Math 2 Unit 2 Midterm Review

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What is the ASA congruence theorem?

Back

The ASA (Angle-Side-Angle) congruence theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

Which triangle congruence tests are valid?

Back

The valid tests for triangle congruence are SSS (Side-Side-Side), SAS (Side-Angle-Side), AAS (Angle-Angle-Side), and ASA (Angle-Side-Angle). The SSA (Side-Side-Angle) test is not valid.

Front

What is the relationship between the angles of similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

How do you find the height of an object using similar triangles?

Back

You can set up a proportion using the heights and shadows of the objects. For example, if a 5-foot tall man casts a 7-foot shadow and a tree casts a 14-foot shadow, the proportion is: \( \frac{5}{7} = \frac{h}{14} \), where h is the height of the tree.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the SSS congruence theorem?

Back

The SSS (Side-Side-Side) congruence theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the AAS congruence theorem?

Back

The AAS (Angle-Angle-Side) congruence theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the significance of the angle sum property in triangles?

Back

The angle sum property states that the sum of the interior angles of a triangle is always 180 degrees.

Front

How do you determine if two triangles are similar using angle measures?

Back

If two triangles have two pairs of corresponding angles that are equal, then the triangles are similar by the AA (Angle-Angle) similarity criterion.