Segment Line and Triangle

What is the definition of a segment line parallel to a side of a triangle?

• A line that intersects the side of the triangle at a 45-degree angle

• A line that never intersects the side of the triangle and is always at the same distance from it.

• A line that intersects the side of the triangle at a right angle

• A line that is always at a different distance from the side of the triangle

In a triangle, if a segment line is parallel to one side, what can you say about the other two sides?

• They are divided proportionally

• They are parallel to each other

• They are perpendicular to each other

• They are congruent

If a segment line is parallel to one side of a triangle, what can you say about the angles formed by the segment line and the other two sides?

• The angles are always acute

• The angles are always obtuse

• The angles are always right angles

• Corresponding angles are congruent

What is the relationship between the segment line and the sides of the triangle when the segment line is parallel to one side?

• It creates a right angle with the other two sides.

• It bisects the other two sides.

• It divides the other two sides proportionally.

• It has no relationship with the sides of the triangle.

If a segment line is parallel to one side of a triangle, what can you say about the similarity of the triangles formed?

• The triangles formed are right-angled

• The triangles formed are similar.

• The triangles formed are not similar

• The triangles formed are congruent

What is the significance of a segment line parallel to a side of a triangle in real-life applications?

• Aiding in medical diagnosis

• Enhancing communication skills

• Improving cooking techniques

• Stability and accurate measurements in engineering and construction

What is the length of DB, when Line segment DE is Parallel to line segment BC?

• 24

• 32

• 48

• 15

Find the length of DE in the figure when you know BC=12, AD=4, DB=2

• 18

• 12

• 8

• 10

If the line segment XY is parallel to the line segment BC, find the values of p and q .

• q=24

  p=26

• q=32/3

  p=36/5

• q=32/5

  p=36/5

• q=18

  p=24

Are the lines DE and BC parallel?

• Yes

• No