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Pearson Geometry Common Core, 2011
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7. Midpoint and Distance in the Coordinate Plane
1. Tools of Geometry
p. 7-78
12 Subchapters
2. Reasoning and Proof
p. 85-136
10 Subchapters
3. Parallel and Perpendicular Lines
p. 143-214
12 Subchapters
4. Congruent Triangles
p. 221-280
11 Subchapters
5. Relationships Within Triangles
p. 288-348
11 Subchapters
6. Polygons and Quadrilaterals
p. 356-428
13 Subchapters
7. Similarity
p. 436-486
9 Subchapters
8. Right Triangles and Trigonometry
p. 495-540
10 Subchapters
9. Transformations
p. 549-610
11 Subchapters
10. Area
p. 619-684
12 Subchapters
11. Surface Area and Volume
p. 691-758
11 Subchapters
12. Circles
p. 766-820
10 Subchapters
13. Probability
p. 827-875
10 Subchapters
End-Of-Course Assessment
3 Subchapters
Skills Handbook
12 Subchapters
Start
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Lesson Check
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5 Solutions
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Practice and Problem-Solving Exercises
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56 Solutions
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p. 56
3 Solutions
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Exercise
1
Page
53
Page
53
Hint & Answer
Solution
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Hints
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Use the
Midpoint Formula
.
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Check the answer
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(0.5,5.5)
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Practice exercises
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Progress overview
To find the
midpoint
, we can use the
Midpoint Formula
. M(x_1+x_2/2,y_1+y_2/2) The coordinates of the given endpoints are (2,4) and (-1,7). Let's use these to find the coordinates of the midpoint.
(x_1+x_2/2,y_1+y_2/2)
SubstitutePoints
Substitute ( 2,4) & ( -1,7)
(2+( -1)/2,4+ 7/2)
AddTerms
Add terms
(1/2,11/2)
WriteDec
Write as a decimal
(0.5,5.5)
The midpoint is located at (0.5, 5.5).
Using the Distance and Midpoint Formulas in Proofs
Level 1 exercises - Using the Distance and Midpoint Formulas in Proofs
Level 2 exercises - Using the Distance and Midpoint Formulas in Proofs
Level 3 exercises - Using the Distance and Midpoint Formulas in Proofs
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Lesson Check
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Lesson Check
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Standardized Test Prep
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