Congruent Figures And Lines Of Symmetry

The red line shows a line of symmetry because if you fold the figure along that line, the two halves will perfectly match each other. This means that any point on one side of the line will have a corresponding point on the other side that is equidistant from the line. Thus, the figure exhibits symmetry.

The correct answer is "No" because a dotted line does not typically indicate a line of symmetry. A line of symmetry is a line that divides a shape into two identical halves, and it is usually represented by a solid line. Dotted lines are commonly used for other purposes, such as indicating a boundary or a path. Therefore, the presence of a dotted line does not imply the presence of a line of symmetry.

Congruent figures are the same shape and size. This means that they have the same form or outline, and their dimensions, such as length, width, and height, are equal. The concept of congruence in geometry refers to the idea that two figures are identical in shape and size, even if they may be positioned differently or oriented in different directions. Therefore, the correct answers to complete the definition are "shape" and "size".

not-available-via-ai

The shape described in the question is a triangle. A triangle is a polygon with three sides and three angles. It is a closed figure with straight sides. The other options, such as cone, square, rectangle, and circle, do not match the description of a triangle. A cone is a three-dimensional shape, while square, rectangle, and circle are all two-dimensional shapes with different numbers of sides and angles. Therefore, the correct answer is triangle.

not-available-via-ai

Congruent figures are identical in both size and shape. Therefore, when two figures are said to be congruent, it means that they have the same dimensions and angles, making them an exact match.

not-available-via-ai