unit 4 (congruence) Prep

Front

What does it mean when we say ∆ABC≅∆XYZ?

Back

It means that triangle ABC is congruent to triangle XYZ, indicating that their corresponding sides and angles are equal.

Front

If ΔDEF ≅ ΔRST, what can we conclude about the lengths of DE and RS?

Back

DE = RS, as corresponding sides of congruent triangles are equal.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

How do you determine if two triangles are congruent?

Back

You can use criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the result of rotating a triangle 90° counter-clockwise about the origin?

Back

The coordinates of each point of the triangle will change according to the rotation transformation rules.

Front

If ∠F = ∠G in a congruency statement, what does this imply?

Back

It implies that angle F is congruent to angle G, meaning they have the same measure.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which is essential for proving triangle congruence.

Front

What does the notation AB≅XY indicate?

Back

It indicates that segment AB is congruent to segment XY, meaning they have the same length.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.