Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

In the above figures,
∠A = ∠P,
∠B = ∠Q and ∠C = ∠R
AB = PQ and BC = PR
But,
AC ≠ QR
Therefore, 5 parts of the triangles are equal but still the triangles are not congruent.
- Related Articles
- In a squared sheet, draw two triangles of equal areas such that$(i)$. the triangles are congruent.$(ii)$. the triangles are not congruent.What can you say about their perimeters?
- If the areas of two similar triangles are equal, prove that they are congruent.
- Prove that a diagonal of a Parallelogram divides it into two congruent triangles.
- Prove that if two angles and one side of a triangle are equal to two angles and one side of another triangle. The triangles are congruent. Also check if the given pair of triangles are congruent?"\n
- Choose the correct answer from the given four options:In triangles \( \mathrm{ABC} \) and \( \mathrm{DEF}, \angle \mathrm{B}=\angle \mathrm{E}, \angle \mathrm{F}=\angle \mathrm{C} \) and \( \mathrm{AB}=3 \mathrm{DE} \). Then, the two triangles are(A) congruent but not similar(B) similar but not congruent(C) neither congruent nor similar(D) congruent as well as similar
- In the figure, the two triangles are congruent. The corresponding parts are marked. We can write $∆RAT≅?$"
- In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other. Prove that the triangles are congruent.
- Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
- If $∆ABC ≅ ∆FED$ under the correspondence $ABC\Leftrightarrow FED$, write all the corresponding congruent parts of the triangles.
- Prove that, in a parallelogram1)opposite sides are equal 2) opposite angles are equal 3) Each diagonal will divide the parallelogram into two congruent triangles
- Draw a rough diagram of two angles such that they have One point in commonTwo points in commonOne ray in common
- Draw a rough sketch of a quadrilateral KLMN. State,(a) two pairs of opposite sides,(b) two pairs of opposite angles,(c) two pairs of adjacent sides,(d) two pairs of adjacent angles.
- Two line segments are congruent if_________.
- Which of the following statements are true (T) and which are false (F):If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.
- A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.
Kickstart Your Career
Get certified by completing the course
Get Started