Unit 5, Lesson 9
Classifying with Slope
Integrated Math 1
Practice
Problem 1
A quadrilateral has vertices \(A(0,0), B(1,3), C (0,4),\) and \(D(\text-1,1)\). Prove that \(ABCD\) is a parallelogram.
Problem 2
A rhombus has vertices at \((0,0),(5,0),(3,4),\) and \((8,4)\).
- Find the slopes of the 2 diagonals of the rhombus.
- What do the slopes tell you about the diagonals in this rhombus?
Problem 3
- Show that the triangle formed with vertices at \((0,0), (4,3),\) and \((\text-2,11)\) is a right triangle.
- Find the area of the triangle.