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.

Tags

CCSS.HSG.CO.B.7

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

Tags

CCSS.8.G.A.2

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.

Tags

CCSS.HSG.CO.B.7

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

• Segment LK

• Segment PR

• Segment PL

• Segment PK

Tags

CCSS.HSG.CO.B.7

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

• Angle P

• Angle X

• Angle D

• Angle L

Tags

CCSS.HSG.CO.B.7

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

Tags

CCSS.8.G.A.2

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

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.CO.B.7

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.

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5