Unit 6 Test Review: Pythagorean Theorem & Angle Relationships

The width of a rectangle is 5 feet, and the diagonal length of the rectangle is 18 feet. Which measurement is closest to the length of this rectangle in feet?

• 18.0

• 13

• 17.3

• 18.7

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram.

Lines r and s are parallel and are cut by transversal line t. The measure of one angle is shown to be 27º. What is the measure of angle x?

• 153

• 27

• 180

• 90

The figure below shows a triangle with a ray extending from one vertex. The measure of exterior angle d is equal to the sum of which two interior angles?

• a & b

• a & c

• a & d

• b & c

Lines p and q are parallel and are cut by a transversal line t. One angle measure is shown to be 125º. Which angles are both supplementary with angle 125º?

• w & x

• y & z

• x & y

• w & z

Lines p and q are parallel and are cut by a transversal line t. One angle measure is shown to be 125º. Which angles are both congruent with angle 125º?

• w & x

• y & z

• x & y

• w & z

Based on the triangle, what is the value of angle x?

• 55

• 60

• 65

• 90

Based on the triangle, what is the value of angle y?

• 180

• 120

• 115

• 125

Which measurement is closest to the length of the line shown on the coordinate plane? Round to the nearest tenth.

• 4.5

• 52

• 20

• 7.2

The coordinates of the vertices of a rectangle are A (5, 3), B (5, − 9), C ( − 1, − 9), and D ( − 1, 3). Which measurement is closest to the distance between point A and point C in units?

• 9.1 units

• 10.4 units

• 13.4 units

• 5.8 units