


Violet Aldrich
Geometry teacher | Experienced educator in USA
I'm a passionate educator specializing in geometry, with a degree from Siena College. My dedication to shaping young minds stems from a deep love for the intricacies of geometric concepts. With a firm belief in nurturing curiosity and critical thinking, I guide students to explore the beauty and logic of shapes and spatial relationships. Whether unraveling the mysteries of angles or delving into the elegance of proofs, I strive to make geometry accessible and engaging for learners of all levels. Let's embark on a journey of geometric discovery together!
Questions
A circle's center is at #(9 ,6 )# and it passes through #(6 ,2 )#. What is the length of an arc covering #(5 pi ) /6 # radians on the circle?
A line passes through #(5 ,8 )# and #(2 ,9 )#. A second line passes through #(1 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?
How do you use Heron's formula to find the area of a triangle with sides of lengths #12 #, #5 #, and #7 #?
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 #33 # and the height of the cylinder is #13 #. If the volume of the solid is #256 pi#, what is the area of the base of the cylinder?
A line passes through #(3 ,4 )# and #(7 ,3 )#. A second line passes through #(8 , 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
What is the perimeter of a triangle with corners at #(6 ,0 )#, #(5 ,2 )#, and #(5 ,4 )#?
What is the centroid of a triangle with corners at #(9 , 5 )#, #(6 , 0 )#, and #(2 , 3 )#?
A triangle has two corners of angles #pi /6# and #(pi)/2 #. What are the complement and supplement of the third corner?
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?
Circle A has a center at #(5 ,-4 )# and a radius of #7 #. Circle B has a center at #(-6 ,-8 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them?
Two corners of a triangle have angles of #(3 pi ) / 8 # and # pi / 3 #. If one side of the triangle has a length of #2 #, what is the longest possible perimeter of the triangle?
If base of a triangle is #6.5# and its height is #6.5sqrt3#, what is its area?
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?
What does isosceles mean in geometry?
Prove Euclid's right traingle Theorem 1 and 2: #ET_1 =>\overline{BC}^{2} = \overline{AC}*\overline{CH};# #ET'_1 =>bar(AB)^{2} =bar(AC)*bar(AH)#; #ET_2 =>barAH^{2} = \overline{AH}*\overline{CH}#? / 3 # and # ( pi ) / 6 #. If one side of the triangle has a length of # 7 #, what is the longest possible perimeter of the triangle?
What is the equation of the circle with a center at #(6 ,-1 )# and a radius of #2 #?
A circle's center is at #(2 ,6 )# and it passes through #(3 ,1 )#. What is the length of an arc covering #(2pi ) /3 # radians on the circle?
In the figure, M is a center of the circle, F is the intersection of the lines AC and BD, and E is the intersection of the lines CM and BD. The line CM is perpendicular to the line BD. If the measure of angle MBE is #32^o#, the measure of angle CFD is . ?
What is the approximate circumference of a circle with the radius 3?