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Questions and Answers
What is the measurement of a right angle?
What is the measurement of a right angle?
- 45 degrees
- 90 degrees (correct)
- 180 degrees
- 120 degrees
What does the special symbol in the corner angle signify?
What does the special symbol in the corner angle signify?
- An angle of 180 degrees
- An obtuse angle
- An acute angle
- An angle of 90 degrees (correct)
Which of the following shapes cannot have perpendicular sides?
Which of the following shapes cannot have perpendicular sides?
- Regular hexagons (correct)
- Squares
- Rectangles
- Right triangles
What is the sum of the angles in a quadrilateral?
What is the sum of the angles in a quadrilateral?
Which of the following shapes is NOT a quadrilateral with perpendicular sides?
Which of the following shapes is NOT a quadrilateral with perpendicular sides?
What is the purpose of the box symbol in the angle?
What is the purpose of the box symbol in the angle?
What is a characteristic of a right triangle?
What is a characteristic of a right triangle?
What is an example of a real-world object that has perpendicular sides?
What is an example of a real-world object that has perpendicular sides?
What is true about the sides of the hexagonal prism?
What is true about the sides of the hexagonal prism?
What type of angle is formed by the sides that connect at the right angle in a right triangle?
What type of angle is formed by the sides that connect at the right angle in a right triangle?
What is a characteristic of perpendicular line segments?
What is a characteristic of perpendicular line segments?
What is the reason the top and bottom of the hexagonal prism are perpendicular to the sides?
What is the reason the top and bottom of the hexagonal prism are perpendicular to the sides?
Which shape has perpendicular sides and faces?
Which shape has perpendicular sides and faces?
What can be concluded about the shape of the bases of the hexagonal prism?
What can be concluded about the shape of the bases of the hexagonal prism?
What is a characteristic of a right trapezoid?
What is a characteristic of a right trapezoid?
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Study Notes
Perpendicular Sides
- Perpendicular means two lines or sides that meet at a right angle (90 degrees).
- Perpendicular sides are common in real-life situations, such as houses, storage boxes, and rectangles.
- A special symbol (a box in the corner angle) is used to signify that two sides are perpendicular without measuring.
Shapes with Perpendicular Sides
- The most common shapes with perpendicular sides are squares, rectangles, and right triangles.
- A quadrilateral is a shape with four sides, and if all its angles are equal, then the sides are perpendicular.
- Open shapes, like a box without a top, can also have perpendicular sides.
Real-World Examples of Perpendicular Sides
- Cracker boxes, thresholds of doors, and notebooks have perpendicular sides.
- Roads that intersect at a right angle are also perpendicular.
Perpendicular Line Segments
- A line segment is a line that begins and stops at a point.
- Perpendicular line segments are line segments that intersect at a 90-degree angle.
- If two line segments intersect at a 90-degree angle, all four angles between them are also 90 degrees.
Perpendicular Shapes
- A perpendicular shape is a shape with at least two sides that come together at a 90-degree angle.
- Examples of perpendicular shapes include squares, rectangles, right triangles, cubes, and rectangular prisms.
- These shapes can be easily identified by the presence of a box symbol in the angle, indicating a 90-degree angle.
Shapes with Perpendicular Lines
- A cube has perpendicular sides as well as perpendicular faces.
- A right trapezoid has a pair of parallel sides and sides that are perpendicular to each other.
- The presence of a box symbol in the angle indicates a 90-degree angle and perpendicular sides.
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