Caroline Aucoin
Geometry teacher | Verified Expert
I hold a degree in Geometry from Montclair State University. With a passion for unlocking the mysteries of shapes and spaces, I guide students through the intricacies of geometric concepts. My teaching style emphasizes clarity and practical application, empowering learners to excel in problem-solving and critical thinking. Drawing on my academic background and real-world experience, I foster a supportive learning environment where curiosity thrives. Together, we'll explore the fascinating world of geometry and uncover its relevance in everyday life. Let's embark on this journey of discovery together.
Questions
Prove that the largest isosceles triangle that can be drawn in a circle, is an equilateral triangle?
What is the perimeter of a triangle with corners at #(3 ,7 )#, #(1 ,1 )#, and #(4 ,3 )#?
If the altitude of an equilateral triangle is #8sqrt3#, what is the perimeter of the triangle?
What is the measure of an angle whose measure is 50 more than the measure of its complement?
If angle A and B are complementary and #A=5x+8# and #B=x+4#, what are the measurements of each angle?
A parallelogram has sides with lengths of #16 # and #5 #. If the parallelogram's area is #48 #, what is the length of its longest diagonal?
What is the equation of the circle with a center at #(5 ,7 )# and a radius of #6 #?
A line segment has endpoints at #(2 , 3)# and #(1 , 2)#. If the line segment is rotated about the origin by #(pi)/2 #, translated vertically by #3#, and reflected about the x-axis, what will the line segment's new endpoints be?
Point A is at #(-8 ,5 )# and point B is at #(-3 ,-2 )#. Point A is rotated #pi/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
What is the formula for finding the area of an oval?
A cone has a height of #12 cm# and its base has a radius of #4 cm#. If the cone is horizontally cut into two segments #7 cm# from the base, what would the surface area of the bottom segment be?
Points A and B are at #(4 ,7 )# and #(3 ,9 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C?
The perimeter of a square is 4 times as great as the length of any of its sides. Is the perimeter of a square is proportional to its side length?
A cone has a height of #12 cm# and its base has a radius of #7 cm#. If the cone is horizontally cut into two segments #3 cm# from the base, what would the surface area of the bottom segment be?
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 #12 #, #3 #, and #5 #, respectively. What is the rectangle's area?
Work out the size of one interior angle of a regular 15-sided polygon?
What is the equation of the tangent planes to #7x^2-3y^2-z^2+21=0# which passes through the line #7x-6y+9=0#,#z=3#?
Two corners of a triangle have angles of # (7 pi )/ 12 # and # pi / 8 #. If one side of the triangle has a length of # 2 #, what is the longest possible perimeter of the triangle?
How do you use Heron's formula to find the area of a triangle with sides of lengths #7 #, #4 #, and #7 #?
A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/4 #, and the triangle's area is #25 #. What is the area of the triangle's incircle?