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

Where x is the measure of an angle and 0° < x < 90°, the angle is an obtuse angle.

-If m , m , and m = 73°, find x.

-The triple (13,15,18) is a Pythagorean Triple.

Let point E lie in the exterior of . How many tangent lines can be constructed to from point E?

What is the name of the geometric figure that is the theoretical limit of an "inscribed" regular polyhedron whose number of faces increases without limit?

Determine the value of so that the point lies on the plane .

-Given a regular square pyramid, with respect to which figure(s) does this pyramid have symmetry . . . a point, a line, or a plane?

-If a sector of a circle has arc measure 120°, then its area equals one-third the area of the circle.

-In the figure, bisects of . Complete the proportion that follows. ?

The intersection of the lines x = a and y = b is the point (b, a).

-An angle is the union of two rays that have a common endpoint.

Each side of square MNPQ measures 8 inches. When the midpoints of the sides of the square are joined in order, quadrilateral HJKL is formed. What is the perimeter of HJKL?

What is the locus of points that are at distance 3 cm from the sphere with center S and whose length of radius is 3 cm.?

If in , then .

-For two isosceles triangles, the vertex angles are congruent. How are the two triangles related?

Through a point not on a given line, there is exactly one line parallel to the given line.

-The circles shown have 4 common tangents, two of which are internal and two of which are external.

-In the figure, and transversal t. If and , find x.

-What type of quadrilateral is shown? Be as specific as possible.

An equilateral triangle has an inscribed circle with the length of radius 3 inches. Find the exact length of each side of the equilateral triangle..