Module 4 Review Guide

• This is a module 4 review guide for a test on Thursday, February 27th.
• It consists of practice quizzes to help prepare for the test.
• 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 and can be constructed using point D located at (1, 1).
• A question asks to circle an answer choice from each list to make statements about triangles true.
• One triangle is with side lengths of 15 inches, 15 inches, and 25 inches.
• One triangle is with angle measures of 95° and 90°.
• A triangle has side lengths of 10 units and 11 units
• A question asks to choose all that apply to which measurements could be a possible length of the third side.
• Kabir sketches one pair of supplementary angles with one angle measuring approximately 35°.
• An image of four pairs of supplementary angles is shown and the student is asked pick which is Kabir's sketch.
• A table asks whether it is possible to create a triangle with each set of side lengths or angle measures.

Topic Quiz B

• The coordinate plane is used to complete parts A-C.
• Part A requires starting at point A (1, 2) to construct triangle ABC.
• The conditions include angle A being 90°, AB being 3 units long, and AC being 2 units long.
• Part B is to use a protractor to find the measures of angles B and C.
• Part C uses triangle ABC from part A to determine whether each statement is true or false.
• Statements include conditions given guarantee a unique triangle.
• A triangle with side lengths of 2 units and 3 units is guaranteed to be a unique triangle.
• A triangle that has the same angle measures as triangle ABC is guaranteed to be a unique triangle.
• Another question asks about how many unique triangles can be constructed with given measurements.
• One is with angle measures of 15° and 35° and an included side length of 10 cm.
• One is with angle measures of 35° and 45° and a non-included side length of 4 inches.
• Multiple choice questions ask which combination of parameters guarantees a unique triangle.
• Lily constructs triangle PQR and Maya constructs another triangle.
• The questions address if Maya constructs a triangle with angle measures of 36°, 48°, and 96°, will Maya's triangle be identical to Lily's triangle and why or why not. It includes choices on if it must or might not be identical, if it's because of the three side lengths or three angle measures, and if it guarantees or does not guarantee uniqueness.
• Multiple questions address if Maya's triangle will or won't be identical to Lily's based on two angle measures, plus a side length.

Topic Quiz C

• The rim of a basketball hoop has a diameter of 45.7 cm.
• Find the circumference of the rim of the basketball hoop by using 3.14 for pi.
• A maze at a park 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.
• Match each label from the given answer choices to its corresponding path.
• Shawn creates a circular garden with a radius of 7.5 feet.
• Shawn encloses the garden with a fence, using 3.14 for pi, find the number of feet of fence Shawn needs.
• Shawn builds a brick walkway around the outside perimeter of the garden that is 4 feet wide.
• Using 3.14 for pi, find the number of square feet Shawn will need to cover with brick.
• Circle A has a radius of 2.3 cm.
• Find the area of circle A.
• Find the circumference of circle A.
• Circle B has a radius that is 3 times the length of the radius of circle A.
• A multiple choice question asks which statement is true about circle A and circle B.

Topic Quiz D

• The surface area of the right rectangular pyramid is to be determined.
• The dimensions are labeled on the image to calculate the surface area.
• Match each figure with its approximate area with a list of options to choose from.

Topic Quiz E

• A right triangular prism is intersected by three different planes, the shape of each cross-section needs to be determined and one letter from the given answer choices is to be written in each box.
• Answer choices are triangle, rectangle, parallelogram, trapezoid, and a line segment
• The volume of the right trapezoidal prism is to be found.
• Question asks to consider the right rectangular prism.
• Indicate whether each figure could result from cutting the right rectangular prism with a plane that is parallel to the base of the prism.
• A list of dimensions of each side of a rectangular prism is given and the measurements are in cm
• Figures to consider if they could be from the rectangular prism are: point, square, triangle, rectangle, and line segment
• The volume of the right rectangular prism is to be determined.
• Yu Yan builds a wooden ramp to race toy cars. The volume of the ramp including the step is needed.
• Dimensions are in inches.
• Abdul has a solid clay right regular pentagonal pyramid.
• A multiple choice question asks to circle one answer choice from each list to make each statement true.
• A plane that cuts a pentagonal pyramid to its base can result in a cross section that is a triangle.
• Options are parallel or at an angle other than 90 degrees, perpendicular, and perpendicular or at an angle other than 90 degrees for each list.
• A plane that cuts a pentagonal pyramid to its base can result in a cross section that is a pentagon.
• Options are parallel or at an angle other than 90 degrees, parallel, and perpendicular or at an angle other than 90 degrees for each list.
• A plane that cuts a pentagonal pyramid to its base can result in a cross section that is a trapezoid.
• Options are parallel or at an angle other than 90 degrees, perpendicular, and perpendicular or at an angle other than 90 degrees for each list.

Additional problems

• Abdul stacks right rectangular prism blocks to make a tower

• The largest faces of each block on the top and bottom.

• How many blocks are stacked to create a tower with a surface area between 220 square centimeters and 230 square centimeters with the dimensions 5cm x 3cm x 2cm .

• Pedro designs the layout for a desk that requires 63.2 square feet of wood for the desktop.

• Given the dimensions of the wood, find the variable named x.

• Lily uses wooden rods to make a tent in the shape of a right triangular prism using 4 wooden rods.

• Lily used fabric to cover all the faces of the tent including the floor with dimensions of 70 in, 66 in, and 47 in.

• How many square inches of fabric do Lily need with a multiple choice to choose from?

Prepare for the upcoming test with this Module 4 review guide. It includes practice quizzes to help you master the material. Answer keys are available on Google Classroom.