TRANSFORMATIONS,CONGRUENCE, & SIMILARITY

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Presentation transcript:

TRANSFORMATIONS,CONGRUENCE, & SIMILARITY UNIT 1 TEST REVIEW TRANSFORMATIONS,CONGRUENCE, & SIMILARITY

Translation/Rotation/Reflection

Dilations Dilate means “to make wider or larger.” A dilation changes the size, but not the shape.

Translation: EXAMPLE

Reflection: Example

Dilation & scale factor Example Dilate the figure by a scale factor of 3 A(1,1) B (3,1) C (3,3)

Dilations: Scale Factors Big to small = scale factors less than 1 Small to big = Scale factors larger than 1

Dilated images: Example Triangle ABC is dilated by a scale factor of 6. Its vertices are A(0,2), B(1,-2) C(6,7) What are the new coordinates?

Congruence

Similar Figures

Proportions:

Triangles

Finding Angles in Triangles

Finding Angles in Triangles

Triangle Angle: Problems If the congruent angles of an isosceles triangle each measure 41°, what is the measure of the third angle?

Triangle Angle problem

Parallel and Perpendicular lines

Alternate Interior/Exterior Corresponding Angles

Vertical Angles

Vertical Angle If angle F and G are vertical angles and measure of F = 63°, find measure of G.

Parallel Lines: Problems

Problems

Problems

Problems

Problems IF THE MEASURE OF ANGLE4