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.
Fill in the blank: In triangle , .
Fill in the blank: In the parallelogram , .
Which of the following is equivalent to ?
Given the information in the diagram below, find the value of such that .
In the triangle , , where . Given that , find the value of .
Trapezoid has vertices , , , and . Given that and , find the area of that trapezoid.
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 .
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
is a quadrilateral in which , , , and . Determine its type using vectors.
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