Congruence of T...

Which of the following statements is false?

If BC = QR, then by which of the following rules of congruence is ABC congruent to PQR?

In the given figure, OQ = OS, QP = SR and QPO SRO, then which of the following is true?

In the given figure, triangles PQR and SRQ are right angled at Q and R, respectively; and PR = SQ.


By which of the following criteria are these triangles congruent?

In the given figure, O is the midpoint of PY, and PQ = YX.

Which of the following relations is true?

In the given figure, AD is a perpendicular drawn on side BC. If you have to prove that ABD is congruent to ACD by SAS criterion, then which of the following will be required?

Which congruence criterion can be used to make the given triangles congruent?

If , then the measure of ∠QPR is

If ΔABC ΔKML, then ∠A and ML are respectively equal to

If PQ = PS and QR = SR, then which of the following is true?

In the given figure, if POQ SOR, then which of the following relations is false?

△ABC ≅ △DEF by __________ congruence rule.

Which of the following congruence criteria can be used to state that △BCA ≅ △ECD?

Directions: Study the figure and information given below carefully to answer the following question.



In the given figure, F and G are the midpoints of AE and DE respectively. AF = GE and BE = CE.

△BEF is congruent to

Directions: Study the figure and information given below carefully to answer the following question.



In the given figure, F and G are the midpoints of AE and DE respectively. AF = GE and BE = CE.
∠ABE is equal to

Directions: Find the odd one out.

If for PQR and TUV, the correspondence RPQ VTU gives a congruence, then which of the following is not true?

Which of the following is correct?

If in two triangles PQR and DEF, PQ = QR, QR = EF and ∠D = ∠P, then which of the following statements is correct?

A. Both these triangles are congruent as well as equilateral.
B. Both these triangles are congruent.
C. Both these triangles are equilateral.
D. None of these

In the figure, AD = BC and BD = AC. Which of the following is true?

Rohan wants to design a window as shown in figure. He decides to make △LNM congruent to △LNO. He designed the window such that LN ⊥ MN. Which of the following conditions make(s) the two triangles congruent?

Two security guards are standing in a building area in such a way that both are always at equal distance from the front and back exit gates of the area.



Which of the following statements is/are true?

Ashish asked Tanmay to find congruent triangles in the following figure, if any. Help Tanmay identify whether the triangles are congruent, and mark the correct option.

Directions: Given below are three statements about congruence written by three friends. Read the statements carefully and answer the question that follows.

Tanmay: All circles are congruent.
Simran: All acute angled triangles are congruent.
Rohan: All scalene triangles are congruent.

Who wrote the incorrect statement?

There are two right triangles and both these triangles are congruent. If PS = CB and PQ = CA, then find the length of AB.

Directions: Match the figures in column I with congruence criterion used in column II.

Column I	Column II
(i)	a. SAS Criterion
(ii)	b. SSS Criterion
(iii)	c. RHS Criterion
(iv)	d. AAS Criterion

Directions: Read the given statements carefully and choose the correct option.

Statement 1: Two triangles are congruent triangles, if they havethree congruent sides and three congruent angles.
Statement 2: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Which of the following statements is correct?

(A) SSA is a criterion of congruence.
(B) If two triangles are equilateral triangles, then they are congruent.
(C) All rectangles are congruent.
(D) None of the above statements is correct.

Which of the following pairs of triangles is congruent by RHS criterion? (Figures are not drawn to scale)

Directions: State 'T' for true and 'F' for false for the following statements.

I. If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
II. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
III. If three angles of one triangle are equal to three angles of another triangle, the triangles are congruent.
IV. If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.