\triangle DEF#, #M# is the centroid. (i). Find #\overline{MK}# and #\overline{DK}# #" "# (ii). Find #\overline{LM}# and #\overline{LE}# #" "# (iii). Write an expression for #FJ#?

What is the area of an equiangular triangle with perimeter 36?

Two opposite sides of a parallelogram each have a length of #18 #. If one corner of the parallelogram has an angle of #( pi)/3 # and the parallelogram's area is #42 #, how long are the other two sides?

What line is perpendicular to #y = -3# and passes through point (4, -6)?

Cups A and B are cone shaped and have heights of #25 cm# and #27 cm# and openings with radii of #12 cm# and #12 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

How do you find the area of a rectangle with a height of 6cm and a base of 8cm?

Points A and B are at #(8 ,5 )# and #(2 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/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?

Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?

Which of the following is the x coordinates of a stationary point g(x)=9x^2-36x+35 ? answers A, -5/3 B, 5/3 C, 2 D, 7/3 E, 4

What is the perimeter of a triangle with corners at #(3 ,0 )#, #(5 ,2 )#, and #(5 ,4 )#?

Find the area of a right trapezoid with bases 12 cm and 15 cm and a leg of 6 cm?

Two similar polygons have the scale factor 5:2. The area of the larger polygon is 100. Find the area of the smaller polygon?

The coordinates of a polygon are (2, 3), (4,7), (8,5), and (7,2). If the polygon rotates 90° clockwise about the origin, in which quadrant will the transformation lie? What are the new coordinates?

A circle has a center that falls on the line #y = 7/2x +3 # and passes through #(1 ,2 )# and #(8 ,1 )#. What is the equation of the circle?

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 #33 # and the height of the cylinder is #4 #. If the volume of the solid is #25 pi#, what is the area of the base of the cylinder?

Points A and B are at #(9 ,7 )# and #(3 ,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?