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8. Identify the first step to finding the incenter of AJKL using the paper folding method. K L Unfold the paper. Use a straightedge to draw a line from ZK along the crease. Fold the paper so the legs of ZK overlap. Label the point of intersection as the incenter. Repeat the steps for either ZJ or ZL.

8. Identify the first step to finding the incenter of AJKL using the paper folding method. K L Unfold the paper. Use a straightedge to draw a line from ZK along the crease. Fold the paper so the legs of ZK overlap. Label the point of intersection as the incenter. Repeat the steps for either ZJ or ZL.

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
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### How to Find the Incenter of a Triangle Using the Paper Folding Method #### Question: **8. Identify the first step to finding the incenter of ∆JKL using the paper folding method.** #### Diagram: A triangle JKL is depicted, with vertices labeled J, K, and L. #### Instructions: 1. **Unfold the paper. Use a straightedge to draw a line from ∠K along the crease.** 2. **Fold the paper so the legs of ∠K overlap.** 3. **Label the point of intersection as the incenter.** 4. **Repeat the steps for either ∠J or ∠L.** #### Explanation: The question asks for the first step to locate the incenter of the given triangle ∆JKL using a paper folding method. In the triangle JKL, the incenter is the point where the angle bisectors of the triangle intersect. This method uses paper folding to find that precise point: 1. **Fold the paper so the legs of ∠K overlap.** - This step creates a crease along the angle bisector of ∠K. After completing this first step, subsequent steps involve repeating the folding process for the other angles (∠J or ∠L) and marking their intersections to identify the incenter.
Transcribed Image Text:### How to Find the Incenter of a Triangle Using the Paper Folding Method #### Question: **8. Identify the first step to finding the incenter of ∆JKL using the paper folding method.** #### Diagram: A triangle JKL is depicted, with vertices labeled J, K, and L. #### Instructions: 1. **Unfold the paper. Use a straightedge to draw a line from ∠K along the crease.** 2. **Fold the paper so the legs of ∠K overlap.** 3. **Label the point of intersection as the incenter.** 4. **Repeat the steps for either ∠J or ∠L.** #### Explanation: The question asks for the first step to locate the incenter of the given triangle ∆JKL using a paper folding method. In the triangle JKL, the incenter is the point where the angle bisectors of the triangle intersect. This method uses paper folding to find that precise point: 1. **Fold the paper so the legs of ∠K overlap.** - This step creates a crease along the angle bisector of ∠K. After completing this first step, subsequent steps involve repeating the folding process for the other angles (∠J or ∠L) and marking their intersections to identify the incenter.
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