Vehicle Lifts A truck sits on the platform of a vehicle lift. Two moving arms raise the platform until a mechanic can fit underneath. Why will the truck always remain parallel to the ground as it is lifted? Explain.
As the arms of the lift move, what changes and what stays the same?
The angles the arms form with the ground and the platform change, but the lengths of the arms and the platform stay the same.
The angles of PQRS change as platform
Method | Source | Diagram |
---|---|---|
Prove that both pairs of opposite sides are parallel. | Definition of parallelogram | |
Prove that both pairs of opposite sides are congruent. | Theorem 6-8 | |
Prove that an angle is supplementary to both of its consecutive angles. | Theorem 6-9 | |
Prove that both pairs of opposite angles are congruent. | Theorem 6-10 | |
Prove that the diagonals bisect each other. | Theorem 6-11 | |
Prove that one pair of opposite sides is congruent and parallel. | Theorem 6-12 |