Exploring Congruent Figures

What does it mean for two figures to be congruent?

• They have the same number of sides.

• They have the same perimeter.

• They have the same shape and size.

• They have the same area.

Which angles are congruent if triangle ABC is congruent to triangle JKL?

• Angle A and Angle K

• Angle B and Angle J

• Angle C and Angle L

• Angle A and Angle J

In a congruence statement, why is the order of vertices important?

• It changes the shape of the triangles.

• It determines the size of the triangles.

• It ensures corresponding angles and sides are matched correctly.

• It affects the area of the triangles.

If triangle WRD is congruent to triangle PLK, which segment corresponds to WR?

• Segment LK

• Segment PR

• Segment PL

• Segment PK

Given triangle PMC is congruent to triangle LDX, which angle corresponds to angle M?

• Angle P

• Angle X

• Angle D

• Angle L

In the statement triangle RKHK is congruent to triangle WVO, what is the correct order for triangle KRH?

• Triangle WVO

• Triangle OWR

• Triangle OWV

• Triangle WOV

If segment MK is congruent to segment JE, what can be said about their lengths?

• MK and JE have different lengths

• MK and JE have the same length

• MK is shorter than JE

• MK is longer than JE

If angle M is 85 degrees, what is the measure of angle J if they are congruent?

• 75 degrees

• 95 degrees

• 85 degrees

• 90 degrees

According to the Third Angles Theorem, if two angles of one triangle are congruent to two angles of another triangle, what can be said about the third angles?

• They are complementary.

• They are supplementary.

• They are congruent.

• They are not related.

If angle A is 30 degrees and angle B is 100 degrees in one triangle, what is the measure of the third angle?

• 50 degrees

• 60 degrees

• 70 degrees

• 80 degrees