Ch. 3 Review Honors Geometry CCHS. Transformations Topics  Find image given a description of a translation, reflection, or rotation.  Find image given.

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Presentation transcript:

Ch. 3 Review Honors Geometry CCHS

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.

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.

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.

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.

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.

Transformations

 How many lines of reflectional symmetry does the figure have?  What is the smallest angle about which the pentagon has rotational symmetry?

Which rule proves the triangles congruent?

ASA

What rule proves the triangles congruent?

SAS

What rule proves the triangles congruent?

Not enough information (SSA labeling)

What rule proves the triangles congruent?

SAS

What rule proves the triangles congruent?

Not enough information (AAS labeling)

What rule proves the triangles congruent?

ASA

One Step Proof:

Subtraction Property

One Step Proof

If angles are complementary to congruent angles, then they are congruent

One Step Proof

Subtraction Property

One Step Proof:

Multiplication Property

Chapter 3 Tips  Labeling Congruent Triangles: Follow around the perimeter of a labeled triangle  Review Properties (sec 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.