Geometry Module 4 Review

• This is a Module 4 review guide.
• The Module 4 test is on Thursday, February 27th.
• Practice quizzes should be used for review.
• The answer key is posted to Google Classroom.

Topic Quiz A

• Rectangle DEFG has a width of 2 units and a length of 5 units.
• Point D is located at (1, 1).
• Circle the answer choice to make each statement true.
• There is a triangle with side lengths of 15 inches, 15 inches, and 25 inches.
• There is a triangle with angles of 95° and 90°.
• A triangle has side lengths of 10 and 11 units.
• Choose all possible lengths for the third side.
• Kabir sketches supplementary angles, one of which is approximately 35°.
• Indicate whether a triangle can be created with each set of side lengths or angle measures.

Topic Quiz B

• Use the coordinate plane to complete parts A-C.
• Start at point A (1, 2) to construct triangle ABC.
• Angle A is 90°.
• Length of AB is 3 units.
• Length of AC is 2 units.
• Use a protractor to find the measure of angle B and angle C.
• Use triangle ABC from part A to determine whether statement is true or false.
• Determine if the conditions given in part A guarantee a unique triangle.
• Determine if a triangle with side lengths of 2 units and 3 units is guaranteed to be unique.
• Determine if a triangle that has the same angles as triangle ABC is guaranteed to be unique.
• Determine how many unique triangles can be constructed with the given measurements.
• Determine how many triangles are constructed with angle measures of 15° and 35° and an included side length of 10 cm.
• Determine how many triangles can be constructed with angle measures of 35° and 45° and a non-included side length of 4 inches.
• Choose which conditions guarantee a unique triangle (choose all that apply).
• Angle measures of 35°, 65°, and 80°.
• Side lengths of 6 inches, 5 inches, and 4 inches.
• Side lengths of 4 cm and 6 cm with an included angle measure of 45°.
• Angle measures of 20° and 50° with an included side that is 3 inches long.
• Angle measures of 30° and 90° with a non-included side that is 10 cm long.
• If Maya constructs a triangle with angle measures of 36°, 48°, and 96°, determine if Maya’s triangle is identical to Lily’s triangle.
• Determine if Maya's triangle is identical to Lily's triangle if Maya constructs a triangle with angle measures of 36° and 48° and an included side with a length of 12 cm.
• Determine if Maya's triangle is identical to Lily's triangle if Maya constructs a triangle with angle measures of 36° and 48° and a non-included side with a length of 7cm.

Topic Quiz C

• The rim of a basketball hoop has a diameter of 45.7 cm.
• Find the circumference of the rim using 3.14 for π.
• The maze has three circular walking paths.
• Path A is in the shape of a circle with a radius of 13 meters.
• Path B is in the shape of a circle with a diameter of 39 meters.
• Path C is in the shape of a circle with a circumference of 40.82 meters.
• Shawn creates a circular garden with a radius of 7.5 feet.
• Shawn encloses the garden with a fence.
• Using 3.14 for π, find the number of feet of fence Shawn needs
• Shawn builds a brick walkway around the outside perimeter of the garden.
• The walkway is 4 feet wide.
• Using 3.14 for π, find the number of square feet Shawn will need to cover with brick.
• Find the area of circle A when the radius is 2.3 cm.
• Find the circumference of circle A when the diameter is 2.3 cm.
• There is another circle, circle B, which has a radius that is three times the length of the radius of circle A.
• Determine the relationship between the area of circle A to the area of circle B.

Topic Quiz D

• Find the surface area of the right rectangular pyramid when the dimensions are:
• base side = 5 yd
• pyramid height = 7.6 yd
• side height = 8 yd
• Match each figure with its approximate area.
• Abdul stacks blocks that are right rectangular prisms with dimensions 5cm x 3cm x 2cm.
• Find how many blocks are stacked to create a tower with a surface area between 220 square centimeters and 230 square centimeters.
• Pedro designs the layout for a desk.
• Find the unknown dimension of the desk when the total area required is 63.2 sq ft.
• Lily uses wooden rods to make a tent in the shape of a right triangular prism.
• Find how many square inches of fabric does Lily need to cover her tent.

Topic Quiz E

• A right triangular prism is intersected by three different planes.
• Identify the shape of each cross section.
• Consider a right trapezoidal prism and find the volume.
• Consider the right rectangular prism and indicate whether each figure could result from cutting with a plane that is parallel to the base of the prism.
• Point
• Square
• Triangle
• Rectangle
• Line segment
• Find the volume of the right rectangular prism.
• Yu Yan builds a wooden ramp to race toy cars, composed of right rectangular prisms and a right triangular prism.
• Find the total volume of the ramp.
• Abdul has a solid clay right and regular pentagonal pyramid.
• Determine which answer choice makes each statement true.
• A plane that cuts a pentagonal pyramid to its base can result in a cross section that is a triangle.
• A plane that cuts a pentagonal pyramid to its base can result in a cross section that is a pentagon.
• A plane that cuts a pentagonal pyramid to its base can result in a cross section that is a trapezoid.