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NM Standards: GT-A-7. Parallel Lines Coplanar lines that do not intersect. The symbol || means is parallel to The red arrows also mean is parallel to.

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Presentation on theme: "NM Standards: GT-A-7. Parallel Lines Coplanar lines that do not intersect. The symbol || means is parallel to The red arrows also mean is parallel to."— Presentation transcript:

1 NM Standards: GT-A-7

2 Parallel Lines Coplanar lines that do not intersect. The symbol || means is parallel to The red arrows also mean is parallel to

3 Parallel Planes Two or more planes that do not intersect. Q R

4 Skew Lines Two or more lines that do not intersect but are not parallel. Skew lines are always on different planes. m n Lines m & n are skew lines

5 Example 1-1a Name all planes that are parallel to plane AEF. Answer: plane BHG

6 Example 1-1b Name all segments that intersect Answer:

7 Example 1-1c Name all segments that are parallel to Answer:

8 Example 1-1d Name all segments that are skew to Answer:

9 Example 1-1e

10

11 Transversal A line that intersects two or more other lines in a plane at different points The two or more lines do NOT have to be parallel.

12 Example 1-2a BUS STATION Some of a bus stations driveways are shown. Identify the sets of lines to which line v is a transversal. Answer: If the lines are extended, line v intersects lines u, w, x, and z.

13 Example 1-2b BUS STATION Some of a bus stations driveways are shown. Identify the sets of lines to which line y is a transversal. Answer: lines u, w, x, z

14 Example 1-2c BUS STATION Some of a bus stations driveways are shown. Identify the sets of lines to which line u is a transversal. Answer: lines v, x, y, z

15 Example 1-2d BUS STATION Some of a bus stations driveways are shown. Identify the sets of lines to which line w is a transversal. Answer: lines v, x, y, z

16 Example 1-2e HIKING A group of nature trails is shown. Identify the sets of lines to which each given line is a transversal. Answer: lines c, d, e, f Answer: lines a, b, d, e, f a. line a b. line b c. line c d. line d Answer: lines a, b, c, e, f

17 Types of Angles Exterior Angles: Angles that lie outside the lines cut by a transversal Interior Angles: Angles that lie between the lines cut by a transversal Consecutive Interior Angles: Pairs of interior angles formed by a transversal that lie on the same side of the transversal and share a side. Alternate Exterior Angles: Pairs of exterior angles formed by a transversal that lie on opposite sides of the transversal. Alternate Interior Angles: Pairs of interior angles formed by a transversal that lie on opposite sides of the transversal. Corresponding Angles: Pairs of angles formed by a transversal that lie on the same side of the transversal, but one is interior and one is exterior.

18 Key Concepts

19 Example 1-3a Answer: corresponding Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

20 Example 1-3b Answer: alternate exterior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

21 Example 1-3c Answer: corresponding Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

22 Example 1-3d Answer: alternate exterior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

23 Example 1-3e Answer: alternate interior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

24 Example 1-3f Answer: consecutive interior Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

25 Example 1-3g


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