Exploring Congruent Figures and Their Corresponding Parts

This video tutorial covers the concept of congruent figures, focusing on congruent angles and sides. It explains how to identify congruent parts using visual cues like arcs and tick marks. The tutorial includes examples of writing congruent statements for triangles and solving for variables using congruent properties. Theorems related to congruent triangles are also discussed, followed by practice problems for reinforcement.

What does it mean for two geometric figures to be congruent?

• They have the same size but different shapes.

• They have the same shape but different sizes.

• They have exactly the same size and shape.

• They have different sizes and shapes.

Which of the following is true about corresponding angles in congruent figures?

• They are in different positions but are congruent.

• They are always right angles.

• They are always acute angles.

• They are in corresponding positions and are congruent.

In the given image, which angles are congruent if they have two arcs?

• Yellow angles

• Blue angles

• Green angles

• Red angles

When writing a congruent statement for triangles, what should you follow?

• The order of the longest sides

• Alphabetical order

• A random order

• A pattern based on corresponding parts

If triangle ABC is congruent to triangle PQR, which angle corresponds to angle B?

• Angle P

• Angle Q

• Angle A

• Angle R

Which line segment is congruent to line segment CA in triangle ABC?

• Line segment AB

• Line segment PQ

• Line segment QR

• Line segment RP

In the diagram, if DEFG is congruent to KLMN, which line segment corresponds to MN?

• FG

• DE

• KL

• EF

If 5x + 2 = 12 for line segment MN, what is the value of x?

• 4

• 3

• 2

• 1

Which property states that every triangle is congruent to itself?

• Reflexive Property

• Associative Property

• Transitive Property

• Symmetric Property

According to the transitive property, if triangle ABC is congruent to triangle DEF and triangle DEF is congruent to triangle JKL, what can be concluded?

• Triangle ABC is not congruent to triangle JKL

• Triangle ABC is congruent to triangle DEF only

• Triangle DEF is not congruent to triangle JKL

• Triangle ABC is congruent to triangle JKL