Triangle Congruency Concepts

The video tutorial covers the properties of triangles, focusing on congruency. It explains the concept of congruency, the symbol used to represent it, and the conditions required to prove congruency, such as SSS, SAS, and ASA. The tutorial includes three examples demonstrating how to prove congruency using these conditions. The lesson concludes with a brief mention of similar triangles, which will be covered in the next lesson.

What does the symbol for congruency look like?

• A tilde over an equal sign

• A circle with a line through it

• A square with a diagonal line

• A triangle with a dot inside

What does it mean for two triangles to be congruent?

• They have the same shape but different sizes

• They have the same size but different shapes

• They have different shapes and sizes

• They have the same shape and size

Which of the following is NOT a condition for triangle congruency?

• SSS

• SAS

• ASA

• AAA

What does SSS congruency mean?

• Three pairs of corresponding sides are equal

• Two pairs of angles and one side are equal

• Two pairs of sides and one angle are equal

• Three pairs of corresponding angles are equal

In SAS congruency, what does the 'A' stand for?

• Area

• Angle

• Arc

• Altitude

What is the significance of the order in naming triangles for congruency proofs?

• It is used to calculate the area of the triangle

• It determines the size of the triangle

• It helps in identifying the type of triangle

• It ensures the corresponding parts are correctly matched

In the example of proving congruency using SSS, what is the shared side between the triangles?

• AB

• BC

• AC

• CD

What theorem is used to prove angles are equal when two lines intersect?

• Alternate Interior Angle Theorem

• Corresponding Angle Theorem

• Opposite Angle Theorem

• Parallel Line Theorem

In the table format example, what is the reason for AC being equal to CA?

• They are parallel lines

• They are opposite angles

• They share a common side

• They are corresponding angles