Similarity and Dilations

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity where two angles of one triangle are equal to two angles of another triangle.

Front

What is the significance of a scale factor less than one in dilations?

Back

A scale factor less than one indicates that the image will be a reduction of the pre-image.

Front

If a building is 52 feet tall and the scale is 1 inch = 5 feet, what is the height of the model in inches?

Back

10.4 inches.

Front

What is the process to transform Triangle ABC into similar Triangle DEF?

Back

Translate A to D, rotate around Point D until D, E, and B are co-linear, then dilate by the scale factor EF/BC with center D.

Front

If two triangles are similar, how can you find the length of a missing side?

Back

Use the ratio of corresponding sides to set up a proportion and solve for the missing length.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, a criterion for triangle similarity where the lengths of corresponding sides of two triangles are proportional.

Front

What is the definition of dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but maintains its shape, defined by a center point and a scale factor.

Front

How do you determine if two triangles are similar using the SAS criterion?

Back

Two triangles are similar if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal.

Front

What is the formula to calculate the scale factor in a dilation?

Back

Scale Factor = Length of Image / Length of Pre-image.

Front

If Triangle ABC is dilated by a scale factor of 2, what happens to its area?

Back

The area of Triangle ABC will increase by a factor of 2^2 = 4.