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Grade 7 Unit 5 Geometry Study Guide
1. MCC7.G.2 The set of lengths, 4cm, 6cm, 12 cm, will NOT create a triangle because:
2. MCC7.G.2 Asia constructs a triangle with one side 9 inches long and another side 6 inches long. What must be
true about a possible length for the third side?
3.
MCC7.G.2 What best describes a triangle with angles measuring 50°, 40°, and 110°?
4.
MCC7.G.2 Randy constructs a triangle with angles measuring 53° and 47°. What must be true of measure of
the third angle in her construction?
5.
MCC7.G.3 A rectangular prism has been cut parallel to its base. What are the possibilities of the shape of the
cross-section formed?
6.
MCC7.G.3 A rectangular pyramid was cut parallel to its base as shown below. What are the possible shapes of
the cross section formed after the cut?
7. MCC7.G.3 The rectangular prism is being sliced by a plane parallel to its base. What is the shape of the cross
section formed?
8. MCC7.G. 3 The rectangular pyramid has been sliced by a plane perpendicular to its base. What is the shape of
the cross section formed?
9. MCC7.G.4 A circular pool has a radius of 15 feet. The family that owns the pool wants to put up a circular fence
that is 9 feet away from the pool at all points. What is the circumference of the fence they will need?
10. MCC7.G.4 If a circle is cut from a piece of plywood that is 8 inches in length as shown, how much plywood will
be left over?
8 inches
11. MCC7.G.4 What is the relationship between the radius and diameter of a circle?
12. MCC7.G.4 The seventh grade class is building a spinning wheel game for the school carnival. The wheel is
circular and will be covered with carpet. If the circle is 12 feet in diameter, how much carpet would be enough
to cover the circle?
13. MCC7.G.6 A toy box is shaped like a cube. The sides of the box are 3 feet long. What is the volume of the toy
box?
Use the given diagram provided to answer questions 14 - 17.
14. MCC7.G.5 Which angle is an angle vertical to AEF?
15. MCC7.G.5 Which angle is an angle adjacent to GEC?
16. MCC7.G.5 If AED measures 64°, what equation can be used to find its supplement?
17. MCC7.G.5 If BEC = 3x° and BEA = 6x°, what is the value of x?
18. MCC7.G.5 Two angles are complementary. If one angle is 42, what equation could be used to find the
measure of the second angle?
19. MCC7.G.5 Two angles measure 67 and 113 degrees. Are the two angles complementary or supplementary?
20. MCC7.G.5 If two angles are supplementary, can both be obtuse? Explain
21. MCC7.G.5 Angles 1 and 2 are vertical angles. What MUST be true about the measures of angles 1 and 2?
22. MCC7.G.6 A rectangular table is 18 feet long and 20 feet wide. What is the area of the table?
23. MCC7.G.6 A window is shaped like the trapezoid shown below. What is the area of the window?
3ft
7 ft
24. MCC7.G.4 The diagram below shows a room in school building. The dimensions shown are given in feet. If
wall-to-wall tile will be installed so that the entire floor of the room is covered, how many square feet of tile will be
needed?
25. MCC7.G.6 Jerry is designing a storage chest shaped like a rectangular prism. The storage chest is 4 feet long, 2
feet wide, and 5 feet high. What is the surface area of the storage chest?
26. MCC7.G.6 How much cereal will the box below hold if it is filled completely?
5 in
5 in.
2 in.
4 in
27. MCC7.G.2 Can a triangle have more than one obtuse angle? Explain your reasoning.
28. MCC7.G.2 Draw an isosceles triangle with only one 70° angle. Is this the only possibility or can another triangle
be drawn that will meet these conditions? Why or why not?
29. MCC7.G.2 In the space below construct a triangle with side lengths of 5 cm, 6 cm, and 8 cm. Is this the only
possibility or can another triangle be drawn that will meet these conditions? Why or why not?
30. MCC7.G.4 Explain the relationship between the circumference and diameter of any given circle.