Presentation on theme: "3-1 Parallel Lines and Transversals"— Presentation transcript: 1 3-1 Parallel Lines and Transversals 2
CCSS Content Standards
3 Then/Now You used angle and line segment relationships to prove theorems. Identify relationships
between two lines or two planes. Name angle pairs formed by parallel lines and transversals. 4 Vocabulary parallel lines skew lines parallel planes transversal 5 Concept 6
Vocabulary transversal: 7 Example 1 A. Name all segments parallel to BC. Answer: AD, EH, FG
8 Example 1 B. Name a segment skew to EH. Answer: AB, CD, BG, or CF
9 Example 1 C. Name a plane parallel to plane ABG. Answer: plane CDE 10 Example 1a A. Name a plane that is parallel to plane RST. A. plane WTZ 11 Example 1b B. Name a segment that intersects YZ. A. XY B. WX C. QW 12 Example 1c C. Name a segment that is parallel to RX. A. ZW B. TZ C.
QR 13 Concept 14 Vocabulary Interior angles Example:
15 Vocabulary Exterior angles Example: 16 Vocabulary
Consecutive interior angles Example: 17 Vocabulary Alternate interior angles Example:
18 Vocabulary Alternate exterior angles Example: 19
Vocabulary Corresponding angles Example:
20 Example 2 A. Classify the relationship between 2 and 6 as
alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: corresponding
21 Example 2 B. Classify the relationship between 1 and 7 as
alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate exterior 22 Example 2 C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: consecutive interior
23 Example 2 D. Classify the relationship between 3 and 5 as
alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate interior 24 Example 2a A. Classify the relationship between 4 and 5. 25 Example 2b B. Classify the relationship between 7 and 9. 26 Example 2c C. Classify the relationship between 4 and 7. 27 Example 2d D. Classify the relationship between 2 and 11. 28 Example 3 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. 29 Example 3 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.
30 Example 3 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. |