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

Which is not a method of reasoning used in geometry?

-If and , which method is used to prove that ?

-In the figure, the exterior sides of the adjacent angles ( and ) form perpendicular rays. How are these angles related?

The triangle with vertices at (0, 0), (0, b), and (a, 0) is a right triangle with the vertex of the right angle at the point (0, 0).

-Because intercepts of , m = m .

Which line is parallel to the graph of ?

If r || s and m = 73°, find m .

-To construct the square ABCD with the diagonal as shown, begin by constructing the perpendicular-bisector of .

-If M and N are midpoints of sides and of , then .

For a box, its height is 4 feet and its volume is 192 . If the length of the rectangular base is 2 feet more than the width of the base, find the width of the base.

-The line shown has a positive slope.

In , chord diameter . With chords and , quadrilateral RSTV is formed. Being as specific as possible, what type of quadrilateral is RSTV?

-In , diagonals and intersect at point T. If MN = 12.5, NP = 8.7, and QN = 14.6, find QT.

The area of any regular polygon with length of apothem a and perimeter P is given by A = aP.

The line with equation y = mx + b has slope m and contains the point (0, b).

-For , M and N are the midpoints of the indicated sides. If and , find the length of .

The triangle with sides of lengths a = 4, b = 5, and c = 7 is an obtuse triangle.

-In equilateral triangle , the orthocenter is point O. If XY = 18 mm, find the distance from point O to any side of .

-Given that , which operation leads to the conclusion that ?

-For the triangle shown, what is the image of the reflection of the given triangle across ?