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?