Sophia Alfred
Geometry teacher | Experienced educator in USA
I'm a Geometry expert, graduating from Shepherd University. My passion lies in unlocking the mysteries of shapes and spaces. With a knack for simplifying complex concepts, I empower students to conquer geometric challenges with confidence. Let's navigate the world of angles and proofs together!
Questions
What is the area of a regular hexagon with sides 1 inch long?
The base of a triangular pyramid is a triangle with corners at #(5 ,8 )#, #(6 ,7 )#, and #(2 ,3 )#. If the pyramid has a height of #15 #, what is the pyramid's volume?
Points A and B are at #(3 ,7 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C?
Triangle A has an area of #8 # and two sides of lengths #4 # and #7 #. 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?
How do you find the center of a circle with the Midpoint Formula?
How to I find the degrees of a line given it's slope?
A cone has a height of #12 cm# and its base has a radius of #8 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?
If the largest angle of an isosceles triangle measures 106 degrees, what is the measure of the smallest angle?
Two corners of an isosceles triangle are at #(2 ,4 )# and #(3 ,8 )#. If the triangle's area is #48 #, what are the lengths of the triangle's sides?
A line segment has endpoints at #(2 ,3 )# and #(6 ,5)#. If the line segment is rotated about the origin by #(3pi )/2 #, translated horizontally by #-1 #, and reflected about the x-axis, what will the line segment's new endpoints be?
What is the value of the hypotenuse of an isosceles triangle with a perimeter equal to #16 + 16sqrt2#?
How do you know if a triangle has triangle ambiguity or not and how many "triangle ambiguities" it has?
What is the orthocenter of a triangle with corners at #(1, 3)#, #(6, 2)#, and #(5, 4)#?
Triangle A has sides of lengths #7 ,4 #, and #5 #. Triangle B is similar to triangle A and has a side of length #3 #. What are the possible lengths of the other two sides of triangle B?
The area of a parallelogram is 486 square cm. The sum of its bases is 54 cm. Each slanted side measures 14 cm. What is the height?
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 #7 #, #4 #, and #1 #, respectively. What is the rectangle's area?
Circle A has a center at #(1 ,2 )# and an area of #100 pi#. Circle B has a center at #(7 ,9 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them?
A triangle has corners A, B, and C located at #(8 ,7 )#, #(1 ,5 )#, and #(6 , 3 )#, respectively. What are the endpoints and length of the altitude going through corner C?
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 #7 #, #2 #, and #9 #, respectively. What is the rectangle's area?
Find the equation of a circle, which passes through origin and has #x#-intercept as #3# and #y#-intercept as #4#? What would have been the equation, if intercepts are reversed?