Geometry Unit Test

A rectangle has a diagonal of length 15 units, and one side of length 4 units. What is the perimeter of the rectangle?

A 15-foot ladder leaning against a wall makes an angle of elevation 50 degrees with the ground. How far up the wall is the ladder, to the nearest foot?

In the accompanying diagram of triangle RUN the measure of angle U = 90 degrees, the measure of angle N = 37 degrees, and RN = 51 inches. What is the length of RU, expressed to the nearest tenth of an inch?

Which segment is skew to AB

• AD

• EF

• CD

• none of these

Which segment is parallel to AB

• AD

• EF

• CD

• none of these

The plane containing EF and CD is

• plane CEF

• plane CDEF

• plane CDE

• none of these

• same side interior

• alternate interior

• corresponding

• none of these

Consider the partial construction of a line parallel to t, through point Q. What would be the final step in the construction?

• Draw a line through points O and F

• Draw a line through points Q and F

• Draw a line through points O and Q

• Draw a line through points P and F

Once the construction is complete, which of the following reasons listed contribute to providing the validity of the construction?

• If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.

• If two parallel lines are cut by a transversal, then the same-side interior angles are supplementary.

• If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

• If two parallel lines are cut by a transversal, then the corresponding angles are congruent.