# James Atkins

Geometry teacher | Experienced educator in USA

I specialize in Geometry, holding a degree from Slippery Rock University of Pennsylvania. My passion lies in unraveling the intricacies of shapes, angles, and spatial relationships. With a keen eye for patterns and structures, I help students navigate the fascinating world of geometry with clarity and confidence. Whether exploring Euclidean proofs or delving into three-dimensional figures, I'm here to support learners on their journey to geometric mastery. Let's unlock the mysteries of shapes together and pave the way to mathematical understanding.

## Questions

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

A line segment has endpoints at #(5 ,5 )# and #(3 ,5 )#. The line segment is dilated by a factor of #1/2 # around #(3 , 2)#. What are the new endpoints and length of the line segment?

In an isosceles triangle LMN, LM=39cm, NL=39cm and MN = 27cm, how do you calculate the height of the triangle LMN?

A rectangular garden is 28 feet long. If you walk diagonally across the garden, you would walk 35 feet. How many feet wide is the garden?

A line passes through #(9 ,2 )# and #( 3, 8 )#. A second line passes through #( 4, 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

A rectangle with sides 7 and #x+2# has a perimeter of 40 units. What is the value of #x#?

A line passes through #(3 ,6 )# and #(4 ,8 )#. A second line passes through #(7 ,9 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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 #18 # and the height of the cylinder is #1 #. If the volume of the solid is #21 pi#, what is the area of the base of the cylinder?

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?

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 #8 #. If the volume of the solid is #48 pi#, what is the area of the base of the cylinder?

A triangle has corners A, B, and C located at #(2 ,3 )#, #(5 ,8 )#, and #(3 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?

Circle A has a center at #(3 ,7 )# and an area of #56 pi#. Circle B has a center at #(9 ,6 )# and an area of #28 pi#. Do the circles overlap?

What is the area of a rectangle with sides 3 m and 9.1 m?

What is a function that models the area of an equilateral triangle in terms of the length #x# of ones of its sides?

Two rhombuses have sides with lengths of #9 #. If one rhombus has a corner with an angle of #(3pi)/8 # and the other has a corner with an angle of #(7pi)/12 #, what is the difference between the areas of the rhombuses?

Please solve q 12 ?

The image below displays that the water leakage happens from the bottom of the trough at a constant rate. 2hrs later, the level of the water has fallen by 20cm. How many more mins will it take for the trough to empty completely?

How can a quadrilateral be classified?

A circle has a center that falls on the line #y = 7/9x +7 # and passes through # ( 4 ,5 )# and #(8 ,7 )#. What is the equation of the circle?

Triangle A has an area of #3 # and two sides of lengths #5 # and #6 #. Triangle B is similar to triangle A and has a side with a length of #11 #. What are the maximum and minimum possible areas of triangle B?