


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
What is the formula for area of a trapeziod?
A triangle has corners at #(4 ,4 )#, #(8 ,9 )#, and #(3 ,1 )#. What is the area of the triangle's circumscribed circle?
What is the equation of the circle with a center at #(2 ,1 )# and a radius of #2 #?
Circle A has a center at #(3 ,1 )# and an area of #15 pi#. Circle B has a center at #(5 ,2 )# and an area of #24 pi#. Do the circles overlap?
Point A is at #(-7 ,-1 )# and point B is at #(2 ,-4 )#. Point A is rotated #pi # 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?
The measures of a sphere with a volume of 972pi in^3 are multipled by 1/3. what is the volume of the sphere?
Find the area of a parallelogram with a base of 6 cm and a height of 11 cm?
Is a rectangle a parallelogram always, sometimes or never?
It is given that line MO = line TR and line NP = line QS, where MNOP and TQRS are parallelograms. A student has said that if those statements are true, then MNOP = TQRS. Why is this student incorrect?
A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #3 #, its base has sides of length #2 #, and its base has a corner with an angle of #(3 pi)/4 #. What is the pyramid's surface area?
The base of a triangular pyramid is a triangle with corners at #(7 ,8 )#, #(2 ,3 )#, and #(8 ,3 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?
Point A is at #(-3 ,4 )# and point B is at #(-8 ,1 )#. Point A is rotated #(3pi)/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?
A line segment with endpoints at #(5 , -9 )# and #(2, -7 )# is rotated clockwise by #pi/2#. What are the new endpoints of the line segment?
Two circles have the following equations: #(x -1 )^2+(y -4 )^2= 9 # and #(x +6 )^2+(y +9 )^2= 25 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
Circle A has a center at #(2 ,2 )# and a radius of #5 #. Circle B has a center at #(12 ,8 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them?
What is the an equation of the line that goes through (−1, −3) and is perpendicular to the line #2x + 7y + 5 = 0#?
A triangle has corners A, B, and C located at #(5 ,2 )#, #(2 ,5 )#, and #(8 ,7 )#, respectively. What are the endpoints and length of the altitude going through corner C?
The radii of two concentric circles are 16 cm and 10 cm. #AB# is a diameter of the bigger circle. #BD# is tangent to the smaller circle touching it at #D#. What is the length of #AD#?
Which single transformation that would have the same result as the two transformations (a) rotation by #180^@# about origin and (b) reflection in #y#-axis?
A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #4 # and #5 # and the pyramid's height is #6 #. If one of the base's corners has an angle of #pi/3 #, what is the pyramid's surface area?