# Parker Allen

Geometry teacher | Experienced educator in USA

I specialize in Geometry and hold a degree from California State University, Bakersfield. My passion for mathematics drives me to simplify complex concepts and make learning enjoyable. With years of tutoring experience, I excel in helping students grasp geometric principles, from basic shapes to advanced theorems. I strive to create a supportive and engaging learning environment where students feel confident exploring the intricacies of Geometry. Whether you're struggling with proofs or need assistance with problem-solving, I'm here to guide you every step of the way. Together, we'll unlock the mysteries of Geometry and achieve academic success.

## Questions

A triangle has corners at #(4 ,7 )#, #(2 ,1 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin?

A chocolate is made in the shape of a sphere of diameter #4cm#, which has hollow inside of diameter #3.7cm#. What is the volume of the chocolate?

A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #9 #, #3 #, and #3 #, respectively. What is the rectangle's area?

Are the lines #4x +2y=7# and #y=2x-3# parallel, perpendicular or neither?

How many acute angles can a right triangle have?

Calculate x, y, Perimeter and area of the composite geometrical figure?

A triangle has two corners with angles of # ( pi ) / 4 # and # ( 7 pi )/ 12 #. If one side of the triangle has a length of #1 #, what is the largest possible area of the triangle?

A line segment is bisected by a line with the equation # - y + 7 x = 1 #. If one end of the line segment is at #(1 ,3 )#, where is the other end?

A triangle has corners at #(4, 3 )#, ( 7, -4)#, and #(6, -5 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

A triangle has two corners with angles of # pi / 4 # and # pi / 4 #. If one side of the triangle has a length of #1 #, what is the largest possible area of the triangle?

What is the area of a parallelogram with corners at these coordinates on a plane: (-2,-1), (-12,-4), (9,-4), (-1,-7)?

What is the orthocenter of a triangle with corners at #(1 ,4 )#, #(5 ,7 )#, and (2 ,3 )#?

A line segment goes from #(4 ,1 )# to #(2 ,3 )#. The line segment is dilated about #(2 ,2 )# by a factor of #2#. Then the line segment is reflected across the lines #x = -2# and #y=4#, in that order. How far are the new endpoints form the origin?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #3 # and #9 # and the pyramid's height is #2 #. If one of the base's corners has an angle of #(3pi)/8#, what is the pyramid's surface area?

What is the equation of the circle with a center at #(2 ,6 )# and a radius of #3 #?

A triangle has corners A, B, and C located at #(1 ,3 )#, #(9 ,5 )#, and #(6 ,2 )#, respectively. What are the endpoints and length of the altitude going through corner C?

A triangle has corners at #(9 ,7 )#, #(2 ,1 )#, and #(5 ,2 )#. What is the area of the triangle's circumscribed circle?

A line segment with endpoints at #(5, 1)# and #(7, 2)# is rotated clockwise by #pi/2#. What are the new endpoints of the line segment?

An ellipsoid has radii with lengths of #15 #, #12 #, and #9 #. A portion the size of a hemisphere with a radius of #7 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?

A parallelogram has sides A, B, C, and D. Sides A and B have a length of #1 # and sides C and D have a length of # 6 #. If the angle between sides A and C is #(7 pi)/12 #, what is the area of the parallelogram?