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Congruent Triangles Review

Autor:Sarah Lapp, mangat
  • Are there any shortcuts of proving triangles congruent?
  • What corresponding triangle parts need to be congruent in order to show that two triangles are congruent? These applets will allow you to explore whether triangle relationships (SSS, AAA, SAS, HL, SSA, ASA, AAS) force triangles to be congruent or not.

Side-Side-Side triangles (SSS)

If three sides of one triangle are congruent to three sides of second triangle, are the triangles congruent?

Question

Use the exploration from the above applet to write if the triangles are congruent in SSS case. If they are, write a congruence statement.

Is there any way you could make a triangle using these three sides that is NOT congruent to the original triangle?

Angle- Angle- Angle (AAA)

If three angles of one triangle are congruent to three angles of another triangles, then are the triangles congruent?

Question

Use the exploration from the above applet to write if the triangles are congruent in AAA case. If they are not congruent, then in what case will they be congruent?

Is there any way you could make a triangle using these sides/angles that is NOT congruent to the original triangle?

Side-Angle-Side (SAS)

If two sides and included angle of one triangle are congruent to two sides and included angle of other triangle, then are the triangles congruent?

SAS triangle Congruence

Question

Use the exploration from the above applet to write if the triangles are congruent in SAS case. If they are, write a congruence statement.

Is there any way you could make a triangle using these sides/angles that is NOT congruent to the original triangle?

Hypotenuse-Leg (HL)

If hypotenuse and a leg of one triangle are congruent to hypotenuse and leg of second triangle, are the triangles congruent?

HL congruence

Question

Use the exploration from the above applet to write if the triangles are congruent in HL case. If they are, write a congruence statement.

Is there any way you could make a triangle using these sides/angles that is NOT congruent to the original triangle?

Side-Side-Angle (SSA)

If two sides and non included angle of one triangle are congruent to two sides and a non included angle of another triangle, are the triangles congruent?

Question

Use the exploration from the above applet to write if the triangles are congruent in SSA case. If they are, write a congruence statement.

Is there any way you could make a triangle using these sides/angles that is NOT congruent to the original triangle?

Angle- Side- Angle (ASA)

If two angles and included side of one triangle are congruent to two angles and included side of another triangle, then are the triangles congruent?

ASA

Question

Use the exploration from the above applet to write if the triangles are congruent in ASA case. If they are, write a congruence statement.

Is there any way you could make a triangle using these sides/angles that is NOT congruent to the original triangle?

Angle-Angle-Side (AAS)

If two angles and non included side of one triangle are congruent to two angles and non included side of another triangle, then are the triangles congruent?

AAS congruence

Question

Use the exploration from the above applet to write if the triangles are congruent in AAS case. If they are, write a congruence statement.

Is there any way you could make a triangle using these sides/angles that is NOT congruent to the original triangle?

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