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 #12 #, #3 #, and #5 #, respectively. What is the rectangle's area?
A right triangle has two sides that are each 12 feet long. To the nearest foot, what is the length of the third side?
How do we find the equation of perpendicular bisector of a segment whose end points are #(-2,-1)# and #(-18,-5)#?
Point A is at #(6 ,7 )# and point B is at #(-3 ,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?
Circle A has a radius of #3 # and a center of #(2 ,7 )#. Circle B has a radius of #2 # and a center of #(6 ,1 )#. If circle B is translated by #<2 ,7 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
A line segment with endpoints at #(3 , -2 )# and #(5, 8 )# is rotated clockwise by #(3 pi)/2#. What are the new endpoints of the line segment?
A line segment is bisected by a line with the equation # - 3 y + 6 x = 5 #. If one end of the line segment is at #( 3 , 3 )#, where is the other end?
The base of a triangular pyramid is a triangle with corners at #(2 ,2 )#, #(3 ,1 )#, and #(7 ,3 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?
A chord with a length of #1 # runs from #pi/4 # to #pi/2 # radians on a circle. What is the area of the circle?
A rectangle with sides 7 and #x+2# has a perimeter of 40 units. What is the value of #x#?
A circle has a center that falls on the line #y = 3/8x +3 # and passes through # ( 1 ,4 )# and #(2 ,9 )#. What is the equation of the circle?
A line segment has endpoints at #(4 ,3 )# and #(2 ,6 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment?
Two circles have the following equations #(x -1 )^2+(y -4 )^2= 64 # and #(x +3 )^2+(y +1 )^2= 9 #. 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?
A line segment is bisected by a line with the equation # -3 y + x = 1 #. If one end of the line segment is at #(1 ,6 )#, where is the other end?
How do you classify the triangle given 2 cm, 2 cm, 2 cm?
What is the area of a rectangle with sides 3 m and 9.1 m?
A rectangle is three times as long as it is wide. The perimeter is 36 cm. What is the length of each side?
Circle A has a center at #(2 ,7 )# and an area of #81 pi#. Circle B has a center at #(4 ,3 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them?
ABCD is a parallelogram. Find the measure of <A? 40 120 20 160
How large is an angle whose supplement is three times its complement?