MATH SOLVE

4 months ago

Q:
# A rectangle has vertices at these coordinates. (5, −3), (5, −8),(8, −3) What are the coordinates of the fourth vertex of the rectangle? Enter the coordinates in the boxes.will give brainlest

Accepted Solution

A:

Answer:Coordinate of 4th vertex of the rectangle is ( 8 , -8 ). Step-by-step explanation:Given Vertices of Rectangle are ( 5 , -3 ) , ( 5 , -8 ) , ( 8 , -3 ) To find: Coordinate of Fourth Vertex of the rectangle.First, Plot all given three points on the graph.Graph is attached.We know that Opposite sides of the rectangle are equal and parallel.Also All angles of rectangles are right angle.So to satisfy these properties of rectangle.4th coordinate must be on line x = 8 and y = -8.⇒ Fourth coordinate = ( 8 , -8 )Therefore, Coordinate of 4th vertex of the rectangle is ( 8 , -8 ).