✓ Lesson Check
Write an inequality relating the given side lengths or angle measures.
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FD and BC
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Do you UNDERSTAND?
- Vocabulary Explain why Hinge Theorem is an appropriate name for Theorem 5-13.
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Error Analysis From the figure below, your friend concludes that
- Compare and Contrast How are the Hinge Theorem and the SAS Congruence Postulate similar?
Practice and Problem-Solving Exercises
A Practice
See Problem 1.
Write an inequality relating the given side lengths. If there is not enough information to reach a conclusion, write no conclusion.
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AB and AD
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PR and RT
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LM and KL
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YZ and UV
See Problem 2.
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The diagram below shows a robotic arm in two different positions. In which position is the tip of the robotic arm closer to the base? Use the Hinge Theorem to justify your answer.
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs