High School

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Word Bank: Parallelogram, Rectangle, Rhombus, Kite, Square, Isosceles Trapezoid.

Match the properties with the correct quadrilateral.

1.
- Opposite sides are congruent
- Opposite angles are congruent
- Consecutive angles are supplementary
- Diagonals bisect each other
- Diagonals are congruent
- Diagonals are perpendicular
- All four corner angles are 90°
- Diagonals bisect angles

2.
- Two pairs of consecutive congruent sides, but opposite sides are not congruent
- Diagonals are perpendicular
- Exactly one pair of congruent angles
- Diagonals bisect one pair of angles

3.
- Median = ½ (base + base)
- Lower two base angles are congruent
- Upper two base angles are congruent
- Diagonals are congruent
- Opposite angles are supplementary

4.
- Opposite sides are congruent
- Opposite angles are congruent
- Consecutive angles are supplementary
- Diagonals bisect each other
- Diagonals are perpendicular
- Diagonals bisect angles
- All four sides are congruent
- The diagonals are NOT congruent

5.
- Opposite sides are congruent
- Opposite angles are congruent
- Consecutive angles are supplementary
- Diagonals bisect each other

6.
- Opposite sides are congruent
- Opposite angles are congruent
- Consecutive angles are supplementary
- Diagonals bisect each other
- Diagonals are congruent
- All four corner angles are 90°

Answer :

Final answer:

This question matches properties with quadrilaterals including a square, kite, isosceles trapezoid, rhombus, parallelogram, and rectangle, focusing on their unique characteristics such as angles, sides, and diagonals.

Explanation:

The question involves matching given properties to specific types of quadrilaterals. Let's match each set of properties to the correct quadrilateral from the word bank given: Parallelogram, Rectangle, Rhombus, Kite, Square, and Isosceles Trapezoid.

  1. Square: All properties listed perfectly describe a square, including all sides being congruent, diagonal properties, and right angles.
  2. Kite: The properties describe a kite, notably two pairs of consecutive congruent sides and diagonals that are perpendicular to one another.
  3. Isosceles Trapezoid: The properties such as median length equal to half the sum of the bases and congruent base angles align with an isosceles trapezoid.
  4. Rhombus: This set describes a rhombus due to all sides being congruent, diagonals bisecting angles, and diagonals being perpendicular without all angles being right angles.
  5. Parallelogram: The properties indicate a general parallelogram, including congruent opposite sides and angles, and diagonals that bisect each other.
  6. Rectangle: The list corresponds to a rectangle with congruent opposite sides and angles, diagonals that are congruent, and all angles being 90°.

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Rewritten by : Jeany

1. Parallelogram: Opposite sides are congruent, Opposite angles are congruent, Consecutive angles are supplementary, Diagonals bisect each other, Diagonals are congruent, Diagonals are perpendicular.

What is congruent?

Congruence is a term used in mathematics to describe the relationship between two geometric figures or objects. When two geometric figures are said to be congruent, it means that the two figures have the same size and shape.

2. Rectangle: Two pairs of consecutive congruent sides, but opposite sides are not congruent, Diagonals are perpendicular, Exactly one pair of congruent angles, Diagonals bisect one pair of angles.

3. Rhombus: Opposite sides are congruent, Opposite angles are congruent, Consecutive angles are supplementary, Diagonals bisect each other, Diagonals are congruent, Diagonals are perpendicular.

4. Kite: Opposite sides are congruent, Opposite angles are congruent, Consecutive angles are supplementary, Diagonals bisect each other, Diagonals are perpendicular, Diagonals bisect angles.

5. Square: Opposite sides of a are congruent, Opposite angles of are congruent, Consecutive angles are supplementary, The diagonals of bisect each other, All four sides are congruent.

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