Position a right triangle on the grid with a vertex at the origin and its legs along the axes. Use the side lengths given. The first one is done for you. 1. 8 units wide, 6 units high 2. 7 units wide, 8 units high 4

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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7:43 D 0
Assignment8 Geom..pdf
Name
Date
Class
LESSON Coordinate Proof Using Distance with Segments and Triangles
| 10-3
Practice and Problem Solving: Modified
Position a right triangle on the grid with a vertex at the origin and its
legs along the axes. Use the side lengths given. The first one is done
for you.
1. 8 units wide, 6 units high
2. 7 units wide, 8 units high
8
6
6.
4
4
8
4
8
L(4, 6)
Find the midpoint of each side of AJKL The first one is
done for you.
3. JK_ (3, 1)
4. KL
5. LJ
K (6, 2)
Complete Problems 6-9 to finish the proof. The first one
is done for you.
J(0, 0)
Given: Triangle ABC with vertices
A(0, 0), B(5, 0), C(3, 4)
Prove: Triangle ABC is an isosceles triangle.
4
6. Using the distance formula, find the length
of side AB
2-
5
2
4
6
7. Find the length of BC.
8. Find the length of CA.
9. Explain why you can conclude that AABC is an isosceles triangle.
Original content Copytaht O by Houghton Miin Harcourt. Adgijons and chenges to the griginal condent are the responsibity of the instructor.
197
II
Transcribed Image Text:7:43 D 0 Assignment8 Geom..pdf Name Date Class LESSON Coordinate Proof Using Distance with Segments and Triangles | 10-3 Practice and Problem Solving: Modified Position a right triangle on the grid with a vertex at the origin and its legs along the axes. Use the side lengths given. The first one is done for you. 1. 8 units wide, 6 units high 2. 7 units wide, 8 units high 8 6 6. 4 4 8 4 8 L(4, 6) Find the midpoint of each side of AJKL The first one is done for you. 3. JK_ (3, 1) 4. KL 5. LJ K (6, 2) Complete Problems 6-9 to finish the proof. The first one is done for you. J(0, 0) Given: Triangle ABC with vertices A(0, 0), B(5, 0), C(3, 4) Prove: Triangle ABC is an isosceles triangle. 4 6. Using the distance formula, find the length of side AB 2- 5 2 4 6 7. Find the length of BC. 8. Find the length of CA. 9. Explain why you can conclude that AABC is an isosceles triangle. Original content Copytaht O by Houghton Miin Harcourt. Adgijons and chenges to the griginal condent are the responsibity of the instructor. 197 II
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