# 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 #(4 ,3 )# and #(2 ,9 )#. A second line passes through #(7 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?

A triangle has two corners with angles of # (3 pi ) / 4 # and # ( pi )/ 6 #. If one side of the triangle has a length of #9 #, what is the largest possible area of the triangle?

What is the centroid of a triangle with corners at #(1 , 3 )#, #(6 , 9 )#, and #(2 , 7 )#?

Circle A has a radius of #2 # and a center of #(5 ,7 )#. Circle B has a radius of #4 # and a center of #(3 ,2 )#. If circle B is translated by #<2 ,-1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

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 #2 #, its base's sides have lengths of #4 #, and its base has a corner with an angle of #( pi)/4 #. What is the pyramid's surface area?

What is the orthocenter of a triangle with corners at #(6 ,3 )#, #(2 ,5 )#, and (7 ,9 )#?

How do you find the area of a kite?

A triangle has corners at #(2 , 6 )#, #(3 ,9 )#, and #(4 ,8 )#. What is the radius of the triangle's inscribed circle?

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 #36 # and the height of the cylinder is #4 #. If the volume of the solid is #126 pi#, what is the area of the base of the cylinder?

Calculate the radius and the area of the brick region?

A triangle has corners at #(6 ,3 )#, #(4 ,-1 )#, and #(3 ,-9 )#. If the triangle is dilated by a factor of #5 # about point #(8 ,-6 ), how far will its centroid move?

A line passes through #(5 ,9 )# and #(7 ,3 )#. A second line passes through #(3 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

Two corners of a triangle have angles of # (2 pi )/ 3 # and # ( pi ) / 6 #. If one side of the triangle has a length of # 17 #, what is the longest possible perimeter of the triangle?

A circle has a chord that goes from #( 5 pi)/6 # to #(5 pi) / 4 # radians on the circle. If the area of the circle is #21 pi #, what is the length of the chord?

While waiting for his sister, Kyle got some exercise by walking the perimeter of the rectangular parking lot. the lenght of the parking lot is 1/3 mile and the width is 1/8 mile. If he walks twice, how far will he have walked?

Two opposite sides of a parallelogram each have a length of #12 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #72 #, how long are the other two sides?

The length of a rectangle is three times the width. What is the width of the area is 147 square feet?

A cone has a height of #12 cm# and its base has a radius of #8 cm#. If the cone is horizontally cut into two segments #8 cm# from the base, what would the surface area of the bottom segment be?

Triangle A has sides of lengths #36 ,24 #, and #16 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the possible lengths of the other two sides of triangle B?

A chord with a length of #1 # runs from #pi/3 # to #pi/2 # radians on a circle. What is the area of the circle?