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With the given information prove that triangle XYZ is congruent to triangle LMN?
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With the given information prove that triangle XYZ is congruent to tri...
Given information:
- Triangle XYZ and triangle LMN
To prove:
Triangle XYZ is congruent to triangle LMN
Proof:
Definition of congruent triangles:
Two triangles are said to be congruent if all corresponding sides and angles are equal.
Corresponding sides:
Corresponding sides are the sides that are in the same position in two different triangles.
Corresponding angles:
Corresponding angles are the angles that are in the same position in two different triangles.
Given information:
Triangle XYZ and triangle LMN
To prove:
Triangle XYZ is congruent to triangle LMN
Proof:
Corresponding sides:
To prove that triangle XYZ is congruent to triangle LMN, we need to show that all corresponding sides are equal.
- Side XY is equal to side LM (given)
- Side YZ is equal to side MN (given)
- Side XZ is equal to side LN (given)
Corresponding angles:
To prove that triangle XYZ is congruent to triangle LMN, we need to show that all corresponding angles are equal.
- Angle XYZ is equal to angle LMN (given)
- Angle YXZ is equal to angle MLN (given)
- Angle ZXY is equal to angle LNM (given)
Conclusion:
From the given information and the proofs above, we can conclude that all corresponding sides and angles of triangle XYZ are equal to triangle LMN. Therefore, triangle XYZ is congruent to triangle LMN.
- Triangle XYZ and triangle LMN
To prove:
Triangle XYZ is congruent to triangle LMN
Proof:
Definition of congruent triangles:
Two triangles are said to be congruent if all corresponding sides and angles are equal.
Corresponding sides:
Corresponding sides are the sides that are in the same position in two different triangles.
Corresponding angles:
Corresponding angles are the angles that are in the same position in two different triangles.
Given information:
Triangle XYZ and triangle LMN
To prove:
Triangle XYZ is congruent to triangle LMN
Proof:
Corresponding sides:
To prove that triangle XYZ is congruent to triangle LMN, we need to show that all corresponding sides are equal.
- Side XY is equal to side LM (given)
- Side YZ is equal to side MN (given)
- Side XZ is equal to side LN (given)
Corresponding angles:
To prove that triangle XYZ is congruent to triangle LMN, we need to show that all corresponding angles are equal.
- Angle XYZ is equal to angle LMN (given)
- Angle YXZ is equal to angle MLN (given)
- Angle ZXY is equal to angle LNM (given)
Conclusion:
From the given information and the proofs above, we can conclude that all corresponding sides and angles of triangle XYZ are equal to triangle LMN. Therefore, triangle XYZ is congruent to triangle LMN.
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With the given information prove that triangle XYZ is congruent to tri...
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With the given information prove that triangle XYZ is congruent to triangle LMN?
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With the given information prove that triangle XYZ is congruent to triangle LMN? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about With the given information prove that triangle XYZ is congruent to triangle LMN? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for With the given information prove that triangle XYZ is congruent to triangle LMN?.
With the given information prove that triangle XYZ is congruent to triangle LMN? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about With the given information prove that triangle XYZ is congruent to triangle LMN? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for With the given information prove that triangle XYZ is congruent to triangle LMN?.
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