Sophia Alfred
Geometry teacher | Experienced educator in USA
I'm a Geometry expert, graduating from Shepherd University. My passion lies in unlocking the mysteries of shapes and spaces. With a knack for simplifying complex concepts, I empower students to conquer geometric challenges with confidence. Let's navigate the world of angles and proofs together!
Questions
Does every parallelogram have at least one right angle?
A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/4 #, and the triangle's area is #28 #. What is the area of the triangle's incircle?
A triangle has sides of lengths 4, 3, and 5. Is it a right triangle?
A triangle has two corners with angles of # pi / 12 # and # pi / 12 #. If one side of the triangle has a length of #9 #, what is the largest possible area of the triangle?
A line segment has endpoints at #(1 ,4 )# and #(7 ,3 )#. The line segment is dilated by a factor of #3 # around #(2 ,6 )#. What are the new endpoints and length of the line segment?
In an equilateral triangle, what is the difference be-tween the sum of the exterior angles and the sum of the interior angles?
Circle A has a center at #(3 ,4 )# and an area of #16 pi#. Circle B has a center at #(8 ,1 )# and an area of #40 pi#. Do the circles overlap?
How do you find the perimeter of an isosceles triangle whose base is 16 dm and whose height is 15 dm?
The perimeter of a parallelogram is 48, with the length of a shorter side being 10. What is the length of one of the longer sides?
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft^3, how deep is the poo?
Lakia wants to make an enclosed paper basket shaped like a cone for May Day. The slant height of the cone measures 8 inches and the circular opening measures 5 inches across. How much paper does she need for the basket? Use 3.14 for pi.
Volume and Surface Area Question?
One end of a guy wire will attach to a telephone pole 10 feet above the ground. The other end of the guy wire will attach to a bracket located 30 feet from the base of the pole. How long of a guy wire is needed?
Two corners of a triangle have angles of #pi / 3 # and # pi / 2 #. If one side of the triangle has a length of #7 #, what is the longest possible perimeter of the triangle?
Draw a line l and a point A not lying on l. Draw the line m that is passing through A and parallel to #l#?
When is a rhombus a regular polygon?
Triangle A has sides of lengths #54 #, #44 #, and #32 #. Triangle B is similar to triangle A and has a side of length #4 #. What are the possible lengths of the other two sides of triangle B?
Circle A has a radius of #6 # and a center of #(2 ,5 )#. Circle B has a radius of #3 # and a center of #(1 ,7 )#. If circle B is translated by #<3 ,1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
What is the area of a circle with radius of 10 cm?
How do you find the radius of a circle with equation #(x-5)^2+(y-3)^2=r^2# that contains the point at (5,1)?