Corresponding Parts of Congruent Triangles

Front

What are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are sides and angles that are equal in measure. If two triangles are congruent, then each side and angle of one triangle is equal to the corresponding side and angle of the other triangle.

Front

If ΔPQR ≅ ΔLJK, what can we conclude about the sides PR and JL?

Back

Since the triangles are congruent, PR = JL. Therefore, if PR = 2x + 6 and JL = 10, we can set up the equation 2x + 6 = 10 to find the value of x.

Front

How do you find the measure of an angle in a congruent triangle?

Back

To find the measure of an angle in a congruent triangle, use the fact that corresponding angles are equal. If ∠C = 40°, then the corresponding angle ∠F in the other triangle is also equal to 40°.

Front

What is the relationship between the sides of congruent triangles?

Back

The sides of congruent triangles are equal in length. This means that if two triangles are congruent, each side of one triangle is equal to the corresponding side of the other triangle.

Front

If AC = 34 and AB = 14 - x in ΔABC ≅ ΔMNO, how can we find x?

Back

Since the triangles are congruent, we can set AC equal to the corresponding side in the other triangle. If MO = 3x - 2, we can set up the equation 34 = 3x - 2 and solve for x.

Front

What is the measure of segment PC if it corresponds to segment AB in a congruent triangle?

Back

If segment PC corresponds to segment AB in a congruent triangle, then the length of segment PC is equal to the length of segment AB.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means all corresponding sides and angles are equal.

Front

How can you use a sketch to solve problems involving congruent triangles?

Back

A sketch helps visualize the triangles and their corresponding parts, making it easier to set up equations and understand relationships between sides and angles.

Front

If two angles in one triangle are equal to two angles in another triangle, what can be concluded?

Back

If two angles in one triangle are equal to two angles in another triangle, the triangles are similar, and if the sides are also proportional, they are congruent.

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures, such as triangles, are congruent, meaning they have the same shape and size.