# 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

Circle A has a center at #(1 ,3 )# and a radius of #1 #. Circle B has a center at #(-2 ,-5 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?

A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?

Triangle A has sides of lengths #60 #, #42 #, and #60 #. Triangle B is similar to triangle A and has a side of length #7 #. What are the possible lengths of the other two sides of triangle B?

Help me answer this question??? PLEASE !!! ):

A triangle has corners A, B, and C located at #(2 ,7 )#, #(3 ,5 )#, and #(9 , 6 )#, respectively. What are the endpoints and length of the altitude going through corner C?

Is an equilateral triangle is sometimes, never or always an isosceles triangle?

A triangle has corners at #(3 ,5 )#, #(7 ,9 )#, and #(4 ,2 )#. What is the area of the triangle's circumscribed circle?

A circle has a center that falls on the line #y = 3/8x +8 # and passes through # ( 7 ,4 )# and #(2 ,9 )#. What is the equation of the circle?

What is the centroid of a triangle with corners at #(6, 1 )#, #(2, 2 )#, and #(1 , 6 )#?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #3 # and #1 # and the pyramid's height is #5 #. If one of the base's corners has an angle of #pi/4#, what is the pyramid's surface area?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #2 # and #8 # and the pyramid's height is #2 #. If one of the base's corners has an angle of #(5pi)/6#, what is the pyramid's surface area?

Point A is at #(4 ,-8 )# and point B is at #(-1 ,-2 )#. Point A is rotated #(3pi)/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?

Triangle A has an area of #12 # and two sides of lengths #7 # and #7 #. Triangle B is similar to triangle A and has a side with a length of #19 #. What are the maximum and minimum possible areas of triangle B?

What is the equation of the circle with a center at #(2 ,-3 )# and a radius of #5 #?

The base of a triangular pyramid is a triangle with corners at #(3 ,2 )#, #(5 ,6 )#, and #(2 ,8 )#. If the pyramid has a height of #12 #, what is the pyramid's volume?

What is the perimeter of a triangle with corners at #(1 ,4 )#, #(6 ,3 )#, and #(4 ,2 )#?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/8 #, and the triangle's area is #98 #. What is the area of the triangle's incircle?

A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #21 # and the height of the cylinder is #2 #. If the volume of the solid is #42 pi#, what is the area of the base of the cylinder?

The measures of a sphere with a volume of 972pi in^3 are multipled by 1/3. what is the volume of the sphere?

A rectangle is 9 ft long and 40 in wide. What is its perimeter in inches?