![Geometry, Student Edition](https://www.bartleby.com/isbn_cover_images/9780078884849/9780078884849_smallCoverImage.jpg)
Concept explainers
To find: Whether the stated conclusion is valid based on the given information, if not, write invalid.
![Check Mark](/static/check-mark.png)
Answer to Problem 17PPS
The conclusion is invalid.
Explanation of Solution
Given:
If figure is a square, it has four right
Calculation:
First identify the hypothesis
Let
Let
Now analyze the conclusion.
The given statement “figure
Use the Law of Detachment,
“if
Therefore, by the Law of Detachment does not apply. It is known that a conditional statement and its conclusion are true does not make the hypothesis true. So, the conclusion “figure
Chapter 2 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Basic Business Statistics, Student Value Edition
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Algebra and Trigonometry (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Question 1 Calculate the Moment about the point A in Nx m A 300 N 2 m 500 N 4 B C 0.8 m 1.2 marrow_forwardWhat is the area of this figure? 22 mm 5 mm 3 mm 3 mm 7 mm 4 mm Write your answer using decimals. Use 3.14 for л. Submit square millimetersarrow_forwardThis figure is made up of a rectangle and parallelogram. What is the area of this figure? Enter your answer in the box. Do not round any side lengths.arrow_forward
- Rhombus PQRSPQRS is shown on the coordinate plane. Points MM and NN are midpoints of their respective sides.arrow_forwardPlease help me answer this question!. Please handwrite it. I don't require AI answers. Thanks for your time!.arrow_forward1 What is the area of triangle ABC? 12 60° 60° A D B A 6√√3 square units B 18√3 square units 36√3 square units D 72√3 square unitsarrow_forward
- ◆ Switch To Light Mode HOMEWORK: 18, 19, 24, 27, 29 ***Please refer to the HOMEWORK sheet from Thursday, 9/14, for the problems ****Please text or email me if you have any questions 18. Figure 5-35 is a map of downtown Royalton, showing the Royalton River running through the downtown area and the three islands (A, B, and C) connected to each other and both banks by eight bridges. The Down- town Athletic Club wants to design the route for a marathon through the downtown area. Draw a graph that models the layout of Royalton. FIGURE 5-35 North Royalton Royalton River South Royption 19. A night watchman must walk the streets of the Green Hills subdivision shown in Fig. 5-36. The night watch- man needs to walk only once along each block. Draw a graph that models this situation.arrow_forwardSolve this question and check if my answer provided is correctarrow_forwardProof: LN⎯⎯⎯⎯⎯LN¯ divides quadrilateral KLMN into two triangles. The sum of the angle measures in each triangle is ˚, so the sum of the angle measures for both triangles is ˚. So, m∠K+m∠L+m∠M+m∠N=m∠K+m∠L+m∠M+m∠N=˚. Because ∠K≅∠M∠K≅∠M and ∠N≅∠L, m∠K=m∠M∠N≅∠L, m∠K=m∠M and m∠N=m∠Lm∠N=m∠L by the definition of congruence. By the Substitution Property of Equality, m∠K+m∠L+m∠K+m∠L=m∠K+m∠L+m∠K+m∠L=°,°, so (m∠K)+ m∠K+ (m∠L)= m∠L= ˚. Dividing each side by gives m∠K+m∠L=m∠K+m∠L= °.°. The consecutive angles are supplementary, so KN⎯⎯⎯⎯⎯⎯∥LM⎯⎯⎯⎯⎯⎯KN¯∥LM¯ by the Converse of the Consecutive Interior Angles Theorem. Likewise, (m∠K)+m∠K+ (m∠N)=m∠N= ˚, or m∠K+m∠N=m∠K+m∠N= ˚. So these consecutive angles are supplementary and KL⎯⎯⎯⎯⎯∥NM⎯⎯⎯⎯⎯⎯KL¯∥NM¯ by the Converse of the Consecutive Interior Angles Theorem. Opposite sides are parallel, so quadrilateral KLMN is a parallelogram.arrow_forward
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)