Short Cuts for Congruent Triangles

Mr. Munsen introduces congruent triangles, explaining both detailed and shortcut methods for proving congruence. He covers the side-side-side theorem and other shortcuts, emphasizing their efficiency. The video includes examples and guides on writing congruence statements, concluding with practice problems for students.

What does it mean for two triangles to be congruent?

• They have the same area.

• They are similar in shape.

• They have the same perimeter.

• All corresponding sides and angles are equal.

What must be proven to show that two triangles are congruent using the detailed method?

• Only the angles are equal.

• Only the sides are equal.

• All sides and all angles are equal.

• The triangles have the same area.

Which theorem states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent?

• Side-Angle-Side (SAS) Theorem

• Angle-Angle-Side (AAS) Theorem

• Angle-Side-Angle (ASA) Theorem

• Side-Side-Side (SSS) Theorem

In the SSS Congruence Theorem, what can be concluded if three sides of one triangle match three sides of another triangle?

• The triangles are congruent.

• The triangles are similar.

• The triangles have the same perimeter.

• The triangles have the same area.

Which of the following is NOT a valid shortcut for proving triangle congruence?

• Side-Side-Side (SSS)

• Angle-Angle-Angle (AAA)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

What does the Side-Angle-Side (SAS) Congruence Theorem state?

• Two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle.

• Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

• Three sides of one triangle are equal to three sides of another triangle.

• Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

In the Angle-Side-Angle (ASA) Congruence Theorem, what must be true for two triangles to be congruent?

• Two sides and the included angle are equal.

• Three sides are equal.

• Two angles and a non-included side are equal.

• Two angles and the included side are equal.

What is the correct order for writing a triangle congruence statement?

• Any order as long as the sides are equal.

• Random order for both triangles.

• Alphabetical order for both triangles.

• Alphabetical order for the first triangle and matching corresponding parts for the second triangle.

When given two triangles with vertical angles, what can be immediately concluded?

• The vertical angles are congruent.

• The triangles are similar.

• The sides are congruent.

• The triangles are congruent.

If two triangles are stated as congruent, what can be inferred about their corresponding sides and angles?

• Both corresponding sides and angles are equal.

• They have the same area.

• Only the sides are equal.

• Only the angles are equal.