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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

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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

Example 3: Identify Transversals and Classify Angle Pairs

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

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

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

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

D.Symmetric Property

### 5-Minute Check 4

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

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

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

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

• parallel lines

• skew lines

• parallel planes

• transversal

• interior angles

• exterior angles

• consecutive interior angles

• alternate interior angles

• alternate exterior angles

• corresponding angles

### Concept

A. Name all segments parallel to BC.

Identify Parallel and Skew Relationships

### Example 1

B. Name a segment skew to EH.

Identify Parallel and Skew Relationships

### Example 1

Identify Parallel and Skew Relationships

C. Name a plane parallel to plane ABG.

### Example 1

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

A

B

C

D

B.Name a segment that intersects YZ.

A.XY

B.WX

C.QW

D.RS

### Example 1b

A

B

C

D

C.Name a segment that is parallel to RX.

A.ZW

B.TZ

C.QR

D.ST

### Concept

Classify Angle Pair Relationships

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

### Example 2

Classify Angle Pair Relationships

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

### Example 2

Classify Angle Pair Relationships

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

### Example 2

Classify Angle Pair Relationships

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

### Example 2

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

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

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

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

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

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

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

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

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

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