# 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