# 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 triangle has corners at #(0, 5 )#, ( 1, -2)#, and #(7, -4 )#. If the triangle is reflected across the x-axis, what will its new centroid be?

A triangle has two corners with angles of # ( pi ) / 2 # and # ( 5 pi )/ 12 #. If one side of the triangle has a length of #19 #, what is the largest possible area of the triangle?

What was the original proof that Pythagoras himself used to prove his theorem?

What is the perimeter of a triangle with corners at #(6 ,0 )#, #(5 ,2 )#, and #(5 ,4 )#?

Triangle A has sides of lengths #5 ,4 #, and #8 #. Triangle B is similar to triangle A and has a side of length #1 #. What are the possible lengths of the other two sides of triangle B?

A circle has a radius of #6x^9y^5#. The area of a circle can be found using A = Pi(radius)^2. What is the area of this circle in square centimeters?

Which special quadrilateral is both a rectangle and a rhombus? Explain how you know Thanks

How do you find the circumference of a circle with a diameter of 6 cm?

In #\triangle DEF#, #M# is the centroid. (i). Find #\overline{MK}# and #\overline{DK}# #" "# (ii). Find #\overline{LM}# and #\overline{LE}# #" "# (iii). Write an expression for #FJ#?

Two corners of a triangle have angles of # (3 pi )/ 8 # and # ( pi ) / 2 #. If one side of the triangle has a length of # 4 #, what is the longest possible perimeter of the triangle?

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 #16 #. What is the area of the triangle's incircle?

The base of a triangular pyramid is a triangle with corners at #(4 ,2 )#, #(3 ,7 )#, and #(5 ,3 )#. If the pyramid has a height of #5 #, what is the pyramid's volume?

A triangle has corners at #(2 ,-2 )#, #(3 ,-1 )#, and #(5 ,7 )#. If the triangle is dilated by a factor of #2/5 # about point #(6 ,-2 ), how far will its centroid move?

A line segment is bisected by a line with the equation # -7 y + x = 3 #. If one end of the line segment is at #(1 ,6 )#, where is the other end?

Circle A has a center at #(5 ,-2 )# and a radius of #2 #. Circle B has a center at #(4 ,6 )# and a radius of #4 #. Do the circles overlap? If not what is the smallest distance between them?

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 #42 # and the height of the cylinder is #6 #. If the volume of the solid is #60 pi#, what is the area of the base of the cylinder?

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

A circle has a chord that goes from #( pi)/6 # to #(11 pi) / 8 # radians on the circle. If the area of the circle is #64 pi #, what is the length of the chord?

The legs of a right triangle measure 10 inches and 4 inches. What is the area of the triangle?

A triangle has corners at #(6 ,2 )#, #(4 ,3 )#, and #(5 ,1 )#. How far is the triangle's centroid from the origin?