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Name: ______________________________Date: May 2, 2017Homeroom: 7th Grade Math:Unit: GeometryPacket 127: Drawing Geometric Shapes 2 Objectives: Scholars will be able to determine the conditions under which unique triangles are constructed. Agenda: Review Do Now6. Exit TicketExploratory Challenge7. Homework OverviewSide, Side, Side Condition (SSS)Side, Angle, Side Condition (SAS)Independent PracticeHomework 127: Drawing Geometric Shapes 2Do Now:Use the following three lengths to draw a triangle. Exploratory ChallengeA triangle ΔXYZ exists with side lengths of the segments below. Draw a triangle ΔX’Y’Z’ with the same lengths as ΔXYZ. Use your compass to determine the sides of ΔX’Y’Z’. Use your ruler to measure side lengths. Leave all construction marks as evidence of your work, and label all side and angle measurements. Under what condition is ΔX’Y’Z’ drawn? Compare the triangle you drew to your partner’s triangle. Are the triangles identical? Side, Side, Side Condition (SSS)Triangle ΔABC is located below. Copy the sides of the triangle to create ΔA’B’C’. Use your compass to determine the sides of ΔA’B’C’. Use your ruler to measure side lengths. Leave all construction marks as evidence of your work, and label all side and angle measurements. -5365756540500Under what condition is ΔA’B’C’ drawn? Compare the triangle you drew to your partner’s triangle. Are the triangles identical?Conclusion: __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Side, Angle, Side Condition (SAS)A triangle ΔDEF has an angle of 40? adjacent to side lengths of 4 cm and 7 cm. Construct ΔD’E’F’ with side lengths D’E’ = 4 cm, D’F’ = 7 cm, and included angle ∠D = 40?. Use your compass to draw the sides of ΔD’E’F’. Use your ruler to measure side lengths. Leave all construction marks as evidence of your work, and label all angle measurements. -53911562928500Under what condition is ΔD’E’F’ drawn? Compare the triangle you drew to your partner’s triangle. Did the conditions produce a unique triangle?Conclusion: __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Independent PracticeΔXYZ has side lengths XY = 2.5 cm, XZ = 4 cm, and ∠X = 120 ?. Draw ΔX’Y’Z’ under the same conditions. Use your compass and protractor to draw the sides of ΔX’Y’Z’. Use your ruler to measure all side lengths. Leave all construction marks as evidence of your work, and label all side measurements. Under what condition is ΔX’Y’Z’ drawn? Compare the triangle you drew to your peer’s triangle. Are the triangles identical?A triangle with side lengths of 3 cm, 4 cm, and 5 cm exists. Use your compass and ruler to draw a triangle with the same side lengths. Leave all construction marks as evidence of your work, and label all side and angle measurements. Under what condition is the triangle drawn? Compare the triangle you drew to your partner’s triangle. Are the triangles identical?A triangle has side lengths of 5 cm and 6 cm. Draw two non-identical triangles that satisfy these conditions. Explain why your triangles are not identical. Name: ______________________________Date: May 2, 2017Homeroom: Mrs. Petrozzi: (614) 725-96937th Grade Math:Unit: GeometryPacket 127: Drawing Geometric Shapes 2Redo:Score: ________/5 _________% DNGA B C D FDirections: Answer the following questions. Show all of your work and circle your final answer. Is it possible to construct a triangle with angle measurements of 20?, 55? and 105?? Explain why or why not in a complete sentence.The Ohio state flag contains an isosceles triangle. What is the measure of x? Show all of your work.Jennifer has 78 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Jennifer the garden with the greatest area? The diagrams are not made to scale. Prove your answer is correct by calculating the area for each of the rectangles. A.B.C.D.Name: ______________________________Date: May 2, 2017Homeroom: 7th Grade Math:Unit: GeometryPacket 127: Drawing Geometric Shapes 2Directions: Answer the following questions. Circle your final answers. When you finish the exit ticket, place it face down on your desk and assign yourself to your advanced work or an independent reading book. Choose either the Side, Side, Side condition or the Side, Angle, Side condition and explain why the condition produces a unique triangle. ................
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