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Practice Geometry Questions and Answers

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 ∆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?
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 216 cm 2 , then the area of ∆AGF is?
If G is the centroid and AD, BE, CF are three medians of ∆AGF with area 11 cm 2 , then the area of ∆ABC is?
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 54 cm 2 , then the area of ∆BGD is?
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 42 cm 2 , then the area of ∆BGD is?
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 78 cm 2 , then the area of ∆BGF is?
In ∆ABC, AD = DB , DE is parallel to BC, and the area of ∆ABC is 24 cm2. What is the area of ∆ADE in cm2 ?
The lengths of three medians in a triangles are 6 cm, 8 cm, 10 cm. What is the area of that traingle (in cm 2 )?
The lengths of three medians in a triangles are 21 cm, 28 cm, 35 cm. What is the area of that traingle (in cm 2 )?
In ∆ABC , G is the centroid , AB = 5 cm, BC= 6 cm and AC = 7 cm , find GD, where D is the mid-point of BC?
In ∆ABC , G is the centroid , AB = 5 cm, BC= 8 cm and AC = 7 cm , find GD, where D is the mid-point of BC?
If O is the orthocentre of ΔABC , if ∠ BOC = 105 0 then what is the measure of ∠ BAC?
Orthocenter of an right angle triangle lies on
If I is the incentre of ΔABC , if ∠ BIC = 1200 , then what is the measure of ∠ BAC?
If I is the incentre of ΔABC , if ∠ BIC = 112.5° , then what is the measure of ∠ BAC?
If I is the incentre of ΔABC , if ∠ BAC = 500 , then what is the measure of ∠ BIC?
If I is the incentre of ΔABC , if ∠ BAC = 700 , then what is the measure of ∠ BIC?
If I is the incentre of ΔABC , if ∠ BAC = 800 , then what is the measure of ∠ BIC?
If I is the incentre of ΔABC , if ∠ BAC = 650 , then what is the measure of ∠ BIC?
If I is the incentre of ΔABC , if ∠ BAC = 750 , then what is the measure of ∠ BIC?
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 6cm, BC = 9cm then what is BD:CD?
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 8 cm, BC = 10 cm then what is BD:CD?
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 9 cm, BC = 12 cm then what is BD:CD?

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