Geometric figures that have the same shape but may not have the same size are said to be ___ figures.

Similar

Two triangles are similar if their corresponding angles are equal and their corresponding sides are ___.

Proportional

True or False: All congruent figures are similar, but not all similar figures are congruent.

True

If two angles of one triangle are respectively equal to two angles of another triangle, then the triangles are similar by ___ similarity.

AA

What does the Basic Proportionality Theorem state?

In a triangle, a line drawn parallel to one side divides the other two sides in the same ratio.

Fill in the blank: If a line divides any two sides of a triangle in the same ratio, then this line is parallel to the ___ side of the triangle.

Third

Riddle: I have three sides and angles that can match, if you check my ratios, you'll see a catch. What am I?

A triangle

If two triangles are similar to a third triangle, what can be said about those two triangles?

They are similar to each other.

If one pair of corresponding sides of two triangles is proportional and the included angles are equal, then the triangles are similar by ___ similarity.

SAS

What condition must two triangles meet to be classified as similar according to SSS Similarity?

Their corresponding sides must be proportional.

The ratio between the areas of two similar triangles is equal to the ratio of the ___ of the corresponding sides.

Squares

If the scale factor k is greater than 1, the size transformation is called ___ .

Enlargement

True or False: If the scale factor k is less than 1, the size transformation is called enlargement.

False; it is called reduction.

If the map of a plane figure is drawn to the scale 1: k, then the length of the actual figure is equal to ___ x (length of the map).

K

What is the relationship between the area of the actual figure and the area of the map when the map is drawn to a scale of 1: k?

The area of the actual figure = k squared x (area of the map).

Fill in the blank: The model of a solid and the actual solid are ___ to one another.

Similar

Riddle: I multiply each side by a number greater than one, I make things grow; what am I?

A scale factor greater than 1 (enlargement).

If the model of a plane figure is drawn to the scale 1 : k, then the area of the actual figure is equal to ___ x (area of the model).

K squared

What happens to the dimensions of a figure if the scale factor k is less than one?

Each side of the actual figure is reduced by multiplying by k.

True or False: The area of two similar triangles is directly proportional to the ratio of their corresponding altitudes.

True