# Theodore Abad

Geometry teacher | Verified Expert

I hold a degree in Geometry from California State University, Stanislaus. With a passion for mathematics, I strive to make complex geometric concepts accessible and engaging for students of all levels. My teaching philosophy is centered on creating a supportive and inclusive learning environment where students feel empowered to explore and excel. I believe that understanding the principles of geometry not only enhances problem-solving skills but also fosters critical thinking and creativity. I am dedicated to helping students build a strong foundation in geometry and develop a lifelong love for learning.

## Questions

What is the area of a hexagon with an apothem of 9?

Points A and B are at #(2 ,7 )# and #(8 ,6 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C?

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?

Proof of the shortest distance from a point to a plane formula?

Find the equation of a circle, which passes through origin and has #x#-intercept as #3# and #y#-intercept as #4#? What would have been the equation, if intercepts are reversed?

A circle has a chord that goes from #( 2 pi)/3 # to #(17 pi) / 12 # radians on the circle. If the area of the circle is #9 pi #, what is the length of the chord?

In a 45-45-90 triangle, one of the legs is #2sqrt2#. What is the length of the hypotenuse?

What is the equation of the perpendicular bisector of a chord of a circle?

Find, in terms of x and y , the equation of the perpendicular bisector of the line segment joining the points(-1,2) and (-7,0) . The equation of the perpendicular bisector is .?

A square and a equilateral triangle are to be formed out of the same piece of wire. The wire is 6 inches long. What is the maximum of the total area the square and the triangle?

A line passes through #(2 ,3 )# and #( 4, 1 )#. A second line passes through #( 7, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?

How do you classify the triangle given 2 cm, 2 cm, 2 cm?

A clear plastic prism has six faces, each of which is a parallelogram of side length 1 meter. A diagonal made of nylon filament line connecting two opposite vertices of the solid has a length of 4 meters. ls the solid a cube?

How do you use Heron's formula to find the area of a triangle with sides of lengths #11 #, #14 #, and #18 #?

Circle A has a center at #(9 ,-2 )# and a radius of #1 #. Circle B has a center at #(1 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?

A parallelogram has sides with lengths of #7 # and #16 #. If the parallelogram's area is #32 #, what is the length of its longest diagonal?

What is the approximate distance between points (-7,2) and (11, -5)?

How do you find the perpendicular bisector of a line segment?

A clock tower has a circular clock face with an area of #144pi# square feet. What is the diameter of the clock face?

A triangle has corners at points A, B, and C. Side AB has a length of #12 #. The distance between the intersection of point A's angle bisector with side BC and point B is #4 #. If side AC has a length of #8 #, what is the length of side BC?