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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What formula is used to find the area of a triangle given its vertex coordinates?
💡 Hint: Think about how determinant helps in finding areas of shapes.
Question 2
Easy
Identify the coordinates of a point in the plane.
💡 Hint: Recall how points are plotted on a coordinate graph.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for determining the area of a triangle on a coordinate plane?
- A = 1/3 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |
- A = 1/2 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |
- A = x1 + x2 + x3
💡 Hint: Remember to account for the half and absolute value.
Question 2
Is the area of a triangle always a positive value?
- True
- False
💡 Hint: Think about what area represents geometrically.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If a triangle has vertices A(5, 10), B(10, 15), and C(15, 5), calculate the area and explain your method.
💡 Hint: Carefully substitute each value and simplify.
Question 2
Given points A(-4, -2), B(-1, 2), C(3, -4), find the area and reflect on how the coordinates influence the value.
💡 Hint: Note how negative coordinates might affect the calculations.
Challenge and get performance evaluation