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
What are the different coordinate transformation conjectures?
What is the centroid of a triangle with corners at #(3, 2 )#, #(1,5 )#, and #(0 , 9 )#?
A circle has a center that falls on the line #y = 2x +7 # and passes through #(4 ,4 )# and #(1 ,2 )#. What is the equation of the circle?
A triangle has two corners with angles of # (2 pi ) / 3 # and # ( pi )/ 4 #. If one side of the triangle has a length of #1 #, what is the largest possible area of the triangle?
Which types of quadrilateral have exactly three right angles?
Triangle A has an area of #5 # and two sides of lengths #9 # and #3 #. Triangle B is similar to triangle A and has a side with a length of #9 #. What are the maximum and minimum possible areas of triangle B?
A triangle has corners at #(1 ,9 )#, #(5 ,7 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin?
Points A and B are at #(2 ,2 )# and #(3 ,7 )#, 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?
A square has sides of length #s#. A rectangle is #6# inches shorter than the square and #1# inch longer. How do you write an expression to represent the perimeter of the rectangle?
A polygon has n sides. Three of its exterior angels are 70 degrees, 80 degrees and 90 degrees. The remaining #(n-3)# exterior angels are each 15 degrees. How many sides does this polygon have?
A chord with a length of #4 # runs from #pi/12 # to #pi/3 # radians on a circle. What is the area of the circle?
A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #9 # and #3 # and the pyramid's height is #9 #. If one of the base's corners has an angle of #(5pi)/12#, what is the pyramid's surface area?
Two circles have the following equations #(x -1 )^2+(y -4 )^2= 36 # and #(x +5 )^2+(y -7 )^2= 49 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
A rhombic prism has the diagonal of the rhombus measuring 16 and 12 cm. If the the altitude of the prism is equal in size to the side of the rhombus. What is the surface area and the volume of the Rhombic Prism?
A parallelogram has sides with lengths of #14 # and #6 #. If the parallelogram's area is #63 #, what is the length of its longest diagonal?
A #5 cm# high prism has a right triangle base with cateti #6 cm and 8 cm# long. Calculate the surface area using a perimeter construct and a single formula. Calculate also the volume?
The width of a rectangle is 7 feet less than its length. If the area of the rectangle is 170 square feet, then find the length and width. What is the proper way set up this equation?
How are corresponding angles of similar figures related?
Circle A has a radius of #1 # and a center at #(7 ,4 )#. Circle B has a radius of #3 # and a center at #(6 ,5 )#. If circle B is translated by #<-3 ,4 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
Natasha is constructing the bisector of PQ¯¯¯¯¯PQ¯. She has already constructed an arc as shown. What should Natasha do for her next step?