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Geometry- Mrs. Tilus Name: ____________________________________ Unit 5- Worksheet #5: Inequalities and the Hinge Theorem 1. For each angle in △ ABC, name the side that is opposite that angle. 2. How can you tell from the angle measures of a triangle which side of the triangle is the longest? The shortest? List the sides and the angles in order from smallest to largest. 3. 4. 5. Is it possible to construct a triangle with the given side lengths? Show work to justify your answer. 6. 11, 6, 7 7. 34, 65, 28 8. 6, 10, 16 9. Which group(s) of side lengths can be used to construct a triangle? Show work to justify your answer. A. 3 yd , 4 ft , 5 yd
Transcript of Weeblytiluslm.weebly.com/.../0/5/88050222/unit_5-_worksheet_5.docx · Web viewUnit 5- Worksheet #5:...
Geometry- Mrs. TilusName: ____________________________________
Unit 5- Worksheet #5: Inequalities and the Hinge Theorem
1. For each angle in , name the side that is opposite that angle.
2. How can you tell from the angle measures of a triangle which side of the triangle is the longest? The shortest?
List the sides and the angles in order from smallest to largest.
3. 4. 5.
Is it possible to construct a triangle with the given side lengths? Show work to justify your answer.
6. 11, 6, 77. 34, 65, 288. 6, 10, 16
9. Which group(s) of side lengths can be used to construct a triangle? Show work to justify your answer.
A.
B.
C.
D.
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
10. 5 inches and 12 inches11. 2 feet and 40 inches
Complete with Justify your answer.
12. 13. 14.
AD ______ CD ______ TR ______ UR
15. 16. 17.
______ MN ______ LK ______
18. Which is a possible measure for ?
Explain why the student’s reasoning is not correct.
19.20.
The path from E to F is longer than the path from E to D. The path from G to D is the same length as the path from G to F. What can you conclude about the angles of the paths?
