Triangles Test ...

PQR is an isosceles triangle with PQ = PR. The bisectors of and meet at point O. By which of the following conditions is POQ POR?

In the given triangle, ADBC and B > C.



Which of the following relations is definitely correct?

PQR is an isosceles triangle such that PQ = PR and perpendiculars from vertices Q and R meet their opposite sides at points M and N, respectively. Which of the following conditions will make ΔNQR ΔMRQ?

In the given figure, ABCD, AD || BC, AD = BC and OC = OD.


Which of the following options is the correct relationship for the given figure?

In the given figure, if AC bisects BCD and BAD, which of the following criteria can be used to prove that ABC ADC?

Based on the figure, which of the following options gives the correct comparison between MN and MP?

If in a PQR, PQ < QR, then which of the following is definitely true?

In the given figures, if ABC DEF, find the value of x.

What will be the ratio of the perimeters of two congruent triangles?

In the given figure, D is the midpoint of BE, E is the midpoint of CD, AB > BD and AD > CE. Which of the following relations is definitely true?

If MN is a line segment and PO is its perpendicular bisector, bisecting it at O, then which of the following is true?

Which of the following options is correct?

Which of the following criteria is most appropriate to prove that BAC is congruent to ABD?

In the given figure, >


Which of the following relations is correct?

Given PQ = FE and RP = DF, what additional information is needed to prove that PQR and FED are congruent by SAS congruency criterion?

Which of the following relations is true, if A, B and C of ΔABC are in the ratio 2 : 3 : 4, respectively?

According to which rule is ?

In the following figure, AB = BC and AC = CD. Which of the following is true?

Which of the following options is true for the two given congruent triangles?

If ABC A'C'B', C' = 3x - 40° and B = 2x - 10°, then what is the measure of B?

Fill in the blanks.

(1) In a triangle ABC, AB = 5 units and AC = 3 units. Then, side BC W 8.
(2) Two line segments AB and PQ bisect each other at O. Then, △AOQ △BOP by X criterion.
(3) If PQR MNO, then NO correspond to Y .

In the figure below (not drawn to scale), if AD = CD = BC and BCE = 96°, then what is the measure of DBC?

Which of the following statement is/are correct?

(A) In PQR, PQ + PR > QR is always true.
(B) If two angles and one side of a triangle are equal to two angles and the corresponding side of another triangle, then the two triangles are congruent (AAS Congruence Rule).
(C) Angles opposite to equal sides of an isosceles triangle are equal.
(D) In a triangle, the side opposite to the larger (greater) angle is longer.

Match the following:

Column A	Column B
(i) ABC DCB by	(A) ASA Rule
(ii) Given, AD = DC and ∠ADB = ∠CDB. Then, ADB CDB by	(B) RHS Rule
(iii) EAB DCB by	(C) SAS Rule
(iv) Given, PM || NQ and O is the midpoint of line segment PQ. Then, POM QON by	(D) SSS Rule

In the figure above, the area of triangular region PQR is 36 sq. units. What is the area of triangular region SQR?