8. G. 4 Understand two two-dimensional figures are similar if the second can be obtained from the first by a sequence of rotations, reflections, translations,

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Presentation transcript:

8. G. 4 Understand two two-dimensional figures are similar if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

Below is the dilation of a triangle by a scale factor of 3 Explain the effect of the dilation at the right on the following: Side length? Angle measures? Area? Perimeter?

Explain why congruence can be considered a special case of similarity.

Pre-image (x,y) A (3,0) B (0, 2) B. Plot the vertices of the image. Connect the vertices to complete the image. Draw the image of the pentagon after a dilation with a scale factor of 3/2. A. In the table below, list the vertices of the pentagon. Then use The rule for the dilation to write the vertices of the image.

Quadrilateral EFGH is an image of Quadrilateral ABCD The image can be created by a dilation followed by a reflection. Describe each transformation.

A student who is 72 inches tall wants to find the height of a flagpole. He measures the length of the flagpole’s shadow and the length of his own shadow at the same time of day, as shown in the sketch. Explain the error in the student’s work. 72 in x 48 in 128 in The triangles are similar by the AA similarity Criterion, so corresponding sides are proportional.

A graphic designer wants to lay out a grid system for a brochure that is 15 cm wide by 20 cm tall. The grid must have margins of 1 cm along all edges and 1 cm between each horizontal row of rectangles. There must be 4 rows of rectangles and each rectangle must be similar to the brochure itself. What are the dimensions of the rectangles? How many rectangles should appear in each row? How much space should be between the columns of rectangles? Give 2 different solutions.

Do you agree or disagree? Explain your reasoning.