Geometry A Unit 4

Front

What does it mean for two triangles to be similar?

Back

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

Front

What is the SAS Congruence Theorem?

Back

The SAS (Side-Angle-Side) Congruence Theorem states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are congruent.

Front

How do you determine the number of lines of symmetry in a shape?

Back

A line of symmetry is a line that divides a shape into two identical parts. Count the number of ways you can fold the shape so that both halves match.

Front

What is the difference between similar and congruent triangles?

Back

Similar triangles have the same shape but not necessarily the same size, while congruent triangles are identical in both shape and size.

Front

What is the ASA Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Congruence Theorem states that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, then the triangles are congruent.

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 triangles are congruent.

Front

What is the SSA condition in triangle congruence?

Back

The SSA (Side-Side-Angle) condition does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

How do you solve for a missing side in similar triangles?

Back

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

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two mirror-image halves.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.