Exercise 2: Concepts

Given two points (say, M an N), how many different lines pass through two points?

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one

two

three

four

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Explanation

In general, two different points determine exactly one ________

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Missing

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Explanation

From the below figure, name \(\overrightarrow{NM}\) in another way

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\(\overrightarrow{NC}\)

\(\overrightarrow{MC}\)

\(\overrightarrow{CM}\)

\(\overrightarrow{CN}\)

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Explanation

From the below figure, do \(\overrightarrow{MN}\) and \(\overrightarrow{NM}\) name the same ray?

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Yes

No

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Explanation

Consider the acute angle shown below

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Name the ray representing the top side of the angle (1)
Name the ray representing the bottom side of the angle (2)
What point is the vertex of the angle? (3)
The angle can be named as ∠RST and ∠TSR, what are the two possible names
1. Name by a number (4)
2. Name by a letter (5)

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\(\overrightarrow{SR}\)

\(\overrightarrow{ST}\)

S

R

T

∠1

∠S

∠R

∠T

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Explanation

Match each angle with the given measures

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(1)
(2)
(3)
(4)

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80^o

160^o

45^o

20^o

190^o

100^o

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Explanation

Assign the correct type of angle to the below angles

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(1)
(2)
(3)
(4)
(5)
(6)

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obtuse angle

acute angle

straight angle

right angle

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Explanation

Fill in the blanks with the correct symbol

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If m(AB) (1) m(CD), then AB (2) CD
If ∠ABC (3) ∠DEF, then m(∠ABC) (4) m(∠DEF)

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=

≅

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Explanation

The vertical angle property; Vertical angles are

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Missing

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Explanation

Refer to the figure below. fill in the blanks

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∠XYZ and ∠VYW are (1) angles
∠XYZ and ∠ZYW are (2) angles
∠ZYW and ∠XYV are (3) angles

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Refer to the figure below and tell whether each statement is true

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(1) ∠AGF and ∠BGC are vertical angles
(2) ∠FGE and ∠BGA are adjacent angles
(3) m(∠AGB) = m(∠BGC)
(4) ∠AGC ≅ ∠DGF

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true

false

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Explanation

Refer to the figure below and tell whether each statement is true

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(1) ∠1 and ∠2 are congruent
(2) ∠FGB and ∠CGE are congruent
(3) ∠AGF and ∠FGE are congruent
(4) ∠CGD and ∠CGB are congruent
(5) ∠1 and ∠CGD are adjacent angles
(6) ∠FGA and ∠AGC are supplementary
(7) ∠AGB and ∠BGC are complementary
(8) ∠AGF and ∠2 are complementary

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true

false

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Given two points (say, M an N), how many different lines pass through two points?

Correct Answer

Explanation

In general, two different points determine exactly one ________

Correct Answer

Explanation

From the below figure, name \(\overrightarrow{NM}\) in another way

Correct Answer

Explanation

From the below figure, do \(\overrightarrow{MN}\) and \(\overrightarrow{NM}\) name the same ray?

Correct Answer

Explanation

Consider the acute angle shown below

Correct Answer

Explanation

Match each angle with the given measures

Correct Answer

Explanation

Assign the correct type of angle to the below angles

Correct Answer

Explanation

Fill in the blanks with the correct symbol

Correct Answer

Explanation

The vertical angle property; Vertical angles are

Correct Answer

Explanation

Refer to the figure below. fill in the blanks

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Explanation

Refer to the figure below and tell whether each statement is true

Correct Answer

Explanation

Refer to the figure below and tell whether each statement is true

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Explanation

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