# Sadie Adams

Geometry teacher | Verified Expert

Greetings! I'm a dedicated geometry expert, honing my skills at Loyola University Maryland. Passionate about shaping mathematical minds, I thrive on unraveling the complexities of geometry. With a commitment to fostering understanding, I'm here to guide students through the intricacies of shapes, angles, and the beauty of mathematical relationships. Let's embark on a journey of geometric exploration together!

## Questions

A picture frame is shaped as a heptagon. The measure of one angle is 144°. The remaining interior angles are congruent. What is the measure of each remaining interior angle in the picture frame?

A line passes through #(3 ,5 )# and #(6 ,8 )#. 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?

A trapezoid has an area of #160# #cm^2#. The length of one base is #20# #cm# and the height is #10# #cm#. What is the length of the other base?

A line segment is bisected by a line with the equation # - 4 y + x = 1 #. If one end of the line segment is at #( 7 , 2 )#, where is the other end?

A cylindrical barrel has a radius of 7.6 ft and a height of 11.8 ft. Tripling what dimension(s) will triple the volume of the barrel?

A triangle has corners A, B, and C located at #(2 ,7 )#, #(5 ,3 )#, and #(2 , 4 )#, respectively. What are the endpoints and length of the altitude going through corner C?

Two corners of a triangle have angles of #pi / 3 # and # pi / 2 #. If one side of the triangle has a length of #9 #, what is the longest possible perimeter of the triangle?

A polygon has 7 sides. What is the sum of the measure of the exterior angles of the polygon?

Two rhombuses have sides with lengths of #15 #. If one rhombus has a corner with an angle of #(3pi)/8 # and the other has a corner with an angle of #(5pi)/6 #, what is the difference between the areas of the rhombuses?

If the garden Is a square with a perimeter of 260 ft, what is the area of the walkway in square feet?

What is an equation in slope-intercept form of the line that is perpendicular to the graph of #y=2x+3# and passes through (3, -4)?

Using the Pythagorean Theorem, is a triangle with sides measuring the following a right triangle: #12, 9, 15#?

Triangle A has sides of lengths #32 #, #40 #, and #16 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the possible lengths of the other two sides of triangle B?

If the perimeter of a **scalene** triangle is 54.6 cm. What equation can be used to find the value b if side a **measures** 8.7 cm.?

What is the length of EF⎯⎯⎯⎯⎯?

Two opposite sides of a parallelogram each have a length of #16 #. If one corner of the parallelogram has an angle of #(5 pi)/8 # and the parallelogram's area is #64 #, how long are the other two sides?

The base of a triangular pyramid is a triangle with corners at #(3 ,4 )#, #(2 ,7 )#, and #(3 ,6 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?

A triangle has corners at #(5 ,6 )#, #(4 ,3 )#, and #(2 ,5 )#. What is the area of the triangle's circumscribed circle?

The base of a triangular pyramid is a triangle with corners at #(3 ,4 )#, #(2 ,9 )#, and #(5 ,7 )#. If the pyramid has a height of #7 #, what is the pyramid's volume?

Identify the transformation that does NOT map the figure onto itself? A)Reflect across the line y = 1 B) Reflect across the line x = 1 C) Rotate 180° about the point (1, 1) D) Rotate 180° about the origin (0, 0)