# Identify Parallel and Skew Relationships A Name all

• Slides: 37

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, CD, BG, or CF

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. plane SYZ C. plane WXY D. plane QRX

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. QR D. ST

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 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 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 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 C. corresponding D. consecutive interior

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. corresponding D. consecutive interior

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 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 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 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 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 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 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 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 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 22. A. 42 B. 84 C. 48 D. 138

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 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 = 125, find m 4. A. 25 B. 55 C. 70 D. 125

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 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 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 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 x – 3), and m 3 = 5 y + 14, find y. A. y = 14 B. y = 20 C. y = 16 D. y = 24