Exploring Congruent Triangle Rules

This video tutorial explains how to determine if two triangles are congruent, meaning they have the same shape and size but may differ in orientation. It covers four rules for proving congruence: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Angle-Side (AAS), and Right Angle Hypotenuse Side (RHS). Each rule is explained with examples, highlighting the conditions under which triangles are considered congruent. The video concludes with a mention of additional resources for further practice.

What does it mean for two triangles to be congruent?

• They have different shapes and sizes.

• They have the same shape but different sizes.

• They have the same size but different shapes.

• They have the same shape and size.

Tags

CCSS.8.G.A.2

Which of the following is NOT a characteristic of congruent triangles?

• They can be rotated versions of each other.

• They can be reflected versions of each other.

• They have the same shape and size.

• They must have the same orientation.

Tags

CCSS.8.G.A.2

What does the SSS rule stand for?

• Side-Angle-Angle

• Side-Side-Angle

• Side-Side-Side

• Side-Angle-Side

Tags

CCSS.HSG.SRT.B.5

According to the SSS rule, what must be true for two triangles to be congruent?

• All three sides of both triangles must be the same length.

• All three angles of both triangles must be the same size.

• Two sides and the included angle must be the same.

• Two angles and the included side must be the same.

Tags

CCSS.HSG.SRT.B.5

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

• Angle

• Altitude

• Area

• Arc

Tags

CCSS.HSG.SRT.B.5

For the SAS rule to apply, where must the angle be located?

• Between the two sides of different lengths.

• Between the two sides of the same length.

• At the base of the triangle.

• At the vertex opposite the longest side.

Tags

CCSS.HSG.SRT.B.5

What does the AAS rule stand for?

• Angle-Angle-Similar

• Angle-Angle-Same

• Angle-Angle-Square

• Angle-Angle-Side

Tags

CCSS.HSG.SRT.B.5

In the AAS rule, what is important about the side in relation to the angles?

• The side must be adjacent to one of the angles.

• The side must be opposite one of the angles.

• The side must be the longest side of the triangle.

• The side must be in the same place relative to the angles.

Tags

CCSS.HSG.SRT.B.5

What does the RHS rule stand for?

• Right angle-Hypotenuse-Same

• Right angle-Hypotenuse-Side

• Right angle-Hypotenuse-Similar

• Right angle-Hypotenuse-Square

For the RHS rule to apply, what must be true about the triangles?

• They must be isosceles triangles.

• They must be equilateral triangles.

• They must be scalene triangles.

• They must be right-angled triangles.

Tags

CCSS.HSG.CO.C.9