# Evelyn Arboleda

Geometry teacher | Verified Expert

I hold a degree in Geometry from Dakota State University. My passion lies in unraveling the intricacies of shapes and space, guiding students through the wonders of geometric concepts. With a knack for simplifying complex ideas, I foster a supportive learning environment where students thrive. Whether exploring angles, polygons, or proofs, I'm dedicated to illuminating the beauty and logic of Geometry. Let's embark on this geometric journey together!

## Questions

Two rhombuses have sides with lengths of #8 #. If one rhombus has a corner with an angle of #pi/4 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?

The measures of two angles of a triangle are 52 and 89. What is the measure of the third angle?

If a regular hexagon has perimeter 96 m. What is the length of each side of the hexagon?

What does the following graph tell us about Janet and Sophie's journey?

A triangle has corners at #(2, 5 )#, #( 1, 3 )#, and #( 4 , 2 )#. If the triangle is dilated by # 7 x# around #(1, 3)#, what will the new coordinates of its corners be?

A right-angled triangle has an angle of #28^circ# and a hypotenuse of #8# cm. What are the lengths of the other two sides?

A trapezoid has a height of 6 cm and bases of 8 and 10 cm. What is the area of the trapezoid?

A cone has a height of #36 cm# and its base has a radius of #9 cm#. If the cone is horizontally cut into two segments #24 cm# from the base, what would the surface area of the bottom segment be?

A circle has a center that falls on the line #y = 1/4x +4 # and passes through # ( 3 ,7 )# and #(7 ,1 )#. What is the equation of the circle?

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

Point A is at #(-8 ,2 )# and point B is at #(7 ,-1 )#. Point A is rotated #pi/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?

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

Five times the complement of an angle less twice the angle's supplement is 450. How do you find the the measure of the supplement?

A triangle has corners at points A, B, and C. Side AB has a length of #15 #. The distance between the intersection of point A's angle bisector with side BC and point B is #5 #. If side AC has a length of #16 #, what is the length of side BC?

Can a rectangle be a rhombus?

A right trapezoidal prism has base dimensions of #40 cm and 56 cm# and a height of #30 cm#. Calculate the volume, surface area and the weight of the prism, knowing it is #120 cm# high and has a density of #2.5 gm/cm^3#?

If the length of a rectangular planting field is 10 km and the width is x+1 km, for what values of x would the area of the planting field be greater than the perimeter?

What is the orthocenter of a triangle with corners at #(7 ,3 )#, #(4 ,8 )#, and (6 ,3 )#?

What is the perimeter of a triangle with corners at #(3 ,0 )#, #(5 ,2 )#, and #(5 ,4 )#?

Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 14 #, what is the longest possible perimeter of the triangle?