Triangle Congruence

Posljednje ažuriranje over 4 years ago

Learning Targets:

✳ I can use and describe rigid motions to decide if two figures are congruent (MGSE9-12.G.CO.6)

✳ I can use the definition of congruence to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. (MGSE9-12.G.CO.7)

✳ I can explain how the criteria for triangle congruence (SSS, SAS, ASA, AAS, and HL) follow from the definition of congruence in terms of rigid motions. (MGSE9-12.G.CO.8)

Rigid Motion Review

Two figures are congruent if and only if one can be obtained from the other by a sequence of _ ____.

Triangle Congruence Theorems

Determine if the two triangles are congruent. If they are, state how you know.

Triangle Congruence

Posljednje ažuriranje over 4 years ago

Learning Targets:

✳ I can use and describe rigid motions to decide if two figures are congruent (MGSE9-12.G.CO.6)

✳ I can use the definition of congruence to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. (MGSE9-12.G.CO.7)

✳ I can explain how the criteria for triangle congruence (SSS, SAS, ASA, AAS, and HL) follow from the definition of congruence in terms of rigid motions. (MGSE9-12.G.CO.8)

Rigid Motion Review

Two figures are congruent if and only if one can be obtained from the other by a sequence of _ ____.

no, a dilation has occurred

yes, a translation has occurred

yes, a reflection has occurred

yes, a rotation has occurred

Select all transformations that are RIGID MOTIONS.

translation

dilation

reflection

rotation

Are the triangles congruent?
Put the RIGID MOTIONS argument in the correct order.

A reflection is a rigid motion.
Therefore, △ABC ≅ △RGD.
A reflection will map △ABC onto △RGD.

Triangle Congruence Theorems

Determine if the two triangles are congruent. If they are, state how you know.

Triangle Congruence

Learning Targets:

Rigid Motion Review

Two figures are congruent if and only if one can be obtained from the other by a sequence of ___________ ______________.

Triangle Congruence Theorems

Triangle Congruence

Learning Targets:

Rigid Motion Review

Two figures are congruent if and only if one can be obtained from the other by a sequence of ___________ ______________.

Select all transformations that are RIGID MOTIONS.

Are the triangles congruent?Put the RIGID MOTIONS argument in the correct order.

Triangle Congruence Theorems

Select all transformations that are RIGID MOTIONS.

Are the triangles congruent?Put the RIGID MOTIONS argument in the correct order.

Two figures are congruent if and only if one can be obtained from the other by a sequence of _ ____.

Two figures are congruent if and only if one can be obtained from the other by a sequence of _ ____.

Are the triangles congruent?
Put the RIGID MOTIONS argument in the correct order.

Are the triangles congruent?
Put the RIGID MOTIONS argument in the correct order.