Triangle Question for Revision | Class 10th question for triangle

Mathematics Question for revision | Triangle Question

There will be 10 questions and timing will be 1 hour.

1. Fill the follwoing with right answer :
a) All circles are _____________. (congruent, similar)
b) All ___________ triangles are similar. (isosceles, equilateral)
c) Two polygons of the same number of sides are similar, if (a) their corresponding angles are ______________ and (b) their corresponding sides are ______________ proportional)

2. To prove : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

3. To Prove : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

4. ABCD is a trapezium with AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB.Show that AE/ED =BF/FC. .

5. The diagonals of a quadrilateral ABCD intersect each other at the point O such that AO/OB = CO/OD. Show that ABCD is a trapezium

6. In Fig. given below, DE || OQ and DF || OR. Show that EF || QR.

7.If AD and PM are medians of triangles ABC and PQR, respectively where Δ ABC ~ Δ PQR, prove that AB/PQ = AD/PM.

8. Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR.Show that Δ ABC ~ Δ PQR.

9. D is a point on the side BC of a triangle ABC such that Δ ADC = Δ BAC. Show that CA² = CB.CD.

10. In Fig. given below, altitudes AD and CE of Δ ABC intersect each other at the point P. Show that:
(i) Δ AEP ~ Δ CDP
(ii) Δ ABD ~ ΔCBE
(iii) Δ AEP ~ Δ ADB
(iv) Δ PDC ~ Δ BEC