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

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

If in , then .

Find the y-coordinate of point X = (4,?), a point that lies on the graph of the equation .

What type of polygon has exactly 8 sides?

-In , . Which sides of must be congruent?

The planes x + 2y + z = and 3x + y - 2z = intersect in a line. Determine the point on this line of intersection for which x = .

The relation between lines, "is perpendicular to," has a transitive property.

Given that the three sides of a triangle have measures of 5, 8, and x, find possible perimeters (P) of that triangle. Express the answer as an inequality.

-A postulate is accepted without proof while a theorem is a statement that must be proved.

-When the midpoints of the sides of a quadrilateral are joined in order, the quadrilateral formed is always a square.

-The volume of a right circular cone is exactly . If the altitude of the cone has a length of 12 feet, what is the length of radius of the circular base?

-In , , , and . find .

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

Where 0° 45°, which number is larger . . . sin or sin( °)?

In a 30°-60°-90° triangle, the hypotenuse has a length of 20 cm. Find the exact perimeter of this triangle.

-Given kite ABCD with and , the diagonals (if drawn) would be perpendicular. For diagonals and , what other relationship exists?

-For a right circular cylinder with radius of base r and length of altitude h, the formula for the lateral area L is:

Which property justifies this conclusion? If X is a point on and R-X-S, then .

-In , it is given that is a right angle. What word characterizes the relationship between and ?

-Given that r || s and transversal t, ∠1 and ∠6 are supplementary.