
Angles in Similar Triangles
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
8 Slides • 5 Questions
1
1/14 Geometry
Shortcuts for Similar Triangles
By Nichole Nuckols
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For Congruence, we had 5 shortcuts:
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For Similarity, we have 3 shortcuts:
AA (Angle-Angle) Similarity
If two angles in one triangle are congruent to two angles in another triangle, then the triangles are similar.
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Things to Remember!!
Vertical Angles
1) Congruent
2) Formed by any pair of intersecting lines
3) Share only one point, the vertex
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Things to Remember!!
The sum of all the interior angles of a triangle will always be 180.
Triangle Angle Sum Theorem
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Things to Remember!!
1) Two or more parallel lines intersected by the same transversal create special angle pairs
2) Usually use corresponding and alternating interior angles
Transversals and Parallel Lines
If QD is the transversal, then angles Q and D are alternating interior angles.
If BD is the transversal, then angles BLM and BDC are corresponding angles.
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Now we're going to practice using the AA shortcut.
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Multiple Choice
Are the triangles similar by the AA shortcut? If yes, write the similarity statement.
Similar; △LMN ∼△RPQ
Similar; △LMN∼△PQR
Similar; △LMN∼△QRP
Not Similar
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Multiple Choice
Are the triangles similar by the AA shortcut? If yes, write the similarity statement.
Not Similar
Similar; △CDE∼△VCW
Similar; △CDE∼△CVW
Similar; △CDE∼△VWC
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Multiple Choice
Are the triangles similar by the AA shortcut? If yes, write the similarity statement.
Not Similar
Similar; △QRS∼△KLQ
Similar; △QRS∼△QKL
Similar; △QRS∼△QLK
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Multiple Choice
Are the triangles similar by the AA shortcut? If yes, write the similarity statement.
Not Similar
Similar; △DEF∼△CBA
Similar; △DEF∼△ACB
Similar; △DEF∼△CAB
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Multiple Choice
Are the triangles similar by the AA shortcut? If yes, write the similarity statement.
Similar; △BCD∼△BUV
Not Similar
Similar; △BCD∼△BVU
Similar; △BCD∼△VUB
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Thank you for your time and participation!
Please check Google Classroom and complete the linked IXL. Thank you!
1/14 Geometry
Shortcuts for Similar Triangles
By Nichole Nuckols
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