9.3.3.6

Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Example Problems
A sequence of transformations is described below.
1. A reflection over a line

2. A dilation about the point P
What must be preserved under this sequence of transformations:
angle measures and/or segment lengths?
A sequence of transformations is described below.
1. A translation
2. A rotation about a point A
3. A reflection over a line

What must be preserved under this sequence of transformations:
angle measures and/or segment lengths?
A sequence of transformations is described below.
1. A rotation about a
point S
2. A dilation about the same
point S
What must be preserved under this sequence of transformations:
angle measures and/or segment lengths?
Khan Academy Resources
Properties of congruence and equalityTriangle similarity reviewGetting ready for similarityTriangle congruence reviewDetermine congruent trianglesFind angles in congruent trianglesSolve triangles: angle bisector theoremDetermine similar triangles: AnglesDetermine similar triangles: SSSSolve similar triangles (basic)Solve similar triangles (advanced)Use similar trianglesJustify triangle congruenceUse ratios in right trianglesProve triangle propertiesProve triangle congruenceTriangle congruence postulates/criteriaDetermining congruent trianglesWhy SSA isn't a congruence postulate/criterionCorresponding angles in congruent trianglesTriangle similarity postulates/criteriaSolving similar trianglesIntro to triangle similarityDetermining similar trianglesSolving similar triangles: same side plays different rolesChallenging similarity problemUsing similar & congruent trianglesUsing the angle bisector theoremProving the SAS triangle congruence criterion using transformationsUsing similarity to estimate ratio between side lengthsAngle congruence equivalent to having same measureProving the SSS triangle congruence criterion using transformationsCalculating angle measures to verify congruenceSegment congruence equivalent to having same lengthGeometry word problem: Earth & Moon radiiGeometry word problem: a perfect pool shotDilating triangles: find the errorProving the ASA and AAS triangle congruence criteria using transformationsProving triangle congruenceGeometry word problem: the golden ratio
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