Identify Parallel and Skew Relationships A Name all

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Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Answer: AD,

Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Answer: AD, EH, FG

Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: AB,

Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: AB, CD, BG, or CF

Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Answer:

Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Answer: plane CDE

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

A. Name a plane that is parallel to plane RST. A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX

B. Name a segment that intersects YZ. A. XY B. WX C. QW D.

B. Name a segment that intersects YZ. A. XY B. WX C. QW D. RS

C. Name a segment that is parallel to RX. A. ZW B. TZ C.

C. Name a segment that is parallel to RX. A. ZW B. TZ C. QR D. ST

Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate

Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: corresponding

Classify Angle Pair Relationships B. Classify the relationship between 1 and 7 as alternate

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

Classify Angle Pair Relationships C. Classify the relationship between 3 and 8 as alternate

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

Classify Angle Pair Relationships D. Classify the relationship between 3 and 5 as alternate

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

A. Classify the relationship between 4 and 5. A. alternate interior B. alternate exterior

A. Classify the relationship between 4 and 5. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior

B. Classify the relationship between 7 and 9. A. alternate interior B. alternate exterior

B. Classify the relationship between 7 and 9. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior

C. Classify the relationship between 4 and 7. A. alternate interior B. alternate exterior

C. Classify the relationship between 4 and 7. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior

D. Classify the relationship between 2 and 11. A. alternate interior B. alternate exterior

D. Classify the relationship between 2 and 11. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior

Identify Transversals and Classify Angle Pairs A. BUS STATION The driveways at a bus

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.

Identify Transversals and Classify Angle Pairs B. BUS STATION The driveways at a bus

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.

Identify Transversals and Classify Angle Pairs C. BUS STATION The driveways at a bus

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.

A. HIKING A group of nature trails is shown. Identify the sets of lines

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

B. HIKING A group of nature trails is shown. Identify the sets of lines

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

C. HIKING A group of nature trails is shown. Identify the sets of lines

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

Use Corresponding Angles Postulate A. In the figure, m 11 = 51. Find m

Use Corresponding Angles Postulate A. In the figure, m 11 = 51. Find m 15. Tell which postulates (or theorems) you used. angles 15 11 Corresponding Angles Postulate m 15 = m 11 Definition of congruent m 15 = 51 Answer: m 15 = 51 Substitution

Use Corresponding Angles Postulate B. In the figure, m 11 = 51. Find m

Use Corresponding Angles Postulate B. In the figure, m 11 = 51. Find m 16. Tell which postulates (or theorems) you used. 16 15 Vertical Angles Theorem 15 11 Corresponding Angles Postulate 16 11 Transitive Property ( ) m 16 = m 11 Definition of congruent angles m 16 = 51 Answer: m 16 = 51 Substitution

A. In the figure, a || b and m 18 = 42. Find m

A. In the figure, a || b and m 18 = 42. Find m 22. A. 42 B. 84 C. 48 D. 138

B. In the figure, a || b and m 18 = 42. Find m

B. In the figure, a || b and m 18 = 42. Find m 25. A. 42 B. 84 C. 48 D. 138

Use Theorems about Parallel Lines FLOOR TILES The diagram represents the floor tiles in

Use Theorems about Parallel Lines FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m 2 = 125, find m 3. angles 2 3 Alternate Interior Angles Theorem m 2 = m 3 Definition of congruent 125 = m 3 Substitution Answer: m 3 = 125

FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m 2

FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m 2 = 125, find m 4. A. 25 B. 55 C. 70 D. 125

Find Values of Variables A. ALGEBRA If m 5 = 2 x – 10,

Find Values of Variables A. ALGEBRA If m 5 = 2 x – 10, and m 7 = x + 15, find x. Explain your reasoning angles 5 7 Corresponding Angles Postulate m 5 = m 7 Definition of congruent 2 x – 10 = x + 15 x – 10 = 15 x= Add 10 to each side. 25 Answer: x = 25 Substitution Subtract x from each side.

Find Values of Variables B. ALGEBRA If m 4 = 4(y – 25), and

Find Values of Variables B. ALGEBRA If m 4 = 4(y – 25), and m 8 = 4 y, find y. 8 6 Corresponding Angles Postulate m 8 = m 6 Definition of congruent angles 4 y m 6 Substitution =

Find Values of Variables m 6 + m 4 = Theorem 180 Supplement 4

Find Values of Variables m 6 + m 4 = Theorem 180 Supplement 4 y + 4(y – 25) 180 Substitution = 180 = 4 y + 4 y – 100 Property Distributive 8 y = 280 Add 100 to each side. y = 35 Divide each side by 8. Answer: y = 35

A. ALGEBRA If m 1 = 9 x + 6, m 2 = 2(5

A. ALGEBRA If m 1 = 9 x + 6, m 2 = 2(5 x – 3), and m 3 = 5 y + 14, find x. A. x = 9 B. x = 12 C. x = 10 D. x = 14

B. ALGEBRA If m 1 = 9 x + 6, m 2 = 2(5

B. ALGEBRA If m 1 = 9 x + 6, m 2 = 2(5 x – 3), and m 3 = 5 y + 14, find y. A. y = 14 B. y = 20 C. y = 16 D. y = 24

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