Homework Help is Here – Start Your Trial Now!
Math
Geometry
2. Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain. A. В. 6. 88 8. D 490 6. 6. 43 8 4 12 49 10 H. 4. U 3 T

2. Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain. A. В. 6. 88 8. D 490 6. 6. 43 8 4 12 49 10 H. 4. U 3 T

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question
### Determining Polygon Similarity #### Task: Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain. #### A. Rectangles - **Rectangle LMON:** - LM = 4 - ON = 10 - **Rectangle RSTU:** - RS = 8 - UT = 3 **Analysis:** - Compare side ratios: - LM/RS = 4/8 = 1/2 - ON/UT = 10/3 - The side ratios are not equal, so the rectangles are not similar. #### B. Triangles - **Triangle DBC:** - DB = 6 - BC = 9 - DC = 12 - ∠D = 49° - ∠B = 88° - **Triangle HIJ:** - HI = 6 - IJ = 8 - HJ = 4 - ∠H = 43° - ∠I = 49° **Analysis:** - Compare angles: - ∠D (49°) with ∠I (49°) - The given angles do not correspond, and the triangles have different sets of angles; hence, they are not similar. ### Conclusion: Neither pair of polygons is similar because neither meets the criteria for similarity: equal corresponding angles and proportional corresponding sides.
Transcribed Image Text:### Determining Polygon Similarity #### Task: Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain. #### A. Rectangles - **Rectangle LMON:** - LM = 4 - ON = 10 - **Rectangle RSTU:** - RS = 8 - UT = 3 **Analysis:** - Compare side ratios: - LM/RS = 4/8 = 1/2 - ON/UT = 10/3 - The side ratios are not equal, so the rectangles are not similar. #### B. Triangles - **Triangle DBC:** - DB = 6 - BC = 9 - DC = 12 - ∠D = 49° - ∠B = 88° - **Triangle HIJ:** - HI = 6 - IJ = 8 - HJ = 4 - ∠H = 43° - ∠I = 49° **Analysis:** - Compare angles: - ∠D (49°) with ∠I (49°) - The given angles do not correspond, and the triangles have different sets of angles; hence, they are not similar. ### Conclusion: Neither pair of polygons is similar because neither meets the criteria for similarity: equal corresponding angles and proportional corresponding sides.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS