Math: Two-Dimensional Geometry
A protective cover for a wireless tablet has a height of 8 inches and base of 7 inches. What is the area of the cover?
56
What is the measure of mc008-1.jpg?
56
Sarah only knows the diameter of a circle. What should she do to find the radius?
Divide the diameter by 2.
Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas's claim is true?
Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
If mc016-1.jpg is a right angle, which is the measure of mc016-2.jpg?
15
The diameter of a circle is 8 inches. What is the area?
16
Which set of three angles could represent the interior angles of a triangle?
19, 70, 91
Line l is a straight line. mr022-1.jpg Which statements are true about the angles in the figure? Check all that apply.
2, 4, 5
A square garden has a side length of 5 ft. What is the area of the garden?
25
Which set of three angles could represent the interior angles of a triangle?
26, 51, 103
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the trapezoid?
28
What is the area of the parallelogram?
300
A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for mc010-1.jpg and round to the nearest whole number.)
31
What is the measure of mc015-1.jpgJKL?
97
Which names accurately describe figure PQRS? Check all that apply.
Not 1, 2, 4, 5
Two lengths of a triangle are shown.
11
A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for mc015-1.jpg.
1,953.08 mm
What is the area of the parallelogram?
112
Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2 feet wide. What is the total area of the garden and path? (Use 3.14 for mc008-1.jpg and round to the nearest tenth.)
113.0
The measure of mc011-1.jpg is 150°. What is the value of mc011-2.jpg + mc011-3.jpg + mc011-4.jpg?
120
Jake plans on running four laps. How many meters will Jake run? Use 3.14 for mc018-2.jpg.
1207.6
The standard size of a rectangular placemat is 14 inches by 16 inches. How much fabric is needed to make 6 standard placemats?
1344
What is the value of y in the linear pair below?
135
Two angles in a triangle measure mc003-1.jpg and mc003-2.jpg. What is the measure of the third angle?
35
What is the area of a circle with a radius of 6 inches?
36
Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
4
Evan constructed this figure using triangles.
4
What is the measure of mc010-1.jpgy?
41
What is the area of the rectangle?
60
Which formula should be used to find the circumference of a circle?
A
Which polygon is a hexagon?
B
Which angle is complementary to mc006-1.jpgCOD?
BOC
What is the area of a circle with a radius of 1 foot?
C
Which describes the relationship between mc014-1.jpg and mc014-2.jpg?
mc014-8.jpg and mc014-9.jpg are adjacent angles.
The triangles below will be used to construct a polygon.
rectanagle
Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the area of Kylie's circle than the area of Paige's circle? Use 3.14 for mc022-1.jpg and round to the nearest whole number.
22
Which statements are true about the circle shown below? 31.4
3, 4
What is the minimum number of triangles needed to construct a hexagon?
4
What is the circumference of the circle? Use 3.14 for mc009-1.jpg.
40.192 cm
What is the sum of the measures of the interior angles of this polygon?
540
Two angles in a triangle measure mc004-1.jpg and mc004-2.jpg. What is the measure of the third angle?
59
What is the measure of mc013-1.jpgRMN?
63
The circle has a diameter of 16 inches. What is the area of the circle?
64
What is the area of the triangle?
742.5
Jasmine plans on running three laps. How many yards will Jasmine run? Use 3.14 for mc019-2.jpg.
745.5
In isosceles triangle ABC below, what is the value of x? 76
76
The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for mc004-1.jpg and round to the nearest tenth.)
78.5
What is the measure of mc001-1.jpgSRT?
79
What is the area of the triangle?
8.64
What is the measure of mc001-1.jpg?
80
Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram.
9.42x3
What is the measure of mc012-1.jpg?
90
What is the sum of the measures of the interior angles of this heptagon?
900
What is the value of x in triangle PQR below?
94
Pascal wants to find the sum of the measures of the interior angles of a polygon that has n sides. How could he do this?
Multiply a80 by (n-2)
Morgan has completed the mathematical statements shown below. Which statements are true regarding these formulas? Check all that apply.
NOT 1, 3, 5
Claire thinks that if she draws a parallelogram with 2 congruent sides, it must be a rhombus. Jacob thinks that she would need to draw a parallelogram with at least 3 congruent sides before she could be sure it was a rhombus. Who is correct, if anyone, and why?
NOT A
Line x and line z are straight lines. mc018-1.jpg Which pair of angles are vertical?
NOT A
Two triangles were required to construct the figure below.
NOT A, B
Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza's claim is correct?
NOT B
Sides KM and FH in the triangles below will be placed together to form a quadrilateral.
NOT B
A target has a bull's-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring?
NOT C
Caroline drew two triangles and used them to construct a rhombus with two acute angles and two obtuse angles. Which could be one of the triangles she used?
NOT C
What is the height of the shape formed by the sectors shown below?
NOT C
What is the measure of mc021-1.jpgMRN?
NOT C
A circle has a circumference of mc017-1.jpg cm. Which statement about the circumference and area is true?
NOT D
Elspeth knows that mc020-1.jpg. What would she need to do to find the circumference?
NOT D
Which statement is true about mc003-1.jpgBPD?
NOT D
Which statements are true about the circle shown below?
NTO 1, 2, 5
Nico and Karina wrote these statements in their math journals. Nico's Statement Karina's Statement A 4-sided polygon with at least one pair of parallel sides must be a parallelogram. A 4-sided polygon with at least one pair of parallel sides must be a trapezoid. Which describes the accuracy of their statements and why?
Neither is correct because a 4-sided polygon with at least one pair of parallel sides could be either a parallelogram or a trapezoid.
Which statement is true about the circumference of a circle?
The circumference is found by multiplying mc005-2.jpg by the diameter.
A circle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?
The numerical values of the circumference and area are equal.
Cecile drew a 4-sided figure. It had 2 sides that were 3.4 centimeters long and 2 sides that were 3.3 centimeters long. It had at least 3 right angles. Which best describes the figure she drew?
rectangle that is not a square
Compare the given dimensions of four triangles. Which triangle is possible to construct?
side lengths of 5 ft, 12 ft, and 13 ft
Which dimensions can create more than one triangle?
three angles measuring mc016-1.jpg, mc016-2.jpg, and mc016-3.jpg
Which dimensions cannot create a triangle?
three sides measuring 4 ft, 8 ft, and 14 ft
Which dimensions can create only one unique triangle?
three sides measuring 5 in., 12 in., and 14 in.
Which name accurately describes the figure shown below?
trapezoid
The circumference of a circle is mc007-1.jpg inches. What is the length of the radius of this circle?
14
Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Check all that apply.
2, 3
A circular swimming pool has a radius of 28 ft. There is a path all around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path.
201