Line: A long thin mark that continues forever in both directions. Lines are named by their end points with a line with arrows over the letters.

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2 Name Points,, Lines,, Line Segments, and Rays Point: An exact location in space. Points on a line are given letter names. Name all the points on this line. Line: A long thin mark that continues forever in both directions. Lines are named by their end points with a line with arrows over the letters. What is the name of this line? Line Segment: A section of a line between end points. Line segments are named by their end points, and a line with two points over the letters. Name two line segment on the line above. Ray: A section of a line with an end point on one end, and which continues forever in the other direction. Which of these is a ray? Circle it by Cathy McGaffin

3 Name Points,, Lines,, Line Segments, and Rays Tell whether each figure is a point, line, line segment, or a ray. Draw and label each of the following lines in the space below: vertical line, horizontal line, and diagonal line by Cathy McGaffin

4 Name Points,, Lines,, Line Segments, and Rays 1. How many points are visible on these lines? 2. Which point is on more than one line? 3. How many lines are there in all? 4. What are the names of the lines? 5. Name at least 3 line segments found on these lines. 6. Name at least 3 rays found on these lines by Cathy McGaffin

5 Name Types of Lines Intersecting Lines are two or more lines that over each other. They meet at a. That point would be on. Circle the intersecting lines. We would say that intersects at point. Wherever two lines intersect, they form. Angles are named by their points, with the being in the middle. One angle on these intersecting lines is Name the other angles. Draw a set intersecting lines. Draw a set of lines that do not intersect by Cathy McGaffin

6 Name Types of Lines Parallel Lines are two lines which always stay the apart. They do not get together or apart. If a polygon has parallel lines, they will always be on sides. Draw a set of parallel lines. Draw a set of lines that are NOT parallel, but do not intersect. Circle the sets of parallel lines. Put an X on the lines that are not parallel by Cathy McGaffin

7 Name Types of Lines Perpendicular Lines are two lines that or will at. They form corners. For every angle a polygon has, it will have set of lines. Draw 3 sets of perpendicular lines in this box. Circle the perpendicular lines. Put an X on the lines that are not perpendicular by Cathy McGaffin

8 Name Angles Angles are geometric figures that are formed by two that share a common. Angles are measured in. If you went all the way around the circle, it would be. Since 90 x 4 =, it makes sense that it would take 90 angles to go completely around the circle. 90º Circle all of the angles by Cathy McGaffin

9 Name Types of Angles Acute Angle measures Example: Right Angle measures Example: Obtuse Angle measures Example: Label each angle with either: A for Acute R for Right O for Obtuse Circle the straight angle by Cathy McGaffin

10 Name Angle Degrees Sometimes we can figure out the size of an angle by comparing it to a right angle, which is easy to recognize. What is the measure of < ABD? < ABC? < CBD? What is the measure of < EFI? < EFG? <GFH? < HFI? What is the measure of < JKL? < LKM? < JKM? by Cathy McGaffin

11 Name Using a Protractor To truly measure an angle accurately, we use a protractor. Put the right angle at the base of your protractor on the vertex of the angle you are measuring. Make sure the ray at the bottom of your angle is lined up with the base of the protractor. Read the number that the second ray passes through. This is the angle measure. This angle is Measure each angle and write the measurement in degrees. Tell if the angle is acute, right, or obtuse by Cathy McGaffin

12 Name Using a Protractor Measure each angle using a protractor. Tell if the angle is acute, right, or obtuse by Cathy McGaffin

13 Name Angle Degrees by Cathy McGaffin

14 Follow along and sketch an angle that measures 60. What kind of angle is it? 13.

15 Sketch an angle that measures 40. What kind of angle is it? Sketch an angle that measures 110. What kind of angle is it? 14.

16 Sketch an angle that measures 90. What kind of angle is it? Sketch an angle that measures 125. What kind of angle is it? 15.

17 Sketch an angle that measures 130. What kind of angle is it? Sketch an angle that measures 45. What kind of angle is it? 16.

18 Sketch an angle that measures 35. What kind of angle is it? Sketch an angle that measures 180. What kind of angle is it? 17.

19 Name Missing Angle Measures You can find a missing angle measure without using a protractor. If the angle below has a total measure of 80, what is the measure of angle A? To solve, you need to figure out what goes with 30 to make 80. You can think of this in 2 different ways. Either 30 + A = 80 Or, = A Either way, A = by Cathy McGaffin

20 Name Missing Angle Measures Find the missing angle measures. Show your thinking. If the following angle has a measure of 150, what is the measure of angle B? Number Sentence: B = If the following angle has a measure of 95, what is the measure of angle C? Number Sentence: C = by Cathy McGaffin

21 Name Missing Angle Measures Find the missing angle measures. Show your thinking. If the following angle has a measure of 140, what is the measure of angle D? Number Sentence: D = If the following angle has a measure of 135, what is the measure of angle E? Number Sentence: E = by Cathy McGaffin

22 Name Missing Angle Measures Find the missing angle measures. Show your thinking. What is the measure of angle F? Number Sentence: F = What is the measure of angle G? Number Sentence: G = by Cathy McGaffin

