# Sadie Adams

Geometry teacher | Verified Expert

Greetings! I'm a dedicated geometry expert, honing my skills at Loyola University Maryland. Passionate about shaping mathematical minds, I thrive on unraveling the complexities of geometry. With a commitment to fostering understanding, I'm here to guide students through the intricacies of shapes, angles, and the beauty of mathematical relationships. Let's embark on a journey of geometric exploration together!

## Questions

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 #27 # and the height of the cylinder is #7 #. If the volume of the solid is #42 pi#, what is the area of the base of the cylinder?

A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #5 #, its base has sides of length #1 #, and its base has a corner with an angle of # pi/4 #. What is the pyramid's surface area?

What is the area of a trapezoid with bases 2ft and 3ft and height 1/4ft?

Given that the measure of ∠CBE is 135° find the measure of ∠BED. Assume that lines L and M are parallel A) 45° B) 55° C) 90° D) 135° ?

A cone has a height of #9 cm# and its base has a radius of #8 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?

Are complementary angles always, sometimes, or never adjacent angles?

What is the circumference of the circle whose equation is #(x-9)^2+(y-3)^2=64#?

A line segment has endpoints at #(7 ,6 )# and #(2 ,3 )#. If the line segment is rotated about the origin by # pi #, translated horizontally by # - 4 #, and reflected about the y-axis, what will the line segment's new endpoints be?

What is the equation of the circle with a center at #(2 ,2 )# and a radius of #4 #?

Circle A has a center at #(2 ,12 )# and an area of #81 pi#. Circle B has a center at #(1 ,3 )# and an area of #16 pi#. Do the circles overlap? If not, what is the shortest distance between them?

Two rhombuses have sides with lengths of #6 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(5pi)/6 #, what is the difference between the areas of the rhombuses?

How do you write the equation for a circle with points (2, 5) (6, -1) as ends of a diameter?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/6 #, and the triangle's area is #24 #. What is the area of the triangle's incircle?

Let #△ABC ~ △XYZ#. The ratio of their perimeters is 11/5, what is their similarity ratio of each the sides? What is the ratio of their areas?

What is the radius of a circle with a circumference of 28 pi?

A line segment has endpoints at #(4 ,7 )# and #(2 ,5 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment?

A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #5 #, its base's sides have lengths of #1 #, and its base has a corner with an angle of #( pi)/6 #. What is the pyramid's surface area?

What type of figure must a quadrilateral be if its diagonals are perpendicular bisectors of each other and are congruent?

Each side of a hexagon is 350 feet and the apothem is 303 feet long. What is its area?

A triangle has corners at #(3, 8 )#, #( 2, 1 )#, and #( 9 , 6 )#. If the triangle is dilated by # 3 x# around #(1, 2)#, what will the new coordinates of its corners be?