To calculate:
Given
Answer to Problem 40SGR
Since the shape is rhombus, it has four right
Explanation of Solution
Given information:
Using distance formula,
Length of each segment:
It is observed that that this appears to be a square, which is also a rhombus (four sides the same length) and a rectangle (four right angles).
To prove that four sides are congruent (rhombus), use the distance formula on each side.
it is a rectangle by showing that all angles are right angles. Need to find slopes of all of the lines and show that they are perpendicular (negative reciprocal slopes).
By using formula for slope to find the slopes of each line.
Slope of
This the angles formed are all right angles so the shape in a rectangle.
Since the shape is rhombus, it has four right angles, so by definition it is rhombus.
Chapter 6 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
College Algebra (7th Edition)
A First Course in Probability
Elementary Statistics
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning