SSS Worksheet

 

Color the line segments below:

 

                                                            Red

 

                                                                                                            Blue

 


                                                           

Yellow

 

 

What must we show in order for two triangles to be congruent?

 

 

What is the length of the red, blue, and yellow?

 

 

Create a triangle using the tree sides given.

 

Do you think there can be two or more triangles made that are not the same (congruent)?

 

Compare with your table.

What do you notice?

 

 

Measure the angles with a protractor.

Compare with your table.

 

Given three sides, can two different triangles be formed?


SAS Worksheet

 

GIVEN:

AB = 8 cm

Angle A = 100 degrees

AC = 4 cm

 

Construct triangle ABC and draw below.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

What is the measure of:

BC

Angle B

Angle C

 

 

 

Given tow sides and the angle between them can two different triangles be formed?

 

What past conjecture (ASA, SSS, AAS) can we use to prove this?


 ASA Worksheet

 

GIVEN

 


Angle A 

 

 


Angle B

 

AB = 7 cm

 

 

 

 

 

Draw the triangle below.

 

 

 

 

 

 

 

 

 

 

 

 

 

Compare with your table.

Have we proven that given two angles and the included side of one triangle and two angles and the included side of the other are congruent, then the two triangles are congruent?

 

 

 

Do you believe this is always true?