# 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

What is the sum of the measures of the interior angles of an octagon?

A parallelogram has sides with lengths of #14 # and #12 #. If the parallelogram's area is #24 #, what is the length of its longest diagonal?

(a) Can Kayla conclude that and are similar? Why or why not? (b) Suppose DE = 32 ft. What can Kayla conclude about the width of the river? Explain.

An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,3 )# to #(8 ,9 )# and the triangle's area is #45 #, what are the possible coordinates of the triangle's third corner?

How do you use Heron's formula to find the area of a triangle with sides of lengths #14 #, #9 #, and #15 #?

A triangle has corners A, B, and C located at #(7 ,6 )#, #(8 ,3 )#, and #(2 ,1 )#, respectively. What are the endpoints and length of the altitude going through corner C?

What is the larger angle ? 2x+25 or 3x+15

A triangle has corners at #(1 ,3 )#, #(9 ,2 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin?

Circle A has a center at #(1 ,2 )# and an area of #100 pi#. Circle B has a center at #(7 ,9 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them?

What is the orthocenter of a triangle with corners at #(2 ,6 )#, #(9 ,1 )#, and (5 ,3 )#?

A chord with a length of #2 # runs from #pi/12 # to #pi/8 # radians on a circle. What is the area of the circle?

The side length cube is #3.78 times 10^3# ft. What is the volume of the cube?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/6 #, vertex B has an angle of #(pi)/12 #, and the triangle's area is #4 #. What is the area of the triangle's incircle?

A triangle has corners at #(5 , 2 )#, #(4 ,7 )#, and #(5 ,6 )#. What is the radius of the triangle's inscribed circle?

Points #(6 ,2 )# and #(1 ,5 )# are #(2 pi)/3 # radians apart on a circle. What is the shortest arc length between the points?

A circle has its center at (2,2) and is tangent to both the x-axis and y-axis. A line tangent to this circle intersects the x-axis at (a,0) and the y-axis at (0,b). If the shaded area is equal to the area of the circle, then a + b = ? (EXACT ANSWER).

A triangle has corners at #(4 ,1 )#, #(8 ,3 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin?

A triangle has corners at #(7 ,5 )#, #(2 ,3 )#, and #(1 ,4 )#. What is the area of the triangle's circumscribed circle?

Whats the difference between a quadrilateral and parallelogram?

Which theorem or postulate proves that △ABC and △DEF are similar? The two triangles are similar by the ________