# 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 line passes through #(8 ,5 )# and #(2 ,4 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?

A rectangular parking lot has a length that is 7 yards than the width. The area of the parking lot is 120 square greater yards. What is the length and the width?

A triangle has corners at #(5 ,8 )#, #(2 ,6 )#, and #(7 ,3 )#. What is the area of the triangle's circumscribed circle?

Is the slope of the #y# axis infinity?

The base of a triangular pyramid is a triangle with corners at #(6 ,7 )#, #(3 ,1 )#, and #(5 ,9 )#. If the pyramid has a height of #8 #, what is the pyramid's volume?

A line segment has endpoints at #(5 ,5 )# and #(3 ,5 )#. The line segment is dilated by a factor of #1/2 # around #(3 , 2)#. What are the new endpoints and length of the line segment?

A line segment has endpoints at #(7 ,5 )# and #(6 ,5)#. If the line segment is rotated about the origin by #(3pi )/2 #, translated vertically by #3 #, and reflected about the x-axis, what will the line segment's new endpoints be?

A parallelogram has sides with lengths of #12 # and #6 #. If the parallelogram's area is #48 #, what is the length of its longest diagonal?

A triangle has two corners with angles of # (2 pi ) / 3 # and # ( pi )/ 6 #. If one side of the triangle has a length of #6 #, what is the largest possible area of the triangle?

Triangle A has sides of lengths #1 3 ,1 4#, and #11 #. Triangle B is similar to triangle A and has a side of length #4 #. What are the possible lengths of the other two sides of triangle B?

Find the area of a regular hexagon if its perimeter is 60 cm?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #(pi)/2 #, and the triangle's area is #2 #. What is the area of the triangle's incircle?

In a 45-45-90 triangle, one of the legs is #2sqrt2#. What is the length of the hypotenuse?

When placed in the box, a large pizza can be described as being "inscribed" in a square box. If the pizza is 1" thick, find the volume of the pizza, in cubic inches given the volume of the box is 324 cubic inches?

Are the diagonals of a rectangle always, sometimes or never congruent?

A parallelogram has sides with lengths of #9 # and #8 #. If the parallelogram's area is #32 #, what is the length of its longest diagonal?

Triangle A has an area of #12 # and two sides of lengths #5 # 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?

ABCD is a parallelogram. Find the measure of <A? 40 120 20 160

Two corners of a triangle have angles of #(5 pi ) / 12 # and # ( pi ) / 8 #. If one side of the triangle has a length of #4 #, what is the longest possible perimeter of the triangle?

How are isosceles and equilateral triangles the same?