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Practice — Maths 9 • Properties of triangles and quadrilaterals

Geometry statements
Difficulty: ★★☆
1596 • Задача 1, вариант 1

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. The sum of the angles of a triangle is \(180^\circ\).
  2. Opposite sides of a parallelogram are equal.
  3. The diagonals of a rectangle intersect at a right angle.
  4. The bases of any trapezoid are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1597 • Задача 1, вариант 2

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. In an equilateral triangle, all angles are equal.
  2. In a rhombus, the diagonals bisect the angles.
  3. The diagonal of a rectangle is greater than any of its sides.
  4. The legs of any trapezoid are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1598 • Задача 1, вариант 3

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. In a right triangle, the leg opposite the \(30^\circ\) angle equals half the hypotenuse.
  2. If the diagonals of a parallelogram are equal, then it is a rhombus.
  3. The diagonals of a square are equal.
  4. In an isosceles trapezoid, the angles at one base are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1599 • Задача 1, вариант 4

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. The sum of the acute angles of a right triangle is \(90^\circ\).
  2. All angles of a rhombus are equal.
  3. The diagonals of a rectangle are equal.
  4. The sum of the angles of a trapezoid is \(360^\circ\).
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1600 • Задача 1, вариант 5

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. A triangle with sides \(1,2,4\) does not exist.
  2. Opposite angles of a parallelogram are equal.
  3. The diagonals of a square are perpendicular.
  4. The midline of a trapezoid equals the sum of its bases.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1601 • Задача 1, вариант 6

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. The hypotenuse of a right triangle is longer than the sum of its legs.
  2. The diagonals of a rhombus are equal.
  3. The diagonals of a rectangle bisect each other.
  4. In a right trapezoid, one of the angles is \(90^\circ\).
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1602 • Задача 1, вариант 7

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. In an obtuse triangle, all angles are obtuse.
  2. The sum of the angles of a parallelogram is \(360^\circ\).
  3. All angles of a square are equal.
  4. In an isosceles trapezoid, the bases are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1603 • Задача 1, вариант 8

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. The bisector drawn to the base of an isosceles triangle is also a median and an altitude.
  2. The diagonals divide a parallelogram into four equal triangles.
  3. The area of a square equals the square of its side.
  4. In a trapezoid, the legs are parallel.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1604 • Задача 1, вариант 9

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. In a triangle, the smaller side lies opposite the larger angle.
  2. A parallelogram has two equal angles.
  3. Every square is a rectangle.
  4. In a right triangle, all angles are right angles.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1605 • Задача 1, вариант 10

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. A median of a triangle bisects the angle from whose vertex it is drawn.
  2. The diagonals of a rhombus bisect each other.
  3. If the diagonals of a parallelogram are equal, then the parallelogram is a square.
  4. The bases of any trapezoid are parallel.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1606 • Задача 1, вариант 11

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. The angle bisector of a triangle bisects the side to which it is drawn.
  2. The diagonals divide a rhombus into four right triangles.
  3. In an isosceles triangle, all angles are equal.
  4. The legs of an isosceles trapezoid are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1607 • Задача 1, вариант 12

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. Every equilateral triangle is isosceles.
  2. All angles in a parallelogram are equal.
  3. The diagonals of a square bisect each other.
  4. The diagonals of a right trapezoid are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1608 • Задача 1, вариант 13

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. A triangle with sides \(1,2,5\) exists.
  2. The diagonals of a rectangle divide it into four equal triangles.
  3. The diagonals of a square bisect its angles.
  4. If all angles of a triangle are equal, then all its sides are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1609 • Задача 1, вариант 14

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. The diagonals bisect the angles of a parallelogram.
  2. If a parallelogram has equal adjacent sides, then it is a rhombus.
  3. A median of an equilateral triangle divides it into two congruent triangles.
  4. The diagonals of an isosceles trapezoid are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1610 • Задача 1, вариант 15

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. If the angles of one triangle are respectively equal to the angles of another triangle, then the triangles are congruent.
  2. A rectangle is a parallelogram.
  3. The hypotenuse of a right triangle is longer than either leg.
  4. The diagonals of any trapezoid are equal.
1) 2) 3) 4)
       
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Geometry statements
Difficulty: ★★☆
1611 • Задача 1, вариант 16

State which statements are true (T) and which are false (F), and fill in the table.

Choose the correct four-letter code with no spaces.

  1. The base angles of an isosceles triangle are equal.
  2. The diagonals of a rhombus are perpendicular.
  3. A diagonal of a rectangle divides it into two congruent triangles.
  4. In a right trapezoid, all angles are right angles.
1) 2) 3) 4)
       
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