14. On GeoGebra, use the compass and straightedge, construct right triangle AXYZ such that 4Y is a right angle and mLX = 60. Then construct the atlitutde from Y to XZ. Draw a quick sketch of your GeoGebra work below so you can complete parts b and c with the rest of your short answer (your GeoGebra work will not be visible to you once I close the classroom) b. Fill in the blanks: AXYZ~A c. Complete the extended proportion: XY - XZ YZ
14. On GeoGebra, use the compass and straightedge, construct right triangle AXYZ such that 4Y is a right angle and mLX = 60. Then construct the atlitutde from Y to XZ. Draw a quick sketch of your GeoGebra work below so you can complete parts b and c with the rest of your short answer (your GeoGebra work will not be visible to you once I close the classroom) b. Fill in the blanks: AXYZ~A c. Complete the extended proportion: XY - XZ YZ
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
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This is a geometry question.
I’ve already constructed the shape and only need help on parts b and c.
![Title: Constructing and Analyzing Right Triangles in GeoGebra
**Activity Instructions:**
14. Use GeoGebra to construct a right triangle \( \triangle XYZ \) by using the compass and straightedge tools. Ensure that angle \( \angle Y \) is a right angle and \( m\angle X = 60^\circ \). After constructing the triangle, draw the altitude from point \( Y \) to side \( \overline{XZ} \).
**Task:**
Draw a quick sketch of your GeoGebra work below to complete parts b and c. Remember, your GeoGebra work will no longer be visible once the classroom activity is closed.
**Exercises:**
**b. Similarity Relationships:**
Fill in the blanks for the following similarity statement:
\[ \triangle XYZ \sim \triangle _____ \sim \triangle _____ \]
**c. Proportionality:**
Complete the extended proportion based on your triangle construction:
\[
\frac{XY}{____} = \frac{XZ}{____} = \frac{YZ}{____}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc52b8848-81e8-44e6-b993-71dacd213084%2Ffa649a46-e808-47ec-a4cd-4a5f653d3073%2Fc94j1t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Constructing and Analyzing Right Triangles in GeoGebra
**Activity Instructions:**
14. Use GeoGebra to construct a right triangle \( \triangle XYZ \) by using the compass and straightedge tools. Ensure that angle \( \angle Y \) is a right angle and \( m\angle X = 60^\circ \). After constructing the triangle, draw the altitude from point \( Y \) to side \( \overline{XZ} \).
**Task:**
Draw a quick sketch of your GeoGebra work below to complete parts b and c. Remember, your GeoGebra work will no longer be visible once the classroom activity is closed.
**Exercises:**
**b. Similarity Relationships:**
Fill in the blanks for the following similarity statement:
\[ \triangle XYZ \sim \triangle _____ \sim \triangle _____ \]
**c. Proportionality:**
Complete the extended proportion based on your triangle construction:
\[
\frac{XY}{____} = \frac{XZ}{____} = \frac{YZ}{____}
\]
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