If two triangles are congruent, the following statements must be true: their corresponding sides are equal in length, and their corresponding angles are equal in measure. Additionally, the triangles can be superimposed on each other, meaning they occupy the same space when aligned. This congruence indicates that all geometric properties of the triangles are identical.
If triangles ABC and DEF are congruent (ABC ≅ DEF), then corresponding parts of the triangles are congruent by the principle of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). This means that segments AB ≅ DE, BC ≅ EF, and AC ≅ DF, as well as angles ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F. All these congruences must be true if the triangles are indeed congruent.
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In a square WXYZ, the following statements must be true: all sides are equal in length, each angle measures 90 degrees, and the diagonals bisect each other at right angles and are equal in length. Additionally, the diagonals also divide the square into two congruent triangles.
To prove two triangles congruent by the Hypotenuse-Leg (HL) theorem, you need to know that both triangles are right triangles. Additionally, you must establish that the lengths of their hypotenuses are equal and that one pair of corresponding legs is also equal in length. With this information, you can confidently apply the HL theorem to conclude that the triangles are congruent.
Angle J is congruent to angle K line KL is parellel to line Jm
If triangles ABC and DEF are congruent (ABC ≅ DEF), then corresponding parts of the triangles are congruent by the principle of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). This means that segments AB ≅ DE, BC ≅ EF, and AC ≅ DF, as well as angles ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F. All these congruences must be true if the triangles are indeed congruent.
hihi
If you don't tell us what the statements are, we can't tell you which ones could be false. The ones that could be false are the ones that state something that doesn't apply to congruent triangles.
In a square WXYZ, the following statements must be true: all sides are equal in length, each angle measures 90 degrees, and the diagonals bisect each other at right angles and are equal in length. Additionally, the diagonals also divide the square into two congruent triangles.
No, it is not correct.If lmn is congruent to ops thenlm is congruent to op,mn is congruent to ps andnl is congruent to so.And similarly with the corresponding angles of the two triangles.Unless the two triangles are equilateral, these relationships will NOT apply if the order of one of the triangles is altered.
To prove two triangles congruent by the Hypotenuse-Leg (HL) theorem, you need to know that both triangles are right triangles. Additionally, you must establish that the lengths of their hypotenuses are equal and that one pair of corresponding legs is also equal in length. With this information, you can confidently apply the HL theorem to conclude that the triangles are congruent.
If WXYZ is a square, which statements must be true? Check all that apply: ANSWERS (apex): angle W is supplementary to angle Y. angle W is congruent to angle Y. angle W is a right angle. WXYZ is a parallelogram WX ≅ XY
Yes. But only right triangles.
Angle J is congruent to angle K line KL is parellel to line Jm
I am sorry but we can't answer because we don't know the statements you were given.
if you want to apply acute triangles in real life, you have to ask someone i dont know
To conclude that triangles ΔACE and ΔBCD are congruent (ΔACE ≅ ΔBCD), you can use the Side-Angle-Side (SAS) congruence theorem. If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the triangles are congruent. If you have sufficient information about the lengths of AC and BC, and the angles ∠ACE and ∠BCD, you can apply this theorem to establish congruence.