Test 4 - Proving //ograms
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The document explains that the moving platform of an amusement park ride is always parallel to the ground. It does this by showing that the platform forms a parallelogram with the two swinging arms attached to it. Since opposite sides of a parallelogram are always parallel, and one side is parallel to the ground, the moving platform must also be parallel to the ground.
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Math Class presentation Hihschool.pptx
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Geometry unit 6.5
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5 similar+triangles%26 power+of+a+point+%28solutions%29
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4.8 congruence transformations and coordinate geometry
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Test 4 - Proving //ograms
- 1. Ride An amusement park ride has a moving platform attached to four swinging arms. The platform swings back and forth, higher and higher, until it goes over the top and around in a circular motion. In the diagram below, AD and BC represent two of the swinging arms, and DC is parallel to the ground (line l ) . Explain why the moving platform AB is always parallel to the ground.
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- 3. 1 4 7 8 2 3 5 6 Your Name Here In quadrilateral WXYZ , m W = 42°, m X =138° , m Y = 42° . Find m Z . Is WXYZ a parallelogram? Explain your reasoning. 1. 138°; yes; the sum of the measures of the interior angles in a quadrilateral is 360°, so the measure of is 138°. Since opposite angles of the quadrilateral are congruent , WXYZ is a parallelogram. Z ANSWER
- 4. The doorway shown is part of a building in England. Over time, the building has leaned sideways. Explain how you know that SV = TU . SOLUTION Since STUV is a parallelogram, SV = TU . Why? 1 4 7 8 2 3 5 6 Your Name Here ARCHITECTURE In the photograph, ST UV and ST UV . What does this tell us? Why?
- 5. Why is the below a parallelogram? 1 4 7 8 2 3 5 6 Your Name Here 2.
- 6. Why is the figure below a parallelogram? 1 4 7 8 2 3 5 6 Your Name Here 3.
- 7. 1 4 7 8 2 3 5 6 Your Name Here Why is the below a parallelogram? 4.
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