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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. 1. ©2013 by Cathy McGaffin 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. 2. ©2013 by Cathy McGaffin 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. ___________________________________________________ 3. ©2013 by Cathy McGaffin 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 of lines that do not intersect. Draw a set intersecting lines. 4. ©2013 by Cathy McGaffin 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. 5. ©2013 by Cathy McGaffin 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. 6. ©2013 by Cathy McGaffin 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. 7. ©2013 by Cathy McGaffin Name _______________________ Types of Angles Acute Angle Right Angle Obtuse Angle measures measures measures ___________________ ___________________ ____________________ ___________________ Example: ___________________ Example: ____________________ Example: Label each angle with either: A for Acute R for Right O for Obtuse Circle the straight angle. 8. ©2013 by Cathy McGaffin 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? _______ 9. ©2013 by Cathy McGaffin 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. 1. 2. 10. ©2013 by Cathy McGaffin Name _______________________ Using a Protractor Measure each angle using a protractor. Tell if the angle is acute, right, or obtuse. 3. 4. 5. 6. 11. ©2013 by Cathy McGaffin Name _______________________ Angle Degrees 8. 7. 9. 10. 12. ©2013 by Cathy McGaffin ° Follow along and sketch an angle that measures 60°. What kind of angle is it? ___________________ 13. 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. 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. 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. 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. 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, 80 – 30 = A Either way, A = __________ 18. ©2013 by Cathy McGaffin 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 = __________ 19. ©2013 by Cathy McGaffin 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 = __________ 20. ©2013 by Cathy McGaffin 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 = __________ 21. ©2013 by Cathy McGaffin 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 Name _________________________ Angle Quiz Sketch each of the following: A right angle An obtuse angle A straight angle An acute angle 1 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 Name _________________________ Angle Quiz Sketch each of the following: An angle that measures 150° An angle that measures 75° 3 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 Answer Key: Page 1: Points: B D Line: SU Line Segments: (any two) Ray: Page 2: point Line ray Line _________ ________ _________ ___________ ray Line segment ray point _________ __________ _________ ___________ Page 3: 1. 7 points 5. (any 3) 6. (any 3) 2. T 3. 2 lines 4. Line segment _________ Line _________ Name _____________________ Types of Lines cross Intersecting Lines are two or more lines that ____________ over point each other. They meet at a ______________. That point would be both lines on __________ ____________. Circle the intersecting lines. < EFI or IFE, < IFG or GFI, < HFG or GFH Draw a set of lines that do not intersect. Draw a set intersecting lines. Possible Answer Possible Answer 4. ©2013 by Cathy McGaffin Name ______________________ Types of Lines same Parallel Lines are two lines which always stay the __________ closer ____________ apart. They do not get __________ together or distance __________apart. If a polygon has parallel lines, they will always farther be on ______________________ sides. opposite Possible Answers Draw a set of lines that are NOT Draw a set of parallel lines. parallel, but do not intersect. Circle the sets of parallel lines. Put an X on the lines that are not parallel. 5. ©2013 by Cathy McGaffin Name _______________________ Types of Lines intersect Perpendicular Lines are two lines that ____________ or will right angles intersect ________________at __________ ___________. They form square corners.” For every ___________ right “_________ angle a polygon 1 set of ________________ perpendicular lines. has, it will have _____ 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. 6. ©2013 by Cathy McGaffin Page 7: 4 Page 8: Acute Angle Right Angle Obtuse Angle measures measures measures Less than 90° ______________ Exactly 90° ______________ Example: more than 90° ______________ Example: Example: Any angle that is more than 90° Any angle that is less than 90° R R A A O A Page 9: What is the measure of 90° < ABD? _______ 45° < ABC? _______ 45° < CBD? _______ What is the measure of 90° < EFI? _______ 30° < EFG? ______ 30° <GFH? ______ What is the measure of 90° < JKL? _______ 90° < LKM? _______ 180° < JKM? _______ < HFI? ______ 30° Pages 10-12: 1. 60° acute 2. 120° obtuse 3. 140° obtuse 4. 20° acute 5. 75° acute 6. 90° right 7. 55° acute 8. 95° obtuse 9 160° obtuse 10. 40° 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 150-4 5 = B or 45 + B = 150 C: # Sent: Either 95-40 = C or 40 + C = 95 D: # Sent: Either 140-63 = D or 63 + D = 140 E: # Sent: Either 135-82 = E or 82 + E = 135 F : # Sent: Either 90-68 = F or 68 + F = 90 G : # Sent: Either 180-125= G or 125+G =180 B = 105° C = 55° D = 77° E = 53° F = 22° G = 45° 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 150-4 5 = B or 45 + B = 150 C: # Sent: Either 95-40 = C or 40 + C = 95 D: # Sent: Either 140-63 = D or 63 + D = 140 E: # Sent: Either 135-82 = E or 82 + E = 135 F : # Sent: Either 90-68 = F or 68 + F = 90 G : # Sent: Either 180-125= G or 125+G =180 B = 105° C = 55° D = 77° E = 53° F = 22° G = 45° Name _________________________ Line Vocabulary Quiz Draw each of the following: Parallel lines or Answers may vary: Possibilities are shown below. A vertical line or a point labeled M M . 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 Name _________________________ Angle Quiz Sketch each of the following: 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°? Sketch an angle that measures about 30° How do you know it’s about 30°? Students may draw a 90° angle and divide it in half, since 45 is half of 90. Students may draw a 90° angle and divide it into three equal angles, since 30 x 3 is 90. 6. Name _________________________ Angle Quiz Measure each angle with a protractor. Tell what kind of angle it is. 50° Measure: _______ acute Type of Angle: __________________ 125° Measure: _______ obtuse Type of Angle: __________________ obtuse 170° Type of Angle: ___________________________ Measure: _______ 15° acute Measure: _______ Type of Angle: _______________________ Name _________________________ Angle Quiz Give the missing angle measure. Total Measure of 100° Total Measure of 140° ? ? 70° 93° Missing Measure: _________ Missing Measure: _________ Total Measure of 65° Total Measure of 115° ? ? 25° Missing Measure: _________ 62° Missing Measure: _________