Which Congruence Theorems Can Be Used To Prove â–â³abr ≅ â–â³acr? Check All That Apply.
Name:_____________________ Date:__________
Triangle Congruence Theorems
Illuminations Simulation Activity at:
Exercise 1:
If all three sides of one triangle have the same measure as the three sides of another triangle, are the two triangles congruent?
First choose 3 sides (click the boxes for sides AB, BC and AC)
Match up vertices (pair the "B" from one segment to the "B" from another segment").
Once the vertices snap together, grab the end of a line segment and rotate it around.
Snap together all three segments until they form a triangle.
Three
more segments will appear.
These line segments all have the exact same length as the three you started with.
Snap these three together to form a triangle.
Once you have two triangles, you can place them on top of each other- you can rotate the triangles until they match. You can
also flip them over with the "flip" button.
Decide if the two triangles are congruent.
Answer the question at the bottom of the screen.
Try making one more triangle with the three segments. Try to make this one different from the first two.
Answer this question:
Is it possible to make 2
non-identical
triangles if all the side lengths have the same measure?
Exercise 2:
If all three angles of one triangle have the same measure as the three angles of another triangle, are the two triangles congruent?
Choose 3 angles.
Rotate them until they snap into a triangle
Try it again with three of the same angle measures (they'll automatically pop up)
Answer the question at the bottom of the screen.
Answer this question:
Is it possible to make 2
non-identical
triangles if all the angles have the same measure?
Answer this question:
Should there be an AAA postulate?
SSS Postulate (
Side-Side-Side)
Complete this sentence:
If all three sides of one triangle have the same measure as the three sides of another triangle then:_________________________________________________
Exercise 3:
If two angles and the side in between them for one triangle have the same measure as two angles and the side in between them of the other triangle, are the triangles congruent?
Click side "AB", angle "A" and angle "B"
Rotate the angles and match their vertices to the ends of the line segment until they all snap into a triangle
Do it again. Move the two triangles on top of each other and rotate or flip one of them to see if the triangles are congruent
Answer the questions at the bottom of the screen
Try it again.
Answer this question:
Is it possible to make 2
non-identical
triangles if their measurements for two angles and the side in between have the same measure?
Exercise 4:
If two angles and a side of one triangle have the same measure as two angles and a side of the other triangle, are the triangles congruent?
Click side "AB", angle "A" and angle "C"
Rotate angle A and match its vertex to the end of the line segment. Then try to place angle C so that it creates a triangle with the other two parts.
Do it again. Move the two triangles on top of each other and rotate or flip one of them to see if the triangles are congruent
Answer the questions at the bottom of the screen
Try it again.
Answer this question:
Is it possible to make 2
non-identical
triangles if their measurements for two angles and a side have the same measure?
ASA Postulate (
Angle-Side-Angle)
Complete this sentence:
If two angles and the side in between them for one triangle have the same measure as two angles and the side in between them of the other triangle then:___________________________________________________________________________
AAS Postulate (
Angle
–
Angle-Side)
Complete this sentence:
If two angles and a side for one triangle have the same measure as two angles and a side of the other triangle then: ___________________________________________________________________________
Which Congruence Theorems Can Be Used To Prove ââ€"â³abr ≅ ââ€"â³acr? Check All That Apply.
Source: https://id.scribd.com/doc/234025378/Triangle-Congruence-Illuminations-Activity
Posted by: bartlettarture.blogspot.com
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