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Which of the following statements are true (T) and which are false (F):
Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.
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In Δ ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in P. Arrange AP, BP and CP in descending order.
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Prove that the perimeter of a triangle is greater than the sum of its altitudes.
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In the given figure, prove that:
CD + DA + AB + BC > 2AC
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In the given figure, prove that:
CD + DA + AB > BC
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In two congruent triangles ABC and DEF, if AB = DE and BC = EF. Name the pairs of equal angles.
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In two triangles ABC and DEF, it is given that ∠A = ∠D, ∠B = ∠E and ∠C =∠F. Are the two triangles necessarily congruent?
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If ABC and DEF are two triangles such that AC = 2.5 cm, BC = 5 cm, ∠C = 75°, DE = 2.5 cm, DF = 5cm and ∠D = 75°. Are two triangles congruent?
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In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?
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In triangles ABC and CDE, if AC = CE, BC = CD, ∠A = 60°, ∠C = 30° and ∠D = 90°. Are two triangles congruent?
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ABC is an isosceles triangle in which AB = AC. BE and CF are its two medians. Show that BE = CF.
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In the given figure, ABC is an isosceles triangle whose side AC is produced to E. Through C, CD is drawn parallel to BA. The value of x is
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D, E, F are the mid-point of the sides BC, CA and AB respectively of ΔABC. Then ΔDEF is congruent to triangle
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If ABCD is a rhombus with ∠ABC = 56°, find the measure of ∠ACD.
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The perimeter of a parallelogram is 22 cm. If the longer side measures 6.5 cm, what is the measure of shorter side?
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If measures opposite angles of a parallelogram are (60 − x)° and (3x − 4)°, then find the measures of angles of the parallelogram.
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In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.
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Complete the following statement by means of one of those given in brackets against each:
If one angle of a parallelogram is a right angle, then it is necessarily a .................
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Complete the following statement by means of one of those given in brackets against each:
Consecutive angles of a parallelogram are ...................
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PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
∠P =85°, ∠Q = 85°, ∠R = 95°
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