# 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

Two opposite sides of a parallelogram each have a length of #5 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #15 #, how long are the other two sides?

A triangle has corners at #(7 ,1 )#, #(8 ,2 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin?

How are corresponding angles used in everyday life?

A line segment with endpoints at #(-2 , 7 )# and #(2, -3 )# is rotated clockwise by #pi #. What are the new endpoints of the line segment?

A circle has a chord that goes from #( pi)/6 # to #(5 pi) / 6 # radians on the circle. If the area of the circle is #135 pi #, what is the length of the chord?

A cone has a height of #36 cm# and its base has a radius of #9 cm#. If the cone is horizontally cut into two segments #16 cm# from the base, what would the surface area of the bottom segment be?

A parallelogram has sides A, B, C, and D. Sides A and B have a length of #4 # and sides C and D have a length of # 3 #. If the angle between sides A and C is #(3 pi)/4 #, what is the area of the parallelogram?

A triangle has two corners of angles #(3pi )/8# and #(5pi)/12 #. What are the complement and supplement of the third corner?

A cone has a height of #9 cm# and its base has a radius of #8 cm#. If the cone is horizontally cut into two segments #2 cm# from the base, what would the surface area of the bottom segment be?

Do rhombuses, squares and rectangles all share properties of parallelograms?

A line segment has endpoints at #(3 ,8 )# and #(4 ,6)#. If the line segment is rotated about the origin by #(pi )/2 #, translated vertically by #-6 #, and reflected about the y-axis, what will the line segment's new endpoints be?

A triangle has two corners with angles of # pi / 12 # and # (5 pi )/ 8 #. If one side of the triangle has a length of #3 #, what is the largest possible area of the triangle?

A circle has a center that falls on the line #y = 2/3x +7 # and passes through #(4 ,7 )# and #(1 ,2 )#. What is the equation of the circle?

What are real-life examples of parallelograms?

A chord with a length of #16 # runs from #pi/3 # to #pi/2 # radians on a circle. What is the area of the circle?

A circle has a chord that goes from #( pi)/2 # to #(3 pi) / 4 # radians on the circle. If the area of the circle is #196 pi #, what is the length of the chord?

What is the orthocenter of a triangle with corners at #(4 ,7 )#, #(8 ,2 )#, and (5 ,6 )#?

One exterior angle of a regular polygon measures 40. What is the sum of the polygon's interior angle measures? Please show working.

A line passes through #(2 ,8 )# and #(3 ,9 )#. A second line passes through #(7 ,4 )#. What is one other point that the second line may pass through if it is parallel to the first line?

A triangle has corners at #(2 , 5 )#, #(8 ,2 )#, and #(4 ,7 )#. What is the radius of the triangle's inscribed circle?