Grade 4 Math (2d Geometry)

In geometry, congruent figures are identical in shape and size.

A line of symmetry divides a figure into two identical parts, making the figure symmetric. Folding the figure along the line of symmetry will show that the parts match perfectly.

Hatch marks are specifically used to indicate equal sides and angles in a geometric figure, helping to visually represent congruence.

An equilateral triangle is a triangle in which all three sides are equal in length and all three angles are equal in measure. Therefore, the correct answer describes the key characteristics of an equilateral triangle.

An isosceles triangle has two sides of equal length, two angles of equal measure, and one line of symmetry. This distinguishes it from other types of triangles such as equilateral, scalene, and right-angled triangles.

A scalene triangle is one in which all three sides have different lengths, all three angles have different measures, and there are no lines of symmetry that can be drawn.

A right angle is specifically defined as two lines meeting in a square corner, creating a 90° angle. This is a key concept in geometry where understanding the properties of angles can help in solving various mathematical problems.

Parallel lines are two lines that are always the same distance apart and never intersect.

A quadrilateral specifically refers to a shape with four sides and four angles. Any shape with a different number of sides would not be considered a quadrilateral.

A square is a special type of quadrilateral that has all four sides equal in length, two pairs of parallel sides, four right angles, and four lines of reflective symmetry. Any deviation from these characteristics would not define a square.

A rectangle is defined by having 2 pairs of congruent opposite sides, 2 pairs of parallel sides, 4 right angles, and 2 lines of reflective symmetry. This unique combination of characteristics distinguishes it from other shapes.

A parallelogram is defined by having 2 pairs of congruent opposite sides, 2 pairs of parallel sides, 2 pairs of congruent opposite angles, and no line of reflective symmetry. The incorrect answers provided do not adhere to the characteristics of a parallelogram.

A rhombus is a quadrilateral with four equal sides, two pairs of parallel sides, two pairs of congruent opposite angles, and two lines of reflective symmetry. It is important to differentiate between properties such as perpendicular sides, multiple pairs of parallel sides, and rotational symmetry when identifying a rhombus.

A kite has specific characteristics that distinguish it from other shapes, including the number of congruent sides, angles, and reflective symmetry.

Adjacent sides are those that share a common vertex in a figure, forming a corner.

A vertex is a point where two sides of a figure meet, unlike the other options which do not accurately define a vertex.

A square specifically refers to a figure with 4 sides of equal length and 4 right angles. Any deviations from these characteristics result in a shape that is not classified as a square.

A rectangle specifically must have 4 sides where 2 pairs of opposite sides are equal, and each angle is a right angle. The incorrect answers do not align with these characteristics.

A parallelogram is a specific type of quadrilateral that has unique characteristics related to its sides and angles. The correct definition highlights the key features of a parallelogram, distinguishing it from other shapes.

A rhombus specifically has 4 sides with 2 pairs of opposite sides being parallel and all sides being equal in length, distinguishing it from other geometric figures.

A trapezoid specifically refers to a quadrilateral with only one pair of parallel sides, making it distinct from other types of polygons.

In geometry, a kite is a specific type of quadrilateral with distinct properties related to its side lengths. It is important to differentiate between the geometric definition of a kite and other common interpretations of the word.