Which statements are true about perpendicular lines?

The TRUE statement: "The lines intersect and are perpendicular." This is true because the slopes of the two lines are opposite-reciprocals of each other.

Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle. The symbol used to denote two perpendicular lines: ⊥ ⊥ .

Perpendicular lines do not have the same slope. The slopes of perpendicular lines are different from one another in a specific way. The slope of one line is the negative reciprocal of the slope of the other line. The product of a number and its reciprocal is 1.

Describes and Draws Parallel, Intersecting, and Perpendicular Lines Using Ruler and Set square

Do perpendicular lines intersect at a right angle?

ex) perpendicular lines conditional If two lines are perpendicular, then they intersect to form right angles. converse If two lines intersect to form right angles, then they are perpendicular.

A perpendicular shape is a shape that has at least two sides that come together at a 90-degree angle. The box symbol where two lines or sides meet verifies that they are perpendicular. A right triangle has one right angle and two perpendicular lines.

The symbol used for perpendicular lines are ┴. For example, a ┴ b (read as a is perpendicular to b). In the above figure, AB and AC are perpendicular lines. ∠CAB = 90°.

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines in the plane, you get −1 . That is, the slopes of perpendicular lines are opposite reciprocals .

Do perpendicular lines have to make a 90-degree angle?

If you want to get technical, perpendicular lines don't just intersect at 90-degree angles; they also have to be coplanar. The prefix "co-" gives us a hint about this word's meaning.

Explanation: Perpendicular lines have slopes that are negative reciprocals of one another. The given line's slope is 5, which means that the slope of the other line must be its negative reciprocal.

If two lines are perpendicular, they will intersect to form four right angles. If two sides of two "adjacent acute angles" are perpendicular, the angles are therefore complementary. Adjacent angles are angles that are beside each other, whereas acute angles, as you hopefully recall, are angles less then 90 degrees.

Explanation: Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2.