Congruence and Transformations in Geometry

The video tutorial explains the concept of congruent figures, focusing on congruent polygons and their corresponding parts. It provides examples of congruent quadrilaterals and guides viewers through problem-solving exercises to identify congruent parts. The tutorial concludes with an exercise on congruent triangles, reinforcing the understanding of congruence in geometry.

What transformation can be used to show that two figures are congruent?

• Shearing

• Sliding

• Scaling

• Dilation

What is the key concept of congruent figures?

• They have the same size but different shapes

• They have different sizes and shapes

• They have the same size and shape

• They have different sizes but the same shape

Which of the following is NOT a transformation that can prove congruence?

• Sliding

• Flipping

• Scaling

• Rotating

What are the corresponding parts in congruent polygons?

• Matching sides and angles

• Equal areas

• Identical perimeters

• Same number of vertices

What must be true for polygons to be considered congruent?

• They must have the same number of sides

• Their corresponding parts must be congruent

• They must have the same area

• They must have the same perimeter

When naming congruent polygons, what must be listed in the same order?

• Corresponding sides

• Corresponding diagonals

• Corresponding vertices

• Corresponding angles

In the example of quadrilaterals ABCD and EFGH, which vertex corresponds to vertex C?

• E

• H

• F

• G

In the example, which vertex of quadrilateral EFGH corresponds to vertex A of quadrilateral ABCD?

• H

• G

• F

• E

Which side of quadrilateral HIJK is congruent to side LM?

• HI

• KH

• IJ

• JK

Which side of quadrilateral HIJK is congruent to side NO?

• KH

• JK

• HI

• IJ