Ch. 3 ReviewHonors GeometryCCHS

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

Transformations How many lines of reflectional symmetry doesthe figure have?

What is the smallest angleabout which the pentagonhas rotational symmetry?

Which rule proves the triangles congruent?

Given:

BCD

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?Given:

SAS

What rule proves the triangles congruent?

Not enough information (AAS labeling)

What rule proves the triangles congruent?Given:

ASA

One Step Proof: Given:

Prove:

Subtraction Property

One Step ProofGiven:<1 comp. <4<2 comp. <3

Prove:

If angles are complementary to congruent angles,

then they are congruent

One Step ProofGiven:

Prove:

Subtraction Property

One Step Proof:Given:

M and N are mdptsProve:

Multiplication Property

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.