Identifying Corresponding Parts in Congruent Figures

Mr. Pilarsky introduces congruent figures, focusing on congruent polygons and their corresponding parts. He explains how to identify congruent sides and angles, using examples of quadrilaterals and triangles. The video covers the importance of matching vertices in congruence statements and demonstrates how to calculate angle measures using the polygon angle sum theorem. The lesson concludes with examples of determining and justifying triangle congruence.

What is the definition of congruent figures?

• Figures with the same shape but different sizes

• Figures with different shapes and sizes

• Figures with the same size but different shapes

• Figures with the same shape and size

In congruent polygons, what must be true about corresponding sides?

• They must be parallel

• They must be congruent

• They must be perpendicular

• They must be equal in length

Which vertices correspond in quadrilateral ABCD and WXYZ?

• C corresponds to Y

• B corresponds to Z

• A corresponds to W

• D corresponds to X

When naming congruent polygons, what must match in the congruent statement?

• The order of the diagonals

• The order of the vertices

• The order of the angles

• The order of the sides

If triangle ABC is congruent to triangle XYZ, which angle corresponds to angle B?

• Angle Z

• Angle Y

• Angle A

• Angle X

What is the sum of the interior angles of a five-sided polygon?

• 360 degrees

• 540 degrees

• 720 degrees

• 900 degrees

How do you find the measure of an angle in a polygon using the polygon angle sum theorem?

• Add 2 to the number of sides and multiply by 180

• Divide the number of sides by 180

• Subtract 2 from the number of sides and multiply by 180

• Multiply the number of sides by 180

What is the measure of angle W if polygon ABCD is congruent to polygon VWXYZ and angle B is 140 degrees?

• 90 degrees

• 120 degrees

• 140 degrees

• 160 degrees

Which theorem states that vertical angles are congruent?

• Corresponding Angle Theorem

• Vertical Angle Theorem

• Same-Side Interior Angle Theorem

• Alternate Interior Angle Theorem

If two triangles have three pairs of corresponding angles congruent but not necessarily corresponding sides, are they congruent?

• No, not necessarily

• Yes, if the angles are right angles

• Yes, always

• No, never