Math  /  Geometry

QuestionConsider the following letters from the English alphabet written as shown. H N T Y Z
Which letters contain perpendicular line segments?
The letters that contain perpendicular line segments are (Use a comma to separate answers as needed.)

Studdy Solution

STEP 1

1. Perpendicular line segments are defined as two lines that intersect at a 90-degree angle.
2. We are considering the standard uppercase English alphabet.

STEP 2

1. Identify the structure of each letter.
2. Determine if any line segments within each letter are perpendicular.
3. List the letters that contain perpendicular line segments.

STEP 3

Identify the structure of each letter: - H: Consists of two vertical lines connected by a horizontal line. - N: Consists of two vertical lines connected by a diagonal line. - T: Consists of a vertical line with a horizontal line at the top. - Y: Consists of two diagonal lines meeting at a point and a vertical line. - Z: Consists of a horizontal line at the top, a diagonal line, and a horizontal line at the bottom.

STEP 4

Determine if any line segments within each letter are perpendicular: - H: The horizontal line is perpendicular to the vertical lines. - N: No perpendicular line segments. - T: The horizontal line is perpendicular to the vertical line. - Y: No perpendicular line segments. - Z: No perpendicular line segments.

STEP 5

List the letters that contain perpendicular line segments: - H, T
The letters that contain perpendicular line segments are:
H,T \boxed{H, T}

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