Practice Geometry Questions and Answers

• Triangle ABC and triangle ACD are right angled triangle and AB = x cm. BC = y cm, CD = z cm and x times; y = z and x, y and z has minimum integral value. T...
• In the figure given below, PQ is parallel to RS. What is `angleNMS` ...
• In a line PQ, is drawn parallel to BC, points P, Q being on AB and AC  respectively. If AB = 3 AP, then what is the ratio of the area  of triangl...
• ABCD is a square. P, Q, R and S are points on the sides AB, BC, CD and DA respectively such that AP = BQ = CR = DS. Angle  SPQ equal to ? ...
• Given are three points A(2, 7), B(4, -1), C(- 2, 6) on a plane. What kind of triangle is formed by joining the points A, B, and C? ...
• If y = 5x + c passes through point A(5, 2), what is the value of c? ...
• In the given figure CD is parallel to AB then ∠y is?  ...
• The area of the largest triangle inscribed in a semi-circle of radius R is-
• O and C are the respectively orthocentre and circumcentre of ∆PQR. The line PO is extended which intersect line QR at S. such that, ∠QCR = 140°, ∠PQ...
• In ∆ABC, AB = 5cm, BC = 6cm and AC = 10cm then find out the value of cos A?
• The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circumcircle at E. If DE = 6cm, AC = 8cm and AD = 10 cm, then find the length of AB?
• In a right angle triangle, the product of two sides is half of the square of the third side (i.e., hypotenuse). Accordingly find out the acute angle?
• In the figure P is a point which is 12 cm away from the centre of the circle O. A line drawn from P point cuts circle at point A and B respectively. If PB ...
• PQRS is a cyclic quadrilateral of which PQ is the diameter. Diagonals PR and QS intersect at A. If SQR = 25°, then angle PAS measures
• A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?
• In a Pentagon ABCDE, ∠A = 110° and ∠B = 140° and ∠D = ∠E. Side AB and DC were extended and meet at the point P such that ∠BPC =...
• Find out the circumference of a sector whose radius is 7 cm and it makes the angle of 45° at the centre?
• In the given figure CD is parallel to AB then ∠y is?  ...
• The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circum circle at E if DE = 6cm, AC = 8cm and AD = 10 cm then find the length of AB?
• PQ and PR are the two chords of a circle. The tangents at Q and R meet at A. If ∠QPR = 64°, then the measure of ∠QAR is?
• ABCD is a cyclic quadrilateral, such that ratio of measures ∠A, ∠B and ∠C is 1 : 4 : 5, then the measure of ∠D is?
• Find the ratio between the area of the in-circle and the circum-circle of a square?
• In the given Figure, Find  angle BCD. If AB is a diameter & AB is parallel to CD. ...
• In an obtuse angle  triangle PQR, the external angle bisector of  angle P intersect the extended part of line RQ at M and the external angle bisector of ...
• AB and AC are two Chords of a circle with centre O. M and N are the mid points of the chords respectively. The line OM and ON are extended which intersects...
• In the given figure PQRS is a square and OQR is an equilateral triangle, then find angle POS? ...
• In a given Figure, ON ∥  QR and MN ∥  OR. If, PO : OQ = 2 : 3 then find MO : OQ?...
• Find the distance between two parallel chords of length 24 cm each in a circle of diameter 25 cm?
• The ratio of the angles ∠A and ∠B of a non-square rhombus ABCD is 7:5, then the value of the ∠C is
• What is the ∠ SRO if O is the centre of circle, ∠ SPO = 55˚ and ∠ POR = 115 ˚ ...
• If median AD of an equilateral ∆ABC is 6 cm and G is centroid. Find AG?
• If median AD of an equilateral ∆ABC is 24 cm and G is centroid. Find AG?
• If median AD of an equilateral ∆ABC is 21 cm and G is centroid. Find GD?
• If the area of ∆ ABC is 33 cm2 & G is the centroid of ∆ ABC.then the area of the ∆ BGC?
• If the area of ∆ ABC is 30 cm2 & G is the centroid of ∆ ABC.then the area of the ∆ AGB?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 72 cm 2 , then the area of ∆BDG is?
• If G is the centroid and AD, BE, CF are three medians of ∆BDG with area 6cm 2 , then the area of ∆ABC is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABCwith area 24 cm 2 , then the area of ∆CGD is?