Triangles Test ...

In the given figure, find the measure of ∠PQS if ∠PRQ = 30° and ∠QRS = 50°.

If ΔABC ≅ ΔXYZ, then which of the following is true?

(A) ∠ABC = ∠XYZ, ∠BCA = ∠YZX, ∠CAB =∠ZXY
(B) ∠ABC = ∠YXZ, ∠BCA = ∠XYZ, ∠CAB = ∠YZX
(C) ∠ABC = ∠YZX, ∠CAB = ∠XYZ, ∠BCA = ∠ZXY
(D) None of these

In the given figure, if PS = PT and SR = TQ, and PM is the angle bisector of ∠P, then

Consider the following figures:



The two given triangles are

In the given triangles, ΔPQR is congruent to ΔXYZ. Find the sum of the sides QR and XZ if the missing side of the triangle XYZ is 4 cm and ∠ZXY is 40°.

Given that PS is the perpendicular bisector of QR, by which congruence rule are the two triangles △PSQ and △PSR congruent?

In the given figure, ΔPQR is an isosceles triangle with PR = QR. If M is the mid-point of PQ, then which of the following options is true?

In the following figure, ABC is an equilateral triangle. AD and BE are lines which respectively join the mid-points of BC and AC with the opposite vertex.

Which of the following statements is false?

In triangle PQR, if ∠P = 70°, ∠Q = 65° and ∠R = 45°, then

In the given figure, ΔPQR is an isosceles triangle with QP = QR. X and Y are points on PR such that XP = XQ and YQ = YR.

Which of the following options is correct?

In ΔPQR, if the bisector PM of ∠P is perpendicular to side QR, then

DEF is a right-angled triangle at ∠E. If it follows all general rules of geometry, then what will be the measure of the external angle to ∠E?

In the given figure, ΔMQN, ΔMPO and ΔMNO are isosceles, and ∠QNO is congruent to ∠PON.



Which of the following rules can be used to prove that ΔMQN is congruent to ΔMPO?

In the following figures, XYZ is an isosceles triangle with XY = XZ. The bisectors of ∠Y and ∠Z intersect each other at P. If PY = 4 cm, then what will be the value of PZ?

Consider the following two triangles ABC and DEF and find the value of ∠DFE if ∠BAC is 35° and AB = DE.

In the given figure, ABC is an isosceles triangle, and BE, DC and AF are the medians.



Which of the following statements is not true regarding the triangle?

What is the name of the congruence rule which proves the congruency of two triangles using the right angle?

In the given figure, AC = EF. Which of the following triangles is congruent to BDC?

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, 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?

Fill in the blanks:

I. The sum of any two sides of a triangle is __P__ than the third side.
II. In triangles PQR and FJK, if PQ = FJ, PR = FK and QR = JK, then ΔPQR ≅ ΔFJK by ___Q___ congruency rule.
III. According to a property of triangles, the side opposite to the __R__ angle is the shortest side of the triangle.

Match the following:

Column I	Column II
A. ΔSRO ≌ ΔOQP	1. ASA Congruence Rule
B. ΔABC ≌ ΔXYZ	2. Hypotenuse-Leg Congruence Rule
C. ΔDEF ≌ ΔIJK	3. RHS Congruence Rule
D. ΔPQS ≌ ΔPRS	4. SAS Congruence Rule

In the given quadrilateral AECB, vertices A and E are extended to meet at point D on side BC such that AD and AE are respectively equal to AB and diagonal AC.



If ∠BAC = ∠EAD, then which of the following options is true?

Which of the following is the CORRECT statement?

O and M are graphically calculated to be the mid-points of equal sides PQ and PR, which are each 12 cm in length. If these lines form two equal adjacent sides of a parallelogram PQSR, then which of the following options is true?