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Ch. 3 Review Honors Geometry CCHS
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Transformations Topics Find image given a description of a translation, reflection, or rotation. Find image given a function describing a transformation. Determine if the transformation is a translation, reflection, rotation, or none of the above. Translate figures using directed line segments.
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Transformations Topics Reflect over a given line. Rotate 90 degrees or 180 degrees around a given point. Determine lines of reflectional symmetry. Understand the concept of rotational symmetry.
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Triangle Congruence Determine if triangles can be proved congruent by SSS, SAS, ASA, or none of the above. Write basic two-column proofs proving triangles congruent (MAKE SURE TO INCLUDE THREE CONGRUENCE STATEMENTS!) Apply properties to prove corresponding parts of triangles congruent.
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Transformations Give the image if the point (-1, 5) is translated up 2 and to the left 3. Give the image if (-3, 6) is reflected over the y axis. Give the image if (-2, 5) is reflected over the line y = 2.
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Transformations Give the image if (2, -5) is rotated 90 degrees clockwise about the origin. Give the resulting image if the function (x, y) (y, -x) is applied to the point (-1, 4). Is this a translation, reflection, or rotation? Write a function that reflects a point over the x-axis.
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Transformations
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How many lines of reflectional symmetry does the figure have? What is the smallest angle about which the pentagon has rotational symmetry?
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Which rule proves the triangles congruent?
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ASA
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What rule proves the triangles congruent?
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SAS
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What rule proves the triangles congruent?
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Not enough information (SSA labeling)
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What rule proves the triangles congruent?
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SAS
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What rule proves the triangles congruent?
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Not enough information (AAS labeling)
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What rule proves the triangles congruent?
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ASA
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One Step Proof:
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Subtraction Property
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One Step Proof
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If angles are complementary to congruent angles, then they are congruent
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One Step Proof
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Subtraction Property
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One Step Proof:
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Multiplication Property
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Chapter 3 Tips Labeling Congruent Triangles: Follow around the perimeter of a labeled triangle Review Properties (sec. 2.4-2.7 in book) Proofs: LABEL DIAGRAMS!!! Proofs: Include all labeling steps in proof Triangle Congruence Proofs: Make sure you have THREE CONGRUENCE statements! (Label S and A) Proofs: Make sure you have satisfied requirements of IF statements before including a step.
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