Free Printable Chapter 1 Review

Worksheets

Chapter 1 Review

Total questions: 39

Worksheet time: 2hrs 57mins

Name

Class

Date

Which is the notation for the diagram shown?

None of these

Which is the notation for the diagram shown?

None of these

Which is the notation for the diagram shown?

None of these

Which statement is FALSE about the diagram shown?

D, E and G are collinear.

D, F and G are coplanar.

A possible name of this plane is Plane DGE.

H is not on the same plane as points G and E.

Which of the following is NOT a correct way to name the line shown?

What does PQ mean?

The line passing through P and Q.

The segment with endpoints P and Q.

The distance between P and Q

None of these

What does this symbol (CONGRUENT) mean?
$\cong$

Same shape

Same size

Both

Neither

A line is named by...

Any 2 points on the line, or a lowercase script letter.

Any 3 points on the line.

Any 1 point on the line.

Any 3 points on the line, or a uppercase script letter.

A plane is named by...

Any 1 point on the plane.

Any 3 collinear points on the plane or a lowercase script letter.

Any 3 non-collinear points on the plane or an uppercase script letter.

All points on the plane that aren't part of a line.

10.

Which of the following is a correct name for the angle shown? Select all that apply.

$\angle MTR$

$\angle TRM$

$\angle T$

$\angle3$

11.

Vertical angles are always

acute

total 180 degrees

congruent (equal measures)

adjacent angles

12.

Supplementary angles always add up to

(a)

13.

Name the given figure with correct geometric notation.

Point A

Place A

Location A

14.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

15.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

(-4,8)

(18,22)

(3,1)

(-5,-7)

16.

Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)

(-5.5, -7.5)

(-1.5, -0.5)

(-3, -1)

(0.5, 1.5)

17.

Draw a conclusion using the Law of Syllogism or Detachment.

If we see John on Monday, then we can ask him over for lunch. We see John on Monday.

John may eat with us.

John saw us on Monday

No conclusion can be made since the hypothesis did not occur.

We asked John to have lunch with us.

18.

Draw a conclusion using the Law of Syllogism or Detachment.

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

If the sun is not shining, we will not go hiking.

If the sun is shining then we will go hiking.

No conclusion can be made.

If we go hiking, then it is a beautiful day.

19.

Draw a conclusion using the Law of Syllogism or Detachment.

If Jack goes to school, then it is Monday.

Jack doesn't go to school.

Jack skipped school.

It isn't Monday.

It's Saturday.

No conclusion

20.

Determine is the following is Law of Syllogism or Detachment. If it is neither, state no conclusion.

If it snows, then I will wear my snow boots.

If it snows, then I won’t go to school that day.

Conclusion: If I don’t go to school, then I will wear my snow boots.

Law of Detachment

Law of Syllogism

No conclusion

21.

Determine is the following is Law of Syllogism or Detachment. If it is neither, state no conclusion.

If you get a cold, then you eat chicken soup.

You ate chicken soup.

Conclusion: You must have a cold.

Law of Detachment

Law of Syllogism

Invalid

22.

If an angle is 40⁰, then it is acute.

∠A is 40⁰.

Using the Law of Detachment, what is the logical statement to conclude?

∠A is complementary to ∠B

∠A is acute.

∠A is obtuse.

∠A is 40⁰

23.

Draw a conclusion using the Law of Syllogism or Detachment.

If a whole number is even, then its square is divisible by 4.

The number I am thinking of is an even number.

Then it's not odd.

Then it's a whole number.

Then its square is divisible by 4

Then it's even.

24.

Draw a conclusion using the Law of Syllogism or Detachment.

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

If you return to the pool you will enjoy yourself.

If you enjoy yourself, then you went to the pool.

If you go to the pool, you will want to return.

No conclusion can be made.

25.

Draw a conclusion using the Law of Syllogism or Detachment.

If a figure is a rhombus, then the figure is a parallelogram.

If a figure is a parallelogram, then the figure is a quadrilateral.

If a figure is a rhombus, then the figure is a quadrilateral.

If a figure is a quadrilateral, then the figure is a rhombus.

Not possible

26.

The first step of an indirect proof is to ____?

write the given

assume the negation of the given

assume the negation of what you are trying to prove

contradict the given

27.

What assumption would you make to start the indirect proof of ∆ABC≅∆DEF?

∆ABC≠∆DEF

∆ABC≇∆DEF

<ABC≠<DEF

AB≅DE

28.

What assumption would you make to start the indirect proof of AB≅BC?

AB≠BC

BA≅CB

B is the midpoint of AC

B is the perpendicular bisector oa AC

29.

If ∠A ≅ ∠B, then we know m∠A = m∠B because...

Given

Definition of Congruent

Congruent means equal

Transitive Property

30.

1. Find X

31.

4. Find X

32.

Solve for x

33.

Solve for x

120

180

34.

Solve for x

140

35.

If RT=36, find the value of x.

36.

Solve

25°

125°

145°

45°

37.

\overrightarrow{US}

bisects

\angle BUL

m\angle BUS=2x+10

, and

m<SUL=3x-18

. Find

m<BUL

$28^o$

$52^o$

$128^o$

$132^o$

38.

Use the figure to write and solve an equation for x.

39.

B is the midpoint of AC. Find AB.

Reset

Chapter 1 Review

Total questions: 39

Worksheet time: 2hrs 57mins

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