Geometry Final
A square with a side length of 5 has one vertex at (2,0). Which of the following points cannot he a vertex of the square?
(0,7)
If OD has the equation (x-2)^2 + (y-1)^2 = 9, which point is the interior of OD?
(3, 3)
Write an equation for a circle with center at (5, -2) and a diameter of 8 centimeters.
(x - 5)^2 + (y + 2)^2 = 16
What is the perimeter of ABC
117
If m < A = 58°, find the value of y in the diagram
122
Use the diagram to find the value of z.
130
What is the circumference of a circle with a radius of 4.2 inches.
26.4 in.
In the diagram below, what is the measure of A to the nearest tenth of a degree?
33.7°
What is the sum of the exterior angles in a convex 11-sides polygon?
360°
What is the value of z in the figure shown?
4
The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2 : 7. What are the lengths of the sides?
4 and 14
Find the length of the apothem of a square if the area of the square is 64 square meters.
4 m
The volume of the rectangular prism shown below is 4. What is the value of x?
4/3
The base of an isosceles triangle is 21 centimeters long. The altitude to the base is 9 centimeters long. What is the approximate measure of a base angle of the triangle?
40.6°
The length of a diagonal of a square is 20 inches. What is it's perimeter?
40√2 in.
What is the value of x?
45
What is the radius of a sphere whose values is 330 cubic meters?
5.14 m
A polyhedron has 14 faces and 20 edges. How many vertices does it have?
8
A regular polygon has an interior angle with a measure of 135°. How many sides does the polygon have?
8
NPQR is a trapezoid and ST = 24. Find the value of X.
8
The dimensions of the right cube shown below is doubled. How many times larger is the volume of the new prism?
8
Use the diagram to find the value of x.
8
Which set of numbers can represent the side lengths of an obtuse triangle?
8, 14, 17
A regular hexagon has sides of length 8 cm. Another regular hexagon has sides of length 12 cm. Find the ratio of the area of the larger hexagon to the area of the smaller hexagon.
9 : 4
A 10-ft ladder leans against a wall so that the base of a ladder is 4 fr from the wall. How high up on the wall will the ladder reach (to the nearest foot)?
9 ft
What is the surface area of the right cone shown below?
about 152.9 ft.
What is the surface area of the right cylinder shown below?
about 226 ft.
The point P(-3, 7) is reflected in the line y = x. What are the coordinates of P'?
none of these
What special type of quadrilateral has the vertices F(-6, -2), G(1, -2), aH(-6, -5), and /(1, -5)
rectangle
What are the values of the variables in the quadrilateral MNOP?
x = 7, y = 26
Use the diagram to find the values of x and y
x=5√5, y=10√5
Column A Column B sin 45° sin 45°
The two quantities are equal.
What is the area of the shaded region in the diagram below?
about 10.27 cm
What is the length of AB ?
about 9.77 m
Use the diagram to find m ABC
180°
Find the area of a parallelogram with vertices A(-4, 2), B(1, 6), C(15, 6) and D(10,2)
56 square units
What is the area of a regular pentagon if it's apothem has a length of 4 feet and each side has a length of 5.8 feet?
58 ft
Find the area of a triangle with vertices A(0, 2), B(8, 2), and C(4, -3)
20
What is CE?
20
Use the diagram to find m DEF
220°
Let the numbers represent the lengths of the sides of a triangle. Which of the triangles is a right triangle?
27, 36, 45
Find the value of x.
28
Find the area of RSTU
315 in.
If 5+x/x = 15/6, then what is the value of x?
3 1/3
Use the diagram to find the value of x.
11
The distance between two cities on a map is 7 centimeters. The map ha a scale of 1 cm : 20 km. Find the actual distance between two cities.
140 KM
The surface area of a sphere with a radius of 3 meters is 36. π square meters. What would the surface area be after the radius is doubled?
144πm
The volume of a cube is 125 cubic inches. What is the surface area of the cube?
150 in.
DEFG is a trapezoid and HI= 15.5. Find the value of x.
16
Which of the following pairs of numbers has a geometric mean of 44?
16 and 121
What is the surface area of the right prison shown below?
160 in.
How many common tangents do the circles have?
1
Find the value of b in ABC. Round to the nearest tenth.
7.2
Use the diagram to find the value of x.
72
Use the figure to find the approximate perimeter of RSTU.
73.6 in
The triangles shown are similar. Which of the following is not a correct statement?
BC AC ______ = ________ YZ XY
Which of the figures shown is not a polyhedron?
III only
In quadrilateral, ABCD, AB|CD and A and B are supplementary. Which statements are true?
None of these.
Choose the statement that is true about a kite.
Only one pair of opposite angles are congruent.
if a/b = x/y, then which one of the following is not necessarily true?
a+x/b+y = a/b + x/y
