Unit 4 Flashcard 1

Front

Solve for x: 3x + 6 = 30. Write down your work.

Back

x = 8.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

When is a dilation considered an enlargement?

Back

A dilation is an enlargement when the scale factor is greater than 1.

Front

What does AA~ mean in triangle similarity?

Back

AA~ means 'Angle-Angle Similarity', indicating that two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Front

If triangle ABC is similar to triangle DEF, what can we say about their corresponding sides?

Back

The ratios of the lengths of corresponding sides are equal.

Front

What is the scale factor if triangle GHI is dilated to triangle G'H'I' and the lengths of corresponding sides are in the ratio 1:3?

Back

The scale factor is 3.

Front

Find the value of x in the equation: 5x - 10 = 15.

Back

x = 5.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

If the scale factor of a dilation is 1/2, what happens to the size of the figure?

Back

The figure is reduced to half its original size.

Front

What is the similarity statement for triangles that are similar by the SSS similarity theorem?

Back

If triangle ABC is similar to triangle DEF, the similarity statement is ΔABC ~ ΔDEF.