


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
An equilateral triangle has side length 6. If a horizontal line is placed in the figure such that the triangle is split into two sections of equal area, how high must the line be?
Point A is at #(2 ,-3 )# and point B is at #(6 ,-6 )#. 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?
Prove that if midpoints of non-parallel sides of a trapezium are joined, this line is parallel to parallel sides of the trapezium?
What is XY? in meters
A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #pi/12 #, and the triangle's area is #8 #. What is the area of the triangle's incircle?
If the diameter of a circle is #1.3*10^-12# meters, then what is its radius?
Two corners of a triangle have angles of #pi / 3 # and # pi / 6 #. If one side of the triangle has a length of #4 #, what is the longest possible perimeter of the triangle?
A triangle has corners at points A, B, and C. Side AB has a length of #15 #. The distance between the intersection of point A's angle bisector with side BC and point B is #6 #. If side AC has a length of #18 #, what is the length of side BC?
Cups A and B are cone shaped and have heights of #22 cm# and #25 cm# and openings with radii of #6 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?
Two opposite sides of a parallelogram each have a length of #16 #. If one corner of the parallelogram has an angle of #( pi)/3 # and the parallelogram's area is #64 #, how long are the other two sides?
A parallelogram has sides A, B, C, and D. Sides A and B have a length of #5 # and sides C and D have a length of # 8 #. If the angle between sides A and C is #pi/3 #, what is the area of the parallelogram?
Point B(6, −3) is translated using the rule (x−5, y+9). What is the y-coordinate of B' ?
How many right angles does a hexagon have?
Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 58.5 degrees. What are the measures of the small and large angle?
What is the orthocenter of a triangle with corners at #(1 ,3 )#, #(5 ,7 )#, and (2 ,3 )#?
Two opposite sides of a parallelogram have lengths of #12 #. If one corner of the parallelogram has an angle of #pi/8 # and the parallelogram's area is #32 #, how long are the other two sides?
How do you use Heron's formula to find the area of a triangle with sides of lengths #8 #, #8 #, and #8 #?
A line segment has endpoints at #(2 ,3 )# and #(8 ,9 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #-8 #, and reflected about the x-axis, what will the line segment's new endpoints be?
What is the center, radius, and intercepts of the circle # (x-3)^2+(y+7)^2 = 16#?
How would you find the area of an equilateral triangle using the Pythagorean Theorem?