Jayden Jackson
Geometry teacher | Tutor for 6 years
Greetings! I'm a Geometry enthusiast with a degree from Thomas Jefferson University. I'm passionate about making complex geometric concepts understandable and enjoyable for students. Let's explore the fascinating world of shapes, angles, and proofs together!
Questions
Segment AB contains points A, X, Y, and B. X is the midpoint of segment AY, and Y is the midpoint of segment XB. How would you prove that segment AX is congruent to segment YB?
How to find the equation of the line which passes through the point of intersection of the lines 7x − 3y − 19 = 0 and 3x + 2y + 5 = 0, give that the line is parallel to the line with the equation y = 2x + 1?
Two angles are supplementary. The larger angle is 66 degrees larger then the smaller angle. Find the measure of both angles?
A triangle has corners at #(3 ,7 )#, #(7 ,9 )#, and #(4 ,6 )#. What is the area of the triangle's circumscribed circle?
What is an equation of the line that has a y-intercept of -2 and is perpendicular to the line #x-2y = 5#?
Points A and B are at #(4 ,5 )# and #(6 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C?
An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #4 # and the triangle has an area of #36 #. What are the lengths of sides A and B?
How do you find the area of a kite?
A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #36 # and the height of the cylinder is #6 #. If the volume of the solid is #108 pi#, what is the area of the base of the cylinder?
A triangle has sides with lengths of 2, 3, and 8. What is the radius of the triangles inscribed circle?
A triangle has corners at points A, B, and C. Side AB has a length of #6 #. The distance between the intersection of point A's angle bisector with side BC and point B is #3 #. If side AC has a length of #4 #, what is the length of side BC?
Two rhombuses have sides with lengths of #3 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(7pi)/8 #, what is the difference between the areas of the rhombuses?
What is the measure of each interior angle of a regular Pentagon?
How do you use Heron's formula to find the area of a triangle with sides of lengths #2 #, #5 #, and #5 #?
A triangle has corners at points A, B, and C. Side AB has a length of #9 #. 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 #21 #, what is the length of side BC?
A circle has a center at #(1 ,3 )# and passes through #(2 ,4 )#. What is the length of an arc covering #pi /4 # radians on the circle?
Circle A has a center at #(5 ,2 )# and a radius of #2 #. Circle B has a center at #(1 ,-2 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them?
What is the centroid of a triangle with corners at #(4,1 )#, #(6,3 )#, and #(5 , 1 )#?
Given: A line segment AC with AB=BC Prove: 1/2AC=BC?
A triangle has corners at #(2 , 1 )#, #(3 ,3 )#, and #(1 ,2 )#. What is the radius of the triangle's inscribed circle?