Finding Missing Measures in Triangles

This video tutorial teaches how to find missing measures in triangles using congruence and similarity criteria. It covers congruence criteria like side-side-side, side-angle-side, and angle-side-angle, as well as similarity criteria such as angle-angle, side-side-side, and side-angle-side. The video clarifies the misconception that congruent figures are not similar and provides examples of solving for missing sides and angles using these criteria.

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

• Side-Side-Side

• Angle-Side-Angle

• Angle-Angle

• Side-Angle-Side

What is the angle-angle similarity postulate?

• Two triangles are similar if all angles are congruent.

• Two triangles are similar if all three sides are proportional.

• Two triangles are similar if two angles of one are congruent to two angles of another.

• Two triangles are similar if two sides and the included angle are proportional.

How can you determine if two triangles are congruent using the side-angle-side criterion?

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

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

• All three sides of one triangle are congruent to all three sides of another triangle.

• Two angles of one triangle are congruent to two angles of another triangle.

If two triangles have two corresponding angles congruent, what can be said about the triangles?

• They are neither congruent nor similar.

• They are similar.

• They are congruent.

• They are identical.

What is the result of setting up a proportion of corresponding sides in similar triangles?

• The triangles are identical.

• The angles are congruent.

• The triangles are congruent.

• The sides are proportional.

How do you find a missing side in similar triangles using side-side-side similarity?

• By checking if two sides and the included angle are proportional.

• By ensuring all angles are congruent.

• By setting up a proportion of corresponding sides.

• By comparing the perimeters of the triangles.

What is the measure of the missing angle in similar triangles if the corresponding angle in the larger triangle is 88 degrees?

• 88 degrees

• 90 degrees

• 45 degrees

• 60 degrees