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Geometry Tutor Diagnostic Exam - At-Home Tutoring Services®
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Geometry Tutor Diagnostic Exam
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1.
Given that sin Θ = 3/5, find the values of the other 5 trig functions.
cos Θ = 3/5 tan Θ = 3/4 csc Θ = 3/4 sec Θ = 4/3 cot Θ = 4/5
cos Θ = 5/4 tan Θ = 4/3 csc Θ = 3/5 sec Θ = 4/5 cot Θ = 3/4
cos Θ = 4/5 tan Θ = 3/4 csc Θ = 5/3 sec Θ = 5/4 cot Θ = 4/3
cos Θ = 2/5 tan Θ = 2/3 csc Θ = 2/5 sec Θ = 4/5 cot Θ = 3/4
2.
Give the term that matches the definition below:
Two or more points on the same line.
Coplanar
Concurrent
Convergent
Collinear
3.
Find the volume of a sphere if the radius is given as 3 cm.
36π cubic cm
54π cubic cm
24π cubic cm
72π cubic cm
4.
Write a Proof for the following:
5.
If the length of the minor arc AC in the diagram below is 98°, give the the measures of the central angle and
the inscribed angle shown.
Central angle: 49 degrees, Inscribed angle: 24.5 degrees
central angle: 98 degrees, Inscribed angle = 49 degrees
central angle: 196 degrees, Inscribed angle = 198 degrees
central angle: 98 degrees, Inscribed angle = 32 degrees
6.
Given that the circumference of a circle is 8π, find the radius.
radius = 4 units
radius = 8 units
radius = 8/πunits
radius = 2 units
7.
Given the figure below, answer the following question.
What angle(s) is/are congruent to ∠4? (Give all answers).
∠4 and ∠14
∠2 and ∠18
∠1 and ∠11
∠8 and ∠16
8.
Given the figure below, answer the following question.
Name all the points given that are not collinear with point B as shown
in this drawing
.
E
A, C, and D
D and E
A
9.
What is the term for an angle with a measure greater than 90° but less than 180°?
Right angle
Reflex angle
Acute angle
Obtuse angle
10.
Given the drawing below, answer the question.
Given that segment DC is 8 inches, find the lengths of
the other two sides of triangle BCD.
BD = 4 and BC =4√ 3
BD = 4 and BC =3√ 4
BD = 3 and BC =3√ 4
BD = 9 and BC = 3√8
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