Which of the following is false for two congruent triangles

Question

Which of the following is false for two congruent triangles

Answer 1

Two triangles can be congruent by SSS, SAS, ASA and RHS. ASA or angle side angle is not applicable to congruency. Hence it is false.

Answer 2

Two triangles can be congruent by SSS, SAS, ASA and RHS. ASA or angle side angle is not applicable to congruency. Hence it is false.

Which of the following is false for two congruent triangles

Corresponding angles are equal

Two sides and included angles are equal.

Corresponding sides are equal.

Two angles and one side are equal.

Answer

Two triangles can be congruent by SSS, SAS, ASA and RHS. ASA or angle side angle is not applicable to congruency. Hence it is false.

Practice important Questions

NTSE Class 10 Maths Chapter 7 to 9

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If for $△$ ABC and $△$ DEF, the correspondence CAB $\leftrightarrow$ EDF gives a congruence, then which of the following is NOT true?

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In $△ P Q R$ and $△ S Q R$ are both isosceles triangle on a common base $Q R$ such that $P$ and $S$ lie on the same side of $Q R$ . Are triangles $P S Q$ and $P S R$ congruent ? Which condition do you use ?

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Which of the following is false for two congruent triangles

Corresponding angles are equal

Two sides and included angles are equal.

Corresponding sides are equal.

Two angles and one side are equal.

Answer

Two triangles can be congruent by SSS, SAS, ASA and RHS. ASA or angle side angle is not applicable to congruency. Hence it is false.

Practice important Questions

NTSE Class 10 Maths Chapter 7 to 9

Related questions

If for △ABC and △DEF, the correspondence CAB ↔ EDF gives a congruence, then which of the following is NOT true?

In the figure BC=2 then DE=____.

ΔXTQ≅ΔXSQ

Prove that the bisectors of the interior angles of a rectangle form a rectangle.

Without drawing the triangles write all size pairs of equal measures in each of the following pairs of congruent triangles. △ABC≅△LMN

M is the center of the circle and lies on RU and ST. Which of the following statements is NOT true with respect to the above figure?

In the given figure, ABCD is a parallelogram. And X and Y are points on the diagonal BD such that DX=BY. Prove that: (i) AXCY is a parallelogram (ii) AX=CY,AY=CX (iii) △AYB≅△CXD (iv) △AXD≅△CYB​

In △PQR and △SQR are both isosceles triangle on a common base QR such that P and S lie on the same side of QR. Are triangles PSQ and PSR congruent ? Which condition do you use ?

∠ADC=∠BCD

Suppose ABC is an isosceles triangle with AB=AC ; BD and CE are bisectors of ∠B and ∠C. Prove that BD=CE

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Take Toppr Scholastic Test for Aptitude and Reasoning

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If for $△$ ABC and $△$ DEF, the correspondence CAB $\leftrightarrow$ EDF gives a congruence, then which of the following is NOT true?

In the figure $B C = 2$ then $D E =$ ____.

$Δ X T Q ≅ Δ X S Q$

Without drawing the triangles write all size pairs of equal measures in each of the following pairs of congruent triangles.
$△ A B C ≅ △ L M N$

M is the center of the circle and lies on $\overline{R U}$ and $\overline{S T}$ . Which of the following statements is NOT true with respect to the above figure?

In the given figure, $A B C D$ is a parallelogram. And $X$ and $Y$ are points on the diagonal $B D$ such that $D X = B Y$ . Prove that:
$(i) AXCY is a parallelogram (ii) A X = C Y, A Y = C X (iii) △ A Y B ≅ △ C X D (iv) △ A X D ≅ △ C Y B$

In $△ P Q R$ and $△ S Q R$ are both isosceles triangle on a common base $Q R$ such that $P$ and $S$ lie on the same side of $Q R$ . Are triangles $P S Q$ and $P S R$ congruent ? Which condition do you use ?

$∠ A D C = ∠ B C D$

Suppose ABC is an isosceles triangle with $A B = A C$ ; BD and CE are bisectors of $∠ B$ and $∠ C$ . Prove that $B D = C E$