taiwan-gsat 2021 Q11

taiwan-gsat · Other · gsat__math 5 marks Vectors Introduction & 2D True/False or Multiple-Statement Verification

On a plane, there is a trapezoid $A B C D$ with upper base $\overline { A B } = 10$, lower base $\overline { C D } = 15$, and leg length $\overline { A D } = \overline { B C } + 1$. Select the correct options.
(1) $\angle A > \angle B$
(2) $\angle B + \angle D < 180 ^ { \circ }$
(3) $\overrightarrow { B A } \cdot \overrightarrow { B C } < 0$
(4) The length of $\overline { B C }$ could be 2
(5) $\overrightarrow { C B } \cdot \overrightarrow { C D } < 30$

On a plane, there is a trapezoid $A B C D$ with upper base $\overline { A B } = 10$, lower base $\overline { C D } = 15$, and leg length $\overline { A D } = \overline { B C } + 1$. Select the correct options.\\
(1) $\angle A > \angle B$\\
(2) $\angle B + \angle D < 180 ^ { \circ }$\\
(3) $\overrightarrow { B A } \cdot \overrightarrow { B C } < 0$\\
(4) The length of $\overline { B C }$ could be 2\\
(5) $\overrightarrow { C B } \cdot \overrightarrow { C D } < 30$

Paper Questions

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