Homework Help is Here – Start Your Trial Now!
Math
Geometry
In parallelogram WXYZ, what is CY? O 11 ft O 15 ft (x+4) ft (2x-7) t O 21 ft O23 ft

In parallelogram WXYZ, what is CY? O 11 ft O 15 ft (x+4) ft (2x-7) t O 21 ft O23 ft

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
### Geometry Problem: Finding Segment Length in a Parallelogram **Question:** In parallelogram WXYZ, what is the length of segment CY? **Options:** - 11 ft - 15 ft - 21 ft - 23 ft **Diagram Description:** The given problem includes a diagram of a parallelogram WXYZ. Within the parallelogram, there are two intersecting diagonals WX and YZ. - The length of segment WX is represented as (x + 4) feet. - The length of segment YZ is represented as (2x - 7) feet. - The diagonals intersect at point C. **Solution:** To solve for the length of segment CY, students need to use the properties of parallelograms and solve the system of equations for x. Based on the options provided, determine which value of x satisfies both expressions for the lengths of WX and YZ. **Answer Explanation:** 1. Set the equations equal to each other, as the diagonals bisect each other in a parallelogram: (x + 4) = (2x - 7) 2. Solve for x: x + 4 = 2x - 7 4 + 7 = 2x - x 11 = x 3. Substitute x back into the expressions to find the lengths of the segments. This method provides the necessary steps to determine the correct length for CY based on the given options.
Transcribed Image Text:### Geometry Problem: Finding Segment Length in a Parallelogram **Question:** In parallelogram WXYZ, what is the length of segment CY? **Options:** - 11 ft - 15 ft - 21 ft - 23 ft **Diagram Description:** The given problem includes a diagram of a parallelogram WXYZ. Within the parallelogram, there are two intersecting diagonals WX and YZ. - The length of segment WX is represented as (x + 4) feet. - The length of segment YZ is represented as (2x - 7) feet. - The diagonals intersect at point C. **Solution:** To solve for the length of segment CY, students need to use the properties of parallelograms and solve the system of equations for x. Based on the options provided, determine which value of x satisfies both expressions for the lengths of WX and YZ. **Answer Explanation:** 1. Set the equations equal to each other, as the diagonals bisect each other in a parallelogram: (x + 4) = (2x - 7) 2. Solve for x: x + 4 = 2x - 7 4 + 7 = 2x - x 11 = x 3. Substitute x back into the expressions to find the lengths of the segments. This method provides the necessary steps to determine the correct length for CY based on the given options.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Area of a Circle
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