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The triangles have the same side lengths.

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Q: What conditions will ensure that two isosceles triangles are congruent?
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How are congruent triangles used in real life?

Congruent triangles are used in real life in various fields such as architecture, engineering, and design. In architecture, congruent triangles are used to ensure stability and balance in structures. In engineering, they are used to calculate forces and angles in different structures. In design, congruent triangles are used to create symmetrical and aesthetically pleasing patterns. Overall, understanding congruent triangles is crucial for ensuring accuracy and precision in real-life applications.


How do you draw two triangles that are not congruent but have one common angle and two common sides?

Ensure the common angle is not between the two common sides and is not a right angle. That is, if the triangles are ABC and DEF then make angle CAB = FDE; and sides AB = DE and BC = EF (make AB > BC and thus DE > EF) Then you will be able to draw two non-congruent triangles by making AC not equal to DF. (If you make AC less than BC, then DF will be greater than DE).


What else would need to be congruent to show that efg is congruent to hij by sss?

Ah, what a lovely question! To show that triangles EFG and HIJ are congruent by Side-Side-Side (SSS), we would need to ensure that all three pairs of corresponding sides are equal in length. Additionally, the corresponding angles would also need to be congruent to fully demonstrate the congruence between the two triangles. Just remember to take your time, be gentle with yourself, and enjoy the process of exploring geometry.


What ensures that the new angle will be congruent to the original angle?

There are many different things that can ensure it.


IN the construction of copying an angle how does step 5 ensure that the new angle will be congruent to the original angle?

The answer depends on how you number the steps: there is no universally agreed system.


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