Exploring Adding and Subtracting Rational Expressions

What does it mean for triangles to be congruent?

• They are similar but not identical.

• They have the same size and shape.

• They have the same angles but different sides.

• They have the same color.

What is a congruence statement?

• A formula used to calculate the area of triangles.

• A method to determine the perimeter of a triangle.

• A statement that describes the equality of corresponding parts of triangles.

• A statement that proves triangles are similar.

What does CPCTC stand for?

• Corresponding Points of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

• Congruent Points of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

How can you use a congruence statement to identify congruent sides?

• By comparing their lengths directly.

• By using the order of letters in the statement.

• By measuring the angles only.

• By calculating the area of the triangles.

What is the importance of the order of letters in a congruence statement?

• It shows which sides are parallel.

• It indicates which angles are right angles.

• It helps identify corresponding congruent parts.

• It determines the type of triangle.

If triangle ABC is congruent to triangle DEF, which statement is true about angle A and angle D?

• Angle A is congruent to angle D.

• Angle A is smaller than angle D.

• Angle A is larger than angle D.

• Angle A and angle D are not related.

How do you determine the congruent sides in a numerical problem involving congruent triangles?

• By using congruence statements and given measurements.

• By guessing based on triangle appearance.

• By subtracting the angles.

• By adding the lengths of sides.

What is the next step after identifying congruent angles in a problem?

• Identify congruent sides using the congruence statement.

• Calculate the perimeter.

• Draw a new triangle.

• Guess the remaining angles.

In problems involving algebraic expressions, what is the purpose of setting expressions equal?

• To determine the height of the triangles.

• To guess the possible measurements.

• To calculate the area of the triangles.

• To find the values of variables that satisfy congruence.

What is the result of solving the equation 12x - 7 = 53 for x?

• x = 5

• x = 8

• x = 7

• x = 6