1.1. Geometric Figures What s My Name? ACTIVITY

Transcription

1 Geometric igures SUGGST LRNING STRTGIS: Think/Pair/Share, Interactive Word Wall, ctivating Prior Knowledge, Group Presentation TIVITY 1.1 elow are some types of figures you have seen in earlier mathematics courses. escribe each figure. Using geometric terms and symbols, list as many names as possible for each figure. 1. Q 2. G H 3. X Y Z l m 6. K J T N P χ 7. TRY THS Identify each geometric figure. Then use symbols to write two different names for each. a. Q P b. N Unit 1 Proof, Parallel and Perpendicular Lines 3

2 TIVITY 1.1 Geometric igures SUGGST LRNING STRTGIS: Think/Pair/Share, Interactive Word Wall, ctivating Prior Knowledge, iscussion Group, Self/Peer Revision 8. raw four angles with different characteristics. escribe each angle. Name the angles using numbers and letters. 9. ompare and contrast each pair of angles. MTH TRMS When you compare and contrast two figures, you describe how they are alike or different. a. b Springoard Mathematics with Meaning Geometry

3 Geometric igures TIVITY 1.1 SUGGST LRNING STRTGIS: iscussion Group, Peer/Self Revision c. 30 S R 60 T d. 30 X 150 Y Z 10. a. The figure below shows two intersecting lines. Name two angles that are supplementary to 4. b. xplain why the angles you named in part a must have the same measure Unit 1 Proof, Parallel and Perpendicular Lines 5

4 TIVITY 1.1 Geometric igures SUGGST LRNING STRTGIS: iscussion Group, reate Representations, ctivating Prior Knowledge TRY THS omplete the chart by naming all the listed angle types in each figure cute angles Obtuse angles ngles with the same measure Supplementary angles omplementary angles 11. In the circle below, draw and label each geometric term. a. Radius O b. hord c. iameter 12. Refer to your drawings in circle above. What is the geometric term for point O? 6 Springoard Mathematics with Meaning Geometry

5 Geometric igures TIVITY 1.1 SUGGST LRNING STRTGIS: iscussion Group, reate Representations, ctivating Prior Knowledge 13. In the space below, draw a circle with center P and radius PQ = 1 in. Locate a point so that P = 1 1 in. Locate a point 2 so that P = 4 3 in. 14. Use your diagram to complete these statements. a. lies the circle because. b. lies the circle because. 15. In your diagram above, draw circles with radii P and P. These three circles are called. Unit 1 Proof, Parallel and Perpendicular Lines 7

6 TIVITY 1.1 Geometric igures TRY THS lassify each segment in circle O. Use all terms that apply. : O : O : O : O O : : HK YOUR UNRSTNING Write your answers on on notebook paper. paper. Show Show your your work. 6. ompare and contrast the terms acute angle, work. obtuse angle, right angle, and straight angle. 1. escribe all acceptable ways to name a line. 7. The measure of is escribe all acceptable ways to name a plane. a. What is the measure of an angle that is complementary to? 3. ompare and contrast collinear and coplanar points. 4. What are some acceptable ways to name an angle? 5. a. Why is there a problem with using to name the angle below? b. How many angles are in the figure? b. What is the measure of an angle that is supplementary to? 8. raw a circle P. a. raw a segment that has one endpoint on the circle but is not a chord. b. raw a segment that intersects the circle in two points, contains the center, but is not a radius, diameter, or chord. 9. MTHMTIL RLTION How can you use the figures in this activity to describe real-world objects and situations? Give examples. 8 Springoard Mathematics with Meaning Geometry