# 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

Circle A has a radius of #2 # and a center of #(4 ,5 )#. Circle B has a radius of #6 # and a center of #(7 ,9 )#. If circle B is translated by #<-2 ,-4 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

A triangle has corners at #(2, 7 )#, #( 8, 3 )#, and #( 4 , 8 )#. If the triangle is dilated by # 7 x# around #(1, 3)#, what will the new coordinates of its corners be?

In #triangleABC#, the interior angle at A is #51^circ# and the exterior angle at B is #119^circ#. The interior angle at C measures what?

A triangle has corners at #(4 ,7 )#, #(2 ,3 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin?

I am a polygon, I have five sides that equal the same, and five angles that measure the same. What am I?

How do you find the equation of a circle in standard form given #x^2+y^2+4x+6y+4=0#?

A parallelogram has sides with lengths of #15 # and #8 #. If the parallelogram's area is #15 #, what is the length of its longest diagonal?

What is the formula to find out the area of irregular pentagon?

A cone has a height of #8 cm# and its base has a radius of #4 cm#. If the cone is horizontally cut into two segments #4 cm# from the base, what would the surface area of the bottom segment be?

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 #5 # and the height of the cylinder is #7 #. If the volume of the solid is #18 pi#, what is the area of the base of the cylinder?

A line segment has endpoints at #(7 ,4 )# and #(8 ,5 )#. If the line segment is rotated about the origin by #(3 pi)/2 #, translated vertically by #-2 #, and reflected about the y-axis, what will the line segment's new endpoints be?

A circle's center is at #(1 ,5 )# and it passes through #(4 ,8 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?

Two corners of a triangle have angles of #(3 pi ) / 8 # and # pi / 4 #. If one side of the triangle has a length of #1 #, what is the longest possible perimeter of the triangle?

A triangle has corners at #(2 ,-5 )#, #(-8 ,4 )#, and #(1 ,-3 )#. If the triangle is dilated by a factor of #2/5 # about point #(-1 ,-2 ), how far will its centroid move?

An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(1 ,0 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner?

The number of square meters in the total surface area of a right circular cylinder, including the top and bottom, is equal to the number of cubic meters in its volume. If the radius of the cylinder is five times its height, what is its volume?

Two opposite sides of a parallelogram each have a length of #12 #. If one corner of the parallelogram has an angle of #(5 pi)/6 # and the parallelogram's area is #32 #, how long are the other two sides?

A line passes through #(3 ,6 )# and #(2 ,8 )#. A second line passes through #(7 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

A triangle has corners at #(6, 7 )#, ( 2, -4)#, and #(9, -1 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

Two rhombuses have sides with lengths of #1 #. If one rhombus has a corner with an angle of #(7pi)/12 # and the other has a corner with an angle of #(3pi)/4 #, what is the difference between the areas of the rhombuses?