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 right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #3 #, #2 #, and #5 #, respectively. What is the rectangle's area?
A triangle has corners at #(6 ,7 )#, #(2 ,6 )#, and #(1 ,2 )#. How far is the triangle's centroid from the origin?
Points A and B are at #(2 ,9 )# and #(8 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C?
What are all of the properties of a rhombus?
Given an isosceles right angle triangle with side #s# and a construction of inscribed rectangle MNOP such that PO // MN. Calculate the perimeter and area of rectangle MNOP in terms of #s#?
How does an equilateral triangle have rotational symmetry?
Kara has a cube with side lengths of 4.2 cm. What is the volume of the cube?
A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 1 #. If the angle between sides A and C is #(3 pi)/8 #, what is the area of the parallelogram?
How do you find the area of a parallelogram with two sides and an angle?
What is the area of these two figures?
Two corners of an isosceles triangle are at #(3 ,9 )# and #(6 ,7 )#. If the triangle's area is #4 #, what are the lengths of the triangle's sides?
A line segment has endpoints at #(7 ,5 )# and #(2 ,6)#. If the line segment is rotated about the origin by #(pi )/2 #, translated vertically by #3 #, and reflected about the x-axis, what will the line segment's new endpoints be?
A parallelogram has sides with lengths of #9 # and #8 #. If the parallelogram's area is #18 #, what is the length of its longest diagonal?
Cups A and B are cone shaped and have heights of #24 cm# and #21 cm# and openings with radii of #8 cm# and #11 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
Point A is at #(3 ,-2 )# and point B is at #(5 ,-4 )#. 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?
Which type of transformation does not preserve orientation?
A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 3 #. If the angle between sides A and C is #pi/8 #, what is the area of the parallelogram?
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 #12 cm# from the base, what would the surface area of the bottom segment be?
How do I find the angle between the planes #x + 2y − z + 1 = 0# and #x − y + 3z + 4 = 0#?
Solve for x? Show the equation you used and your work.