What is symmetry in the context of shapes and objects?

Symmetry is when an object or shape looks the same even after being flipped, turned, or divided in special ways.

Fill in the blank: The line that divides a shape into two identical halves is called the ___ line.

Line of symmetry

True or False: The mirror image of an object has different dimensions compared to the original object.

False. The mirror image has the same dimensions as the original object.

What occurs when you draw a perpendicular from a vertex of a figure to the mirror line?

The perpendicular helps locate the position of the mirror image of that vertex, maintaining equal distance from the mirror line.

Riddle: I can create many images with the help of angles, when you look into me, what am I?

A mirror

What happens to the distance of points from the mirror line when creating a mirror image?

The distance of each point from the mirror line is the same for both the original point and its mirror image.

In a figure with two lines of symmetry, how can we find the image points of the corner points of the figure?

By drawing perpendiculars from the corner points to the lines of symmetry.

The mirror image of a figure can be created by joining points in what specific sequence?

The sequence should be A' – B' – C' – D' – E' to connect the corresponding points of the mirror image.

When reflecting a point A across a line of symmetry, the distance from A to the line is equal to the distance from A' to the line. True or False?

True. The distances are equal when reflecting across a line of symmetry.

To create the mirror image A'B'C'D'E' of the figure ABCDE, the conditions PA' = PA, QE' = QE, RD' = RD, SC' = SC, and TB' = TB must hold. Fill in the blank: These conditions ensure that the original figure and its mirror image are ___ related.

Geometrically

What is the purpose of drawing perpendicular lines from the corner points to the lines of symmetry in a figure?

The purpose is to accurately locate the corresponding image points for creating a symmetrical figure.

Riddle: I have two lines of symmetry and can be folded along either line to match perfectly. What am I?

I am a shape that possesses bilateral symmetry, such as a rectangle or an isosceles triangle.

What geometric transformations are used to construct a mirror image of a figure?

Reflections across lines of symmetry.

A plane of symmetry divides a 3D shape into two congruent shapes that are ___ of each other.

Mirror images

When a solid is cut by a plane, the resulting section is said to be ___ and ___ in nature.

Flat and two-dimensional

Riddle: I can divide a shape into two equal parts, but I'm not a knife. What am I?

A plane of symmetry

What happens when a cuboid is cut through a plane that is not a plane of symmetry?

The two halves will not be mirror images of each other.

What is the definition of rotational symmetry?

A figure has rotational symmetry if there is a central point around which the figure can be rotated through a certain number of degrees (less than 180) and remain unchanged.

During a full rotation of 360 degrees, how many times does a line segment with rotational symmetry of order 2 fit onto itself?

The line segment fits onto itself twice during a full rotation of 360 degrees.