Finding Missing Angles and Sides in Congruent Figures

What does it mean for two triangles to be congruent?

• All their corresponding sides and angles are equal.

• They are similar in shape but not necessarily in size.

• They have the same area.

• They have the same perimeter.

Which of the following is used to notate corresponding sides in congruent triangles?

• Tick marks

• Arcs

• Dots

• Lines

In the given problem, what is the measure of angle E?

• 15 degrees

• 91 degrees

• 47 degrees

• 42 degrees

Why should you not trust your eyes in geometry?

• Because sides can appear unequal.

• Because angles can look different.

• Because mathematical verification is necessary.

• Because shapes can be misleading.

What is the first step in solving the complex problem to find the measure of angle E?

• Identify the given angles.

• Identify the missing side.

• Identify the given sides.

• Identify the missing angle.

In the easier problem, what does angle D correspond to?

• Angle A

• Angle B

• Angle C

• Angle F

How can you find the measure of angle D in the easier problem?

• By using the congruence statement.

• By measuring it directly.

• By using a protractor.

• By guessing based on the shape.

What is the length of side FE in the final problem?

• 9 centimeters

• 11 centimeters

• 15 centimeters

• 8 centimeters

What should you use to find the length of side FE?

• The given triangle diagram.

• The congruence statement.

• A calculator.

• A ruler.

What is the key takeaway from the lesson?

• Congruent triangles have different corresponding parts.

• Always trust your eyes in geometry.

• Using congruence statements can simplify finding missing parts.

• Congruent triangles are always identical.