Lesson Worksheet: Geometric Applications of Vectors Mathematics
In this worksheet, we will practice using vector operations and vector properties to solve problems involving geometrical shapes.
Q1:
Fill in the blank: In triangle , .
- A
- B
- C
- D
- E
Q2:
Fill in the blank: In the parallelogram , .
- A
- B
- C
- D
- E
Q3:
Which of the following is equivalent to ?
- A
- B
- C
- D
- E
Q4:
Given the information in the diagram below, find the value of such that .
- A
- B
- C
- D
Q5:
In the triangle , , where . Given that , find the value of .
Q6:
Trapezoid has vertices , , , and . Given that and , find the area of that trapezoid.
Q7:
is a rectangle, in which the coordinates of the points , , and are , , and , respectively. Use vectors to find the value of and the coordinates of point .
- A,
- B,
- C,
- D,
- E,
Q8:
Complete the following: If is a quadrilateral and and they are parallel, then the quadrilateral can always be classified as .
- Aa kite
- Ba parallelogram
- Ca trapezoid
- Da rectangle
- Ean isosceles trapezoid
Q9:
is a quadrilateral in which , , , and . Determine its type using vectors.
- AParallelogram
- BRectangle
- CKite
- DTrapezoid
Q10:
is a square, in which the coordinates of the points , , and are , , and . Use vectors to determine the coordinates of the point and the area of the square.
- A, area
- B, area
- C, area
- D, area
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