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
Why is every rectangle a quadrilateral?
A line segment with endpoints at #(2 , 2 )# and #(6, -3 )# is rotated clockwise by #(3 pi)/2#. What are the new endpoints of the line segment?
Two corners of an isosceles triangle are at #(8 ,3 )# and #(6 ,2 )#. If the triangle's area is #4 #, what are the lengths of the triangle's sides?
A triangle has corners at #(8, 3 )#, ( 2, -2)#, and #(7, -4 )#. If the triangle is reflected across the x-axis, what will its new centroid be?
A triangle has corners at #(7 ,8 )#, #(2 ,4 )#, and #(6 ,3 )#. If the triangle is dilated by a factor of #2 # about point #(6 ,12 ), how far will its centroid move?
What is the perimeter of a triangle with corners at #(7 ,3 )#, #(8 ,5 )#, and #(3 ,9 )#?
A triangle has two corners with angles of # (3 pi ) / 4 # and # ( pi )/ 6 #. If one side of the triangle has a length of #16 #, what is the largest possible area of the triangle?
The sides of a hexagon each equal 116 units. What are its perimeter and its area?
How can an isosceles triangle be identified?
Enter the measure of an exterior angle of a regular pentagon?
How do you verify that parallelogram ABCD with vertices A(-5. -1), B(-9, 6), C(-1. 5). and D(3,-2) is a rhombus by showing that it is a parallelogram with perpendicular diagonal?
What is #x# if the perimeter of a rectangle with sides of #x# and #2x + 6# is #27# in?
Two angles are supplementary. One angle is 5 degrees less than four times the other. What are the measures of the angles?
A cone has a height of #15 cm# and its base has a radius of #4 cm#. If the cone is horizontally cut into two segments #4 cm# from the base, what would the surface area of the bottom segment be?
A line segment has endpoints at #(6 ,5 )# and #(2 ,7 )#. If the line segment is rotated about the origin by # pi #, translated horizontally by # 2 #, and reflected about the x-axis, what will the line segment's new endpoints be?
Triangle A has an area of #12 # and two sides of lengths #6 # and #9 #. Triangle B is similar to triangle A and has a side with a length of #15 #. What are the maximum and minimum possible areas of triangle B?
Why is the area of a circle #pi r^2#?
The base of a triangular pyramid is a triangle with corners at #(6 ,4 )#, #(2 ,1 )#, and #(3 ,2 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?
A line segment goes from #(5 ,2 )# to #(4 ,2 )#. The line segment is reflected across #x=-3#, reflected across #y=-5#, and then dilated about #(2 ,0 )# by a factor of #2#. How far are the new endpoints from the origin?
A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #120 #, what is the length of its longest diagonal?