Geometry Mock Fall Final

Use the distance formula to calculate the area of the rectangle shown.

• 45 units²

• 58 units²

• 98 units ²

• 145 units²

Lines f and g are cut by the transversal d. The measure of angle 1 = 2x + 24 and the measure of angle 8 = 4x - 28. What value of x will show that lines f and g are parallel?

• 8.67

• 26

• 30.67

• 35

Find the midpoint of segment AB given the graph.

• (-1, 5)

• (-0.5, 2.5)

• (0, 2)

• (-2.5, 1.5)

Which equation represents the line that is perpendicular to 2y = x + 2 and passes through the point (4,3)?

• y = 1/2x - 5

• y = 1/2x + 1

• y = -2x + 11

• y = -2x - 5

In the figure, line l is parallel to line n. We know the sum of the measures of angles 1, 2, and 3 = 180 degrees. What is the justification for steps 1 and 2?

• alternate interior angles conjecture

• alternate exterior angles conjecture

• corresponding angles conjecture

• vertical angles theorem

In the diagram of triangle DAE and triangle BCE, segments AB and CD intersect at E, such that E is the midpoint of segment AB and angle CBE is congruent to angle DAE. The triangle are congruent by:

• ASA

• AAS

• SAS

• HL

• AAS; CPCTC

• ASA; CPCTC

• SAS; CPCTC

• SSS; CPCTC

In the triangles shown, triangle ABC is similar to triangle XYZ. If angle A measures 30 degrees and angle B measures 100 degrees, what is the measure of angle Z?

• 20 degrees

• 30 degrees

• 33 degrees

• 50 degrees

What is the measure of x?

• 11

• 14

• 19

• 25

• A

• B

• C

• D