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Splash Screen. Five-Minute Check (over Chapter 2) NGSSS Then/Now New Vocabulary Key Concepts: Parallel and Skew Example 1: Real-World Example: Identify Parallel and Skew Relationships Key Concepts: Transversal Angle Pair Relationships Example 2: Classify Angle Pair Relationships

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Splash screen

Splash Screen


Lesson menu

Five-Minute Check (over Chapter 2)

NGSSS

Then/Now

New Vocabulary

Key Concepts: Parallel and Skew

Example 1: Real-World Example: Identify Parallel and Skew Relationships

Key Concepts: Transversal Angle Pair Relationships

Example 2: Classify Angle Pair Relationships

Example 3: Identify Transversals and Classify Angle Pairs

Lesson Menu


5 minute check 1

A

B

C

D

Make a conjecture about the next number in the sequence, 5, 20, 80, 320.

A.380

B.395

C.1280

D.1580

5-Minute Check 1


5 minute check 2

A

B

C

D

Write the contrapositive of this statement. If you live in Boston, then you live in Massachusetts.

A.If you do not live in Massachusetts, then you do not live in Boston.

B.If you live in Massachusetts, then you do not live in Boston.

C.If you do not live in Massachusetts, then you live in Boston.

D.You might live in Massachusetts or Boston.

5-Minute Check 2


5 minute check 3

A

B

Use the Law of Detachment or the Law of Syllogism to determine whether a valid conclusion can be reached from the following set of statements. If two angles form a linear pair and are congruent, they are both right angles. A and B are both right angles.

A.Yes, A and B are a linear pair.

B.no conclusion

5-Minute Check 3


5 minute check 4

A

B

C

D

Name the property that justifies the statement.If m1 + m2 = 75 and m2 = m3, then m1 + m3 = 75.

A.Substitution Property

B.Reflexive Property

C.Addition Property

D.Symmetric Property

5-Minute Check 4


5 minute check 5

A

B

C

D

Find m1 and m2 if m1 = 8x + 18 and m2 = 16x – 6 and m1 and m2 are supplementary.

A.m1 = 106, m2 = 74

B.m1 = 74, m2 = 106

C.m1 = 56, m2 = 124

D.m1 = 14, m2 = 166

5-Minute Check 5


5 minute check 6

A

B

C

D

The measures of two complementary angles are x + 54 and 2x. What is the measure of the smaller angle?

A.24

B.42

C.68

D.84

5-Minute Check 6


Ngsss

LA.1112.1.6.1The student will use new vocabulary that is introduced and taught directly.

MA.912.G.1.3Identify and use the relationships between special pairs of angles formed by parallel lines and transversals.

NGSSS


Then now

You used angle and line segment relationships to prove theorems. (Lesson 2–8)

  • Identify relationships between two lines or two planes.

  • Name angle pairs formed by parallel lines and transversals

Then/Now


Vocabulary

  • parallel lines

  • skew lines

  • parallel planes

  • transversal

  • interior angles

  • exterior angles

  • consecutive interior angles

  • alternate interior angles

  • alternate exterior angles

  • corresponding angles

Vocabulary


Concept

Concept


Example 1

A. Name all segments parallel to BC.

Answer:AD, EH, FG

Identify Parallel and Skew Relationships

Example 1


Example 11

B. Name a segment skew to EH.

Answer:AB, CD, BG, or CF

Identify Parallel and Skew Relationships

Example 1


Example 12

Identify Parallel and Skew Relationships

C. Name a plane parallel to plane ABG.

Answer: plane CDE

Example 1


Example 1a

A

B

C

D

A.Name a plane that is parallel to plane RST.

A.plane WTZ

B.plane SYZ

C.plane WXY

D.plane QRX

Example 1a


Example 1b

A

B

C

D

B.Name a segment that intersects YZ.

A.XY

B.WX

C.QW

D.RS

Example 1b


Example 1c

A

B

C

D

C.Name a segment that is parallel to RX.

A.ZW

B.TZ

C.QR

D.ST

Example 1c


Concept1

Concept


Example 2

Classify Angle Pair Relationships

A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: corresponding

Example 2


Example 21

Classify Angle Pair Relationships

B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: alternate exterior

Example 2


Example 22

Classify Angle Pair Relationships

C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: consecutive interior

Example 2


Example 23

Classify Angle Pair Relationships

D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

Answer: alternate interior

Example 2


Example 2a

A

B

C

D

A. Classify the relationship between 4 and 5.

A.alternate interior

B.alternate exterior

C.corresponding

D.consecutive interior

Example 2a


Example 2b

A

B

C

D

B. Classify the relationship between 7 and 9.

A.alternate interior

B.alternate exterior

C.corresponding

D.consecutive interior

Example 2b


Example 2c

A

B

C

D

C. Classify the relationship between 4 and 7.

A.alternate interior

B.alternate exterior

C.corresponding

D.consecutive interior

Example 2c


Example 2d

A

B

C

D

D. Classify the relationship between 2 and 11.

A.alternate interior

B.alternate exterior

C.corresponding

D.consecutive interior

Example 2d


Example 3

Identify Transversals and Classify Angle Pairs

A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 1 and 2. Then classify the relationship between the pair of angles.

Answer: The transversal connecting 1 and 2 is line v. These are corresponding angles.

Example 3


Example 31

Identify Transversals and Classify Angle Pairs

B. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 2 and 3. Then classify the relationship between the pair of angles.

Answer: The transversal connecting 2 and 3 is line v. These are alternate interior angles.

Example 3


Example 32

Identify Transversals and Classify Angle Pairs

C. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 4 and 5. Then classify the relationship between the pair of angles.

Answer: The transversal connecting 4 and 5 is line y. These are consecutive interior angles.

Example 3


Example 3a

A

B

C

D

A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.

A.lines c, f

B.lines c, d, e

C.lines c, d, f

D.lines c, d, e, f

Example 3a


Example 3b

A

B

C

D

B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal.

A.no lines

B.lines c, f

C.lines c, d, e, f

D.lines a, c, d, e, f

Example 3b


Example 3c

A

B

C

D

C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal.

A.no lines

B.lines a, b, d, e, f

C.lines a, d, f

D.lines a, b, e

Example 3c


End of the lesson

End of the Lesson


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