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BI
Big Ideas Math Geometry, 2014
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6. Proving Triangle Congruence by ASA and AAS
1. Basics of Geometry
p. 1-61
13 Subchapters
2. Reasoning and Proofs
p. 63-121
13 Subchapters
3. Parallel and Perpendicular Lines
p. 123-169
12 Subchapters
4. Transformations
p. 171-227
13 Subchapters
5. Congruent Triangles
p. 229-297
15 Subchapters
6. Relationships Within Triangles
p. 299-355
13 Subchapters
7. Quadrilaterals and Other Polygons
p. 357-413
12 Subchapters
8. Similarity
p. 415-459
11 Subchapters
9. Right Triangles and Trigonometry
p. 461-525
14 Subchapters
10. Circles
p. 527-652
14 Subchapters
11. Circumference, Area, and Volume
p. 591-663
15 Subchapters
12. Probability
p. 665-719
13 Subchapters
Additional Topic
1 Subchapters
Start
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Communicate Your Answer
p. 269
2 Solutions
3
p. 269
4
p. 269
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Monitoring Progress
p. 271-273
3 Solutions
1
p. 271
2
p. 272
3
p. 273
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Exercises
p. 274-276
38 Solutions
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Exercise
35
Page
276
Page
276
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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(1,1)
Practice makes perfect
Practice exercises
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Asses your skill
Test your problem-solving skills with the Criteria for Triangle Congruence test
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Progress overview
To find the
midpoint
, we can use the
Midpoint Formula
. (x_1+ x_2/2,y_1+ y_2/2)
The coordinates of the given endpoints are ( -2,3) and ( 4,-1). Let's use these to find the coordinates of the midpoint.
M(x_1+ x_2/2,y_1+ y_2/2)
SubstitutePoints
Substitute ( -2,3) & ( 4,-1)
M(-2+ 4/2,3+( -1)/2)
AddTerms
Add terms
M(2/2,2/2)
CalcQuot
Calculate quotient
M(1,1)
The midpoint is located at (1,1).
Criteria for Triangle Congruence
Level 1 exercises - Criteria for Triangle Congruence
Level 2 exercises - Criteria for Triangle Congruence
Level 3 exercises - Criteria for Triangle Congruence
Subchapter links
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Communicate Your Answer
p.269
3
4
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Monitoring Progress
p.271-273
1
2
3
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Exercises
p.274-276
1
2
3
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Exercises
15
(Page 274)
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Exercises
23
(Page 275)
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Exercises
25
(Page 275)
Exercises
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(Page 275)
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Exercises
30
(Page 276)
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Exercises
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Exercises
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(Page 276)
Exercises
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Exercises
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