# 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 #(9 ,5 )#, #(2 ,1 )#, and #(3 ,6 )#. What is the area of the triangle's circumscribed circle?

A triangle has corners at #(3 ,1 )#, #(4 ,9 )#, and #(7 ,4 )#. What is the area of the triangle's circumscribed circle?

How many obtuse angles can a parallelogram have?

Triangle A has sides of lengths #12 ,17 #, and #11 #. Triangle B is similar to triangle A and has a side of length #9 #. What are the possible lengths of the other two sides of triangle B?

The base of a triangular pyramid is a triangle with corners at #(5 ,8 )#, #(4 ,1 )#, and #(9 ,3 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?

A line passes through #(5 ,8 )# and #(4 ,9 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?

A cone has a height of #9 cm# and its base has a radius of #2 cm#. If the cone is horizontally cut into two segments #4 cm# from the base, what would the surface area of the bottom segment be?

Why can the Pythagorean Theorem only be used with Right Triangles?

What is the slope-intercept form of the equation of the line through the point (-8, 7) and parallel to the line #x + y = 13#?

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

If the radius of a circle is reduced by 50 percent, by what percent is its area reduced?

A circle's center is at #(1 ,5 )# and it passes through #(2 ,3 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?

If a regular hexagon has perimeter 96 m. What is the length of each side of the hexagon?

A chord with a length of #1 # runs from #pi/8 # to #pi/3 # radians on a circle. What is the area of the circle?

An equilateral triangle has a height of #sqrt(6)# units. What is the area of the triangle?

Circle A has a center at #(5 ,4 )# and a radius of #9 #. Circle B has a center at #(1 ,-2 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them?

A triangle has two corners of angles #pi /6# and #(3pi)/4 #. What are the complement and supplement of the third corner?

The hypotenuse of a right triangle is 15 centimeters long. One leg is 9 cm long. How do you find the length of the other leg?

A circle has a chord that goes from #( 3 pi)/8 # to #(5 pi) / 3 # radians on the circle. If the area of the circle is #36 pi #, what is the length of the chord?

A line segment is bisected by a line with the equation # - 2 y - x = 1 #. If one end of the line segment is at #( 8 , 3 )#, where is the other end?