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How can angles be labeled to avoid confusion?
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Angles can be labeled using direct angle notation, three-point notation, or prime notation.
What is an example of direct angle notation for congruence?
∠J ≅ ∠H
What example is given for comparing side lengths after breaking up triangles?
GK ≅ KG
Provide an example of side length congruence notation.
JJG ≅ HK
Give an example of using three-point notation for congruent angles.
∠JKG ≅ ∠HKG
Why is redrawing triangles recommended?
Redrawing triangles helps to better visualize and identify congruent sides and angles.
What is the benefit of breaking up triangles rather than stacking them?
Breaking up triangles helps to visualize congruent angles and sides more clearly.
Why should you use multiple angle notations during problems?
Using multiple angle notations helps avoid confusion and ensures accuracy in identifying congruent angles.
How is prime notation used for angles in congruence?
Prime notation is used to denote a congruent angle with a prime symbol, such as ∠G' ≅ ∠K'.
State an angle congruence example given in prime notation.
∠G' ≅ ∠K'
When comparing side lengths for congruence, why is it important to break up triangles?
Breaking up triangles helps in clearly identifying and comparing corresponding side lengths.
Give an example showing the importance of correct identification of corresponding angles and sides.
ΔGJK is not congruent to ΔGHK unless corresponding angles and sides match correctly.
What is a common mistake when labeling triangles and angles?
A common mistake is incorrectly identifying corresponding angles and sides, leading to errors in determining congruence.
What congruence statement can be made for triangles if all corresponding angles and sides are congruent?
ΔGJK ≅ ΔKHG
What should be compared to determine congruence of side lengths?
Corresponding side lengths of the triangles need to be compared.
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