23 Name Line Vocabulary Quiz Draw each of the following: Parallel lines A vertical line a point labeled M A ray Perpendicular lines a line that includes 2 points labeled D and E A horizontal line Intersecting lines A diagonal line A line segment with points B and C Parallel vertical lines Parallel Horizontal Lines

24 Name Sketch each of the following: Angle Quiz A right angle An obtuse angle A straight angle An acute angle 1

25 Name Angle Quiz Measure each angle with a protractor. Tell what kind of angle it is. Measure: Type of Angle: Measure: Type of Angle: Measure: Type of Angle: Measure: Type of Angle: 2

26 Name Sketch each of the following: Angle Quiz An angle that measures 150 An angle that measures 75 3

27 Name Angle Quiz Give the missing angle measure. Total Measure of 100 Total Measure of 140?? Missing Measure: Missing Measure: Total Measure of 65 Total Measure of 115?? Missing Measure: Missing Measure: 4

28 Answer Key: Page 1: Points: B D Line: SU Line Segments: (any two) Ray: Page 2: Line point ray Line Line segment ray Line segment ray point Line Page 3: 1. 7 points 2. T 3. 2 lines (any 3) 6. (any 3)

29 Name Types of Lines cross each other. They meet at a. point That point would be on both. lines Intersecting Lines are two or more lines that over Circle the intersecting lines. < EFI or IFE, < IFG or GFI, < HFG or GFH Draw a set intersecting lines. Possible Answer Draw a set of lines that do not intersect. Possible Answer by Cathy McGaffin

30 Name Parallel Lines are two lines which always stay the same distance apart. They do not get closer together or apart. farther If a polygon has parallel lines, they will always be on opposite sides. Draw a set of parallel lines. Types of Lines Possible Answers Draw a set of lines that are NOT parallel, but do not intersect. Circle the sets of parallel lines. Put an X on the lines that are not parallel by Cathy McGaffin

31 Name Types of Lines intersect at intersect right. angles They form square corners. For every right angle a polygon has, it will have 1 set of perpendicular lines. Perpendicular Lines are two lines that or will Draw 3 sets of perpendicular lines in this box. Some Possible Answers Circle the perpendicular lines. Put an X on the lines that are not perpendicular by Cathy McGaffin

32 Page 7: 4 Page 8: Acute Angle measures Example: Right Angle measures Example: Obtuse Angle measures Less than 90 Exactly 90 more than 90 Example: Any angle that is less than 90 Any angle that is more than 90 A R O A R A

33 Page 9: What is the measure of < ABD? 90 < ABC? < CBD? What is the measure of < EFI? 90 < EFG? 30 <GFH? 30 < HFI? 30 What is the measure of < JKL? 90 < LKM? 90 < JKM? 180 Pages 10-12: acute obtuse obtuse acute acute right acute obtuse obtuse acute Pages 13-17: You will need to measure with a protractor to check accuracy. I like to have students swap papers and check each others angles. Pages 18-21: A = 50 B: # Sent: Either = B or 45 + B = 150 B = 105 C: # Sent: Either = C or 40 + C = 95 C = 55 D: # Sent: Either = D or 63 + D = 140 D = 77 E: # Sent: Either = E or 82 + E = 135 E = 53 F : # Sent: Either = F or 68 + F = 90 F = 22 G : # Sent: Either = G or 125+G =180 G = 45

34 Pages 13-17: You will need to measure with a protractor to check accuracy. I like to have students swap papers and check each others angles. Pages 13-16: A = 50 B: # Sent: Either = B or 45 + B = 150 B = 105 C: # Sent: Either = C or 40 + C = 95 C = 55 D: # Sent: Either = D or 63 + D = 140 D = 77 E: # Sent: Either = E or 82 + E = 135 E = 53 F : # Sent: Either = F or 68 + F = 90 F = 22 G : # Sent: Either = G or 125+G =180 G = 45

35 Name Line Vocabulary Quiz Draw each of the following: Answers may vary: Possibilities are shown below. Parallel lines A vertical line a point labeled M. or M or A ray Perpendicular lines a line that includes 2 points labeled D and E A horizontal line Intersecting lines A diagonal line or or A line segment with points B and C Parallel vertical lines or Parallel Horizontal Lines or

36 Name Sketch each of the following: Angle Quiz A right angle An obtuse angle Any angle larger than 90 A straight angle An acute angle Any angle smaller than 90 Sketch an angle that measures about 45 How do you know it s about 45? Students may draw a 90 angle and divide it in half, since 45 is half of 90. Sketch an angle that measures about 30 How do you know it s about 30? Students may draw a 90 angle and divide it into three equal angles, since 30 x 3 is

37 Name Angle Quiz Measure each angle with a protractor. Tell what kind of angle it is. Measure: 50 Type of Angle: acute Measure: 125 Type of Angle: obtuse obtuse Measure: 170 Type of Angle: 15 acute Measure: Type of Angle:

38 Name Angle Quiz Give the missing angle measure. Total Measure of 100 Total Measure of 140?? 70 Missing Measure: 93 Missing Measure: Total Measure of 65 Total Measure of 115?? 25 Missing Measure: 62 Missing Measure: