Identifying Congruent Figures and Their Properties

The video tutorial introduces the concept of congruent figures, focusing on identifying corresponding angles and sides. It explains that congruent figures have the same shape and size, regardless of orientation. The lesson includes examples with circles, trapezoids, hearts, and cubes, and emphasizes that congruent triangles have corresponding sides and angles. A formal definition of congruency is provided, along with the mathematical symbol. The tutorial concludes with practice problems on identifying congruent shapes and calculating the perimeter of congruent parallelograms.

What is the definition of congruent figures?

• Figures that have different shapes and sizes

• Figures that have the same shape and size

• Figures that have the same size but different shapes

• Figures that have the same shape but different sizes

Tags

CCSS.8.G.A.2

Which of the following is true about congruent angles?

• They have the same measure

• They have the same length

• They have different measures

• They have different shapes

Tags

CCSS.8.G.A.2

Why are the two circles in the example not congruent?

• They have different shapes

• They have different sizes

• They have different colors

• They have different orientations

Tags

CCSS.8.G.A.2

What makes the two trapezoids congruent?

• They have different shapes

• They have different sizes

• They have the same shape and size

• They have different orientations

Tags

CCSS.8.G.A.2

How can you identify corresponding sides in congruent triangles?

• By their position and tally marks

• By their angles

• By their length

• By their color

Tags

CCSS.8.G.A.2

What do the tally marks on the sides of triangles indicate?

• The congruency of the sides

• The measure of the angles

• The length of the sides

• The color of the sides

Tags

CCSS.8.G.A.2

Why can't congruency be determined by angles alone?

• Because angles can be the same in different-sized triangles

• Because angles do not affect size

• Because angles are not important

• Because angles can be different

Tags

CCSS.8.G.A.2

What is the symbol for congruency in geometry?

• An equal sign

• A squiggle

• A triangle

• An equal sign with a squiggle on top

Tags

CCSS.8.G.A.2

Which two squares are congruent in the example?

• Square X and Square Y

• Square Y and Square Z

• Square X and Square Z

• None of the squares

Tags

CCSS.8.G.A.2

What is the perimeter of parallelogram WXYZ if it is congruent to another parallelogram with sides 13 inches and 28 inches?

• 54 inches

• 82 inches

• 56 inches

• 41 inches

Tags

CCSS.3.MD.D.8