Your test is tomorrow! Work through the problems below to prepare. There are hints for each problem in case you get stuck. Happy studying!
Question 1
1.
Question 2
2.
Question 3
3.
Question 4
4.
Solve for x.
(Click HERE if you need a hint!)
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Are the triangles are congruent? If so, state how you know. If not, explain why.
(Click HERE if you need a hint!)
Question 14
14.
Are the triangles are congruent? If so, state how you know. If not, explain why.
(Click HERE if you need a hint!)
Question 15
15.
Question 16
16.
Question 17
17.
Find m∠B.
(Click HERE if you need a hint!)
Question 18
18.
Solve for x.
(Click HERE if you need a hint!)
Question 19
19.
Question 20
20.
Question 21
21.
Find the value of the missing length.
(Click HERE if you need a hint!)
Question 22
22.
Question 23
23.
Question 24
24.
A lampost is 6 feet high and casts an 8 foot shadow. At the same time of day, a flagpole near the lampost casts a 20 foot shadow. Using the properties of similar figures, find the height, H, of the flagpole.
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Question 25
25.
Question 26
26.
Solve for x.
(Click HERE if you need a hint!)
If you want even more practice, check out the spreadsheet with IXL Topics below:
Which can be used to prove the triangles are congruent? (Click HERE if you need a hint!)
SSS
ASA
SAS
AAS
In the triangles shown, △ABC is dilated by a factor of 2/3 to form △XYZ.
Given that m∠A = 50° and m∠B = 100°, what is m∠Z? (Click HERE if you need a hint!)
15°
25°
30°
50°
Select all possible congruence shortcuts that will prove that △DGF ≅ △DEF. (Click HERE if you need a hint!)
AAA
ASA
SAS
AAS
HL
SSS
Which transformation does NOT produce congruent figures? (Click HERE if you need a hint!)
Reflection over the x-axis
Translation right 3 units
Dilation by a scale factor of 0.4
Counterclockwise rotation 270° about the origin
Which of the following cannot be used to prove triangles congruent? (Click HERE if you need a hint!)
HL
SSS
SAS
AA
Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
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A
B
C
D
What geometric construction is shown in the diagram below?
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an angle bisector
a line parallel to a given line
an angle congruent to a given angle
a perpendicular bisector of a segment
What is the justification (reason)?
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reflexive property
definition of segment bisector
definition of a midpoint
substitution property
What does CPCTC stand for? (Click HERE if you need a hint!)
Congruent Pieces of Congruent Triangles are Congruent
Congruent Parts of Congruent Triangles are Corresponding
Colorful Pieces of Corresponding Triangles are Congruent
Corresponding Parts of Congruent Triangles are Congruent
Which triangle congruence theorem can be used to prove the triangles are congruent?
(Click HERE if you need a hint!)
ASA
SSS
SAS
HL
In ∆PRQ and ∆XYZ you are given that ∠R ≅ ∠Y and PR ≅ XY, what additional information would be sufficient to prove the two triangles are congruent by AAS?
(Click HERE if you need a hint!)
PQ ≅ XZ
∠Q ≅ ∠Z
∠P ≅ ∠X
RQ ≅ YZ
Select ALL of the statements that are true about parallelograms. (Click HERE if you need a hint!)
Opposite sides are congruent.
Same-side angles are supplementary.
Opposite sides are parallel.
Same-side angles are congruent.
Diagonals bisect each other.
Diagonals are congruent to one another.
Opposite angles are congruent.
What type of angle pair is shown?
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Alternate Interior Angles
Alternate Exterior Angles
Vertical Angles
Corresponding Angles
Determine if the figures are similar.
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Similar
Not Similar
Use a ruler to find the center of dilation.
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(-1, 3)
(7, -3)
(0, 0)
(6, -2)
Determine if the triangles are similar. If so, state how.
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Similar by SSS
Similar by SAS
Similar by AA
Not Similar
Determine if the triangles are similar. If so, state how.
(Click HERE if you need a hint!)
Similar by SSS
Similar by SAS
Similar by AA
Not Similar
Select the correct reasons for statements 3 and 4 that would complete the proof.