If none of the angles of a triangle are equal, then ______ of the sides are equal.
One pair
All
None
Match the following: QuadrilateralProperties1. TrapeziumA) A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to 90∘2. SquareB) A quadrilateral, where only one pair of opposite sides is parallel and unequal3. RectangleC) A parallelogram, where diagonals are equal,all sides equal and all the angles are 90∘4. RhombusD) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90∘
Match the following:QuadrilateralProperties1. TrapeziumA) A parallelogram, where diagonals bisect at right angles, all sides are equal and none ofthe angles are equal to 90∘2. SquareB) A quadrilateral, where only one pair of opposite sides are parallel and unequal3. RectangleC) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90∘4. RhombusD) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90∘
In two triangles; if a pair of corresponding angles and a side are equal, then the triangles are necessarily congruent.
Which of the following statements are true (T) and which are false (F): (i) Sides opposite to equal angles of a triangle may be unequal. (ii) Angles opposite to equal sides of a triangle are equal. (iii) The measure of each angle of an equilateral triangle is 60°. (iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. (v) The bisectors of two equal angles of a triangle are equal. (vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. (vii) The two altitudes corresponding to two equal sides of a triangle need not be equal. (viii) If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. (ix) 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.