# 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

Point A is at #(5 ,1 )# and point B is at #(2 ,-4 )#. 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?

The diameter of the circle is 16 centimeters. What is the radius?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #3 # and #7 # and the pyramid's height is #8 #. If one of the base's corners has an angle of #(3pi)/8#, what is the pyramid's surface area?

A 45-45-90 triangle has a hypotenuse of length 7. What is the length of one of its legs?

Which are right triangles and which are not?There are 4 triangles.(0.9, 1.2,and 1.5)(7, 10, and 15)(3.1, 5.7,and 7.1)(1, 2.4, and 2.6) .

Two corners of a triangle have angles of # (5 pi )/ 12 # and # pi / 6 #. If one side of the triangle has a length of 8, what is the longest possible perimeter of the triangle?

A line segment is bisected by a line with the equation # 3 y - 7 x = 2 #. If one end of the line segment is at #( 8 , 1 )#, where is the other end?

A triangle has two corners with angles of # pi / 4 # and # (5 pi )/ 8 #. If one side of the triangle has a length of #3 #, what is the largest possible area of the triangle?

A line segment with endpoints at #(-1 , 2 )# and #(-4, 1 )# is rotated clockwise by #pi #. What are the new endpoints of the line segment?

An angle is twice as large as its complement, what is the measure of the angle and its complement?

Triangle A has an area of #27 # and two sides of lengths #8 # and #6 #. Triangle B is similar to triangle A and has a side with a length of #8 #. What are the maximum and minimum possible areas of triangle B?

How do you find the volume of the sphere in terms of #pi# given #V=4/3pir^3# and d= 9 ft?

A circle has a center that falls on the line #y = 3/8x +5 # and passes through # ( 7 ,3 )# and #(2 ,9 )#. What is the equation of the circle?

How does one derive the Midpoint Formula?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/3 #, vertex B has an angle of #(5 pi)/12 #, and the triangle's area is #4 #. What is the area of the triangle's incircle?

A line segment is bisected by a line with the equation # - 6 y + x = 3 #. If one end of the line segment is at #( 4 , 5 )#, where is the other end?

A triangle has corners at #(2 ,9 )#, #(4 ,8 )#, and #(4 ,3 )#. How far is the triangle's centroid from the origin?

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 #15 #, #1 #, and #4 #, respectively. What is the rectangle's area?

A rectangular parking lot has a perimeter of 310 meters. The length is 5 meters more than 4 times the width. What is the length and width?

The base of a triangular pyramid is a triangle with corners at #(6 ,2 )#, #(3 ,5 )#, and #(4 ,2 )#. If the pyramid has a height of #9 #, what is the pyramid's volume?