Geometry Unit Review

Volume and Surface Area

25 yd 4 yd

3 yd

Determine the volume of the triangular prism.

Determine the surface area of the prism if the perimeter of the base is 18 yd.

Triangle Sum Theorem

What is the measure of angle C? Explain using the triangle sum theorem.

Parallel Lines

Which line is the transversal?

Which angles are congruent to angle 1?

Name two pairs of supplementary angles.

Parallel Lines

Which angles are alternate interior angles?

Which angles are alternate exterior angles?

Transformations

What would be the coordinates of point A if the trapezoid was translated 4 units to the right?

What would be the coordinates of point C after a reflection across the y axis?

What would be the coordinates of point B after a 90° counterclockwise rotation?

Volume of a Compound Figure

Find the volume of the figure.

35 ft

18 ft

18 ft

7 ft

Scale Factors

Scale factor Length (l) Width (w) Height (h)

2 3 • 2 = 6 in² 2 • 2 = 4 in² 1 • 2 = 2 in²345

Scale factor Volume2 6 •4 •2 = 48 in³345

A pair of die has a length of 3 in., a width of 2 in., and a height of 1 in.

•Complete the chart to find the length, width, and height of the die with the given scale factors. Show your work.

•Find the volume of the die with the given length, width, and height above. Show your work.

Congruent Triangles

• Triangle ABC is Congruent to Triangle EDF.

What is the measure of side DF?

Angle A is 65°. What other angle measure can we find, and what is that measure?

Measure of a Trapezoid

What is the area of the trapezoid? Use proper units.

If the legs of the trapezoid are 4 cm and 3 cm, What is the perimeter of the figure? Use proper units.

Triangle Measurements

What is the Area and Perimeter of this figure?