# Maverick Smith

Geometry teacher | Verified Expert

I'm a Geometry enthusiast with a degree from Strayer University. Exploring the intricacies of shapes, angles, and spatial relationships is my passion. Armed with a solid foundation in mathematical theory and practical applications, I strive to make Geometry engaging and accessible for all students. Whether unraveling the mysteries of Euclidean proofs or navigating the world of trigonometric functions, I'm here to guide you through every geometric challenge. Let's embark on a journey of discovery and unlock the beauty of mathematical reasoning together!

## Questions

What is the equation of the perpendicular bisector of a chord of a circle?

A circle has a center that falls on the line #y = 3/8x +3 # and passes through # ( 1 ,4 )# and #(2 ,9 )#. What is the equation of the circle?

A triangle has corners at #(2 , 1 )#, #(3 ,4 )#, and #(1 ,2 )#. What is the radius of the triangle's inscribed circle?

A line segment has endpoints at #(2 ,1 )# and #(6 ,2 )#. The line segment is dilated by a factor of #4 # around #(2 ,1 )#. What are the new endpoints and length of the line segment?

When placed in the box, a large pizza can be described as being "inscribed" in a square box. If the pizza is 1" thick, find the volume of the pizza, in cubic inches given the volume of the box is 324 cubic inches?

How do we arrive at the formula for area of a circle as #pir^2#?

Two opposite sides of a parallelogram each have a length of #35 #. If one corner of the parallelogram has an angle of #(5 pi)/12 # and the parallelogram's area is #210 #, how long are the other two sides?

A chord with a length of #2 # runs from #pi/12 # to #pi/8 # radians on a circle. What is the area of the circle?

How do you find the volume of a sphere with a diameter of 2 inches?

What is the perimeter of a rhombus whose diagonals are 16 and 30?

Triangle A has an area of #9 # and two sides of lengths #4 # and #6 #. Triangle B is similar to triangle A and has a side with a length of #16 #. What are the maximum and minimum possible areas of triangle B?

A triangle has corners at #(5 ,2 )#, #(-3 ,-3 )#, and #(1 ,-2 )#. If the triangle is dilated by a factor of #1/3 # about point #(5 ,-2 ), how far will its centroid move?

What is a function that models the area of an equilateral triangle in terms of the length #x# of ones of its sides?

Two rhombuses have sides with lengths of #9 #. If one rhombus has a corner with an angle of #(3pi)/8 # and the other has a corner with an angle of #(7pi)/12 #, what is the difference between the areas of the rhombuses?

What is the perimeter of a triangle with corners at #(7 ,5 )#, #(1 ,2 )#, and #(4 ,8 )#?

Two corners of an isosceles triangle are at #(4 ,8 )# and #(5 ,7 )#. If the triangle's area is #5 #, what are the lengths of the triangle's sides?

Whats the difference between a quadrilateral and parallelogram?

A cone is 3 inches high and has a base with an area of 7 square inches. What is the volume of the cone?

Cups A and B are cone shaped and have heights of #27 cm# and #24 cm# and openings with radii of #7 cm# and #14 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?

Which theorem or postulate proves that △ABC and △DEF are similar? The two triangles are similar by the ________