Exam 12: Geometry Problems: Complementary Angles, Collinear Points, and Similar Triangles

Which upper case letter has symmetry with respect to exactly one line?

In space, determine the locus of points equidistant from the endpoints of .

It is possible for a triangle to be both isosceles and obtuse.

Where a, b, and c are the lengths of sides, which triangle cannot be drawn?

Which type of figure has symmetry with respect to a point?

The midpoint of the line segment that joins the point (0,0,0) to the point (2,-2,2) is the point (1,-1,1).

For regular pentagon ABCDE, diagonals and are drawn to form . Find m .

For a square whose length of apothem is a, find an expression containing a that represents the area A of the square.

Write the first statement of the indirect proof for this statement: "If coplanar lines l and m are not perpendicular to the same line t, then l and m are not parallel."

-If in , then is an altitude of with respect to base .

-What is the exact surface area for a ball with radius 5 inches?

In the form , find the equation of the line through (0,-3) and (2,1).

-If and are not supplementary, what conclusion can you draw?

-For , the radius has length r and m = 180°. In terms of r, write an expression for the perimeter of the sector bounded by diameter and .

-If a lateral edge is perpendicular to a base edge, then the prism shown is a regular triangular prism.

-If m = 105° and m = 27°, find m .

-The figure (a square) shown has exactly one line of symmetry.

-If and are complementary, then each of these angles 1 and 2 is acute.

and have the same length of base and the same length of altitude. If the area of is 25 , find the area of .

Find the point of intersection for the lines whose equations are and .