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25 January, 15:27

Which statements are true?

If all angles of a quadrilateral are right angles, then the quadrilateral must be a square.

Two shapes are similar if and only if their corresponding angles are equal.

All quadrilaterals have four sides, and the sum of all angles in a quadrilateral is 180º.

if the diagonals of a quadrilateral are perpendicular bisectors, then the quadrilateral must be a rhombus.

There are three vertices in a triangle, or there are four sides in a pentagon.

Any two triangles are either similar or congruent.

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Answers (1)
  1. 25 January, 15:55
    0
    Step-by-step explanation:

    1) If all angles of a quadrilateral are right angles, then the quadrilateral must be a square. This is not true because the quadrilateral can also be a rectangle.

    2) Two shapes are similar if and only if their corresponding angles are equal. This is true.

    3) All quadrilaterals have four sides, and the sum of all angles in a quadrilateral is 180º. This is false because the sum of the angles is 360°

    4) if the diagonals of a quadrilateral are perpendicular bisectors, then the quadrilateral must be a rhombus. This is true.

    5) There are three vertices in a triangle, or there are four sides in a pentagon. This is false because a Pentagon has 5 sides.

    6) Any two triangles are either similar or congruent. This is not true. Congruent triangles are always similar

    Therefore, the true statements are 2 and 4
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