Math / Geometry

QuestionLearn with an example $\checkmark$ or Watch a video $\angle D E H$ is a right angle and $\overline{E F} \cong \overline{D E}$ .
Which term describes $\overline{E H}$ ? median angle bisector altitude perpendicular bisector Submit

Studdy Solution

STEP 1

1. $\angle DEH$ is a right angle, meaning it measures $90^\circ$ .
2. $\overline{EF} \cong \overline{DE}$ indicates that these segments are equal in length.
3. We need to determine which term best describes $\overline{EH}$ .

STEP 2

1. Understand the properties of the given geometric configuration.
2. Analyze each term to see which one fits the description of $\overline{EH}$ .

STEP 3

Recognize that $\angle DEH$ being a right angle implies that $\overline{EH}$ is perpendicular to $\overline{DE}$ .

STEP 4

Let's analyze each term:
- Median: A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Since $\overline{EH}$ is not described as connecting to a midpoint, it is not a median.

STEP 5

- Angle Bisector: An angle bisector divides an angle into two equal angles. Since $\overline{EH}$ is not dividing $\angle DEH$ into two equal angles, it is not an angle bisector.

STEP 6

- Altitude: An altitude is a perpendicular segment from a vertex to the line containing the opposite side. Since $\overline{EH}$ is perpendicular to $\overline{DE}$ , it fits the definition of an altitude.

STEP 7

- Perpendicular Bisector: A perpendicular bisector is a line that is perpendicular to a segment at its midpoint. There is no information given that $\overline{EH}$ bisects $\overline{DE}$ , so it is not a perpendicular bisector.
The term that best describes $\overline{EH}$ is:
$\boxed{\text{altitude}}$

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QuestionLearn with an example $\checkmark$ or Watch a video $\angle D E H$ is a right angle and $\overline{E F} \cong \overline{D E}$ .
Which term describes $\overline{E H}$ ? median angle bisector altitude perpendicular bisector Submit

Studdy Solution

STEP 1

1. $\angle DEH$ is a right angle, meaning it measures $90^\circ$ .
2. $\overline{EF} \cong \overline{DE}$ indicates that these segments are equal in length.
3. We need to determine which term best describes $\overline{EH}$ .

STEP 2

1. Understand the properties of the given geometric configuration.
2. Analyze each term to see which one fits the description of $\overline{EH}$ .

STEP 3

Recognize that $\angle DEH$ being a right angle implies that $\overline{EH}$ is perpendicular to $\overline{DE}$ .

STEP 4

Let's analyze each term:
- Median: A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Since $\overline{EH}$ is not described as connecting to a midpoint, it is not a median.

STEP 5

- Angle Bisector: An angle bisector divides an angle into two equal angles. Since $\overline{EH}$ is not dividing $\angle DEH$ into two equal angles, it is not an angle bisector.

STEP 6

- Altitude: An altitude is a perpendicular segment from a vertex to the line containing the opposite side. Since $\overline{EH}$ is perpendicular to $\overline{DE}$ , it fits the definition of an altitude.

STEP 7

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QuestionLearn with an example ✓\checkmark✓ or Watch a video ∠DEH\angle D E H∠DEH is a right angle and EF‾≅DE‾\overline{E F} \cong \overline{D E}EF≅DE.Which term describes EH‾\overline{E H}EH ? median angle bisector altitude perpendicular bisector Submit

Studdy Solution

STEP 1

1. ∠DEH\angle DEH∠DEH is a right angle, meaning it measures 90∘90^\circ90∘.2. EF‾≅DE‾\overline{EF} \cong \overline{DE}EF≅DE indicates that these segments are equal in length.3. We need to determine which term best describes EH‾\overline{EH}EH.

STEP 2

1. Understand the properties of the given geometric configuration.2. Analyze each term to see which one fits the description of EH‾\overline{EH}EH.

STEP 3

Recognize that ∠DEH\angle DEH∠DEH being a right angle implies that EH‾\overline{EH}EH is perpendicular to DE‾\overline{DE}DE.

STEP 4

Let's analyze each term:- **Median**: A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Since EH‾\overline{EH}EH is not described as connecting to a midpoint, it is not a median.

STEP 5

- **Angle Bisector**: An angle bisector divides an angle into two equal angles. Since EH‾\overline{EH}EH is not dividing ∠DEH\angle DEH∠DEH into two equal angles, it is not an angle bisector.

STEP 6

- **Altitude**: An altitude is a perpendicular segment from a vertex to the line containing the opposite side. Since EH‾\overline{EH}EH is perpendicular to DE‾\overline{DE}DE, it fits the definition of an altitude.

STEP 7

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionLearn with an example $\checkmark$ or Watch a video $\angle D E H$ is a right angle and $\overline{E F} \cong \overline{D E}$ .
Which term describes $\overline{E H}$ ? median angle bisector altitude perpendicular bisector Submit

1. $\angle DEH$ is a right angle, meaning it measures $90^\circ$ .
2. $\overline{EF} \cong \overline{DE}$ indicates that these segments are equal in length.
3. We need to determine which term best describes $\overline{EH}$ .

1. Understand the properties of the given geometric configuration.
2. Analyze each term to see which one fits the description of $\overline{EH}$ .

Recognize that $\angle DEH$ being a right angle implies that $\overline{EH}$ is perpendicular to $\overline{DE}$ .

Let's analyze each term:
- Median: A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Since $\overline{EH}$ is not described as connecting to a midpoint, it is not a median.

- Angle Bisector: An angle bisector divides an angle into two equal angles. Since $\overline{EH}$ is not dividing $\angle DEH$ into two equal angles, it is not an angle bisector.

- Altitude: An altitude is a perpendicular segment from a vertex to the line containing the opposite side. Since $\overline{EH}$ is perpendicular to $\overline{DE}$ , it fits the definition of an altitude.