Exam 3: Parallel Lines

Assuming that (i)and (ii)are true statements, what conclusion can you deduce? (i)If x = 5, then x 3. (ii)x 3

If and are both right angles, then one can conclude that:

When two parallel lines are cut by a transversal, what relationship exists between a pair of interior angles on the same side of the transversal?

For , there is an exterior angle at vertex Z . If m = 68 ° and m = 47 ° , find m .

The statement, "The midpoint of a line segment is unique" is proven by the indirect method.

The indirect proof of the statement, "If is not perpendicular to , then ∠1 and ∠2 are not complementary" begins with the statement, "Suppose that ∠1 and ∠2 are complementary."

If m = 37 ° and m = 76 ° in , it follows that m = 77 ° .

When two parallel lines are cut by a transversal, and are a pair of alternate interior angles formed. If and , find x .

Assuming that a figure has point symmetry, what is the largest number of points of symmetrythat a figure can have?

For parallel lines a and b , and are corresponding angles. If   and , find x .

A pentagon has the same number of diagonals as it has sides.

How many lines of symmetry does the square have?

What type of polygon has exactly 8 sides?

Of the upper-case letters R, S, and T, which one has line symmetry?

If m = 57 ° and m = 123 ° , then r || s .

In , m = 84 ° and m = 42 ° . The bisectors of and meet at the point V in the interior of . What is the measure of ?

The statement, "If 2 parallel lines are cut by a transversal, then corresponding angles are congruent" can be used to prove that 2 lines are parallel.

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

Two parallel lines l and m are cut by transversal t . For a pair of interior angles on one side of line t , the angle-bisectors are drawn to meet at point E. Find m .

In the figure, . If    and   , find x .