Question

Geometry Basics Unit Test 1 of 151 of 15 Items Question Use the image to answer the question. What is the precise definition of the figure in the image? (1 point) Responses a line that intersects another line at a 90-degree angle a line that intersects another line at a 90-degree angle a straight figure that has no thickness and extends infinitely in two opposite directions a straight figure that has no thickness and extends infinitely in two opposite directions a part of the circumference of a circle or other curve that measures the distance between two points on a curve a part of the circumference of a circle or other curve that measures the distance between two points on a curve a straight line that always remains the same distance from another line and, therefore, never intersects it a straight line that always remains the same distance from another line and, therefore, never intersects it

Answer 1

To provide the precise definition of the figure in the image, I would need to know what the figure looks like. However, based on the options you've given, I can explain each of them:

1. **A line that intersects another line at a 90-degree angle** - This describes a perpendicular line or lines.

2. **A straight figure that has no thickness and extends infinitely in two opposite directions** - This describes a line.

3. **A part of the circumference of a circle or other curve that measures the distance between two points on a curve** - This describes an arc.

4. **A straight line that always remains the same distance from another line and, therefore, never intersects it** - This describes parallel lines.

If the figure in the image is a line, the correct response would be "a straight figure that has no thickness and extends infinitely in two opposite directions."

If you can specify what the figure looks like, I can help you determine the correct definition!

Answer 2

Consider the following statement: A trapezoid is a four-sided figure with one set of parallel lines. Enter 1 if the statement is a conjecture. Enter 2 if the statement is a definition. Enter 3 if the statement is a theorem. (1 point)

Answer 3

The statement "A trapezoid is a four-sided figure with one set of parallel lines" is a definitive description of a trapezoid. Since it establishes the identity of what a trapezoid is, it is considered a **definition**.

Therefore, you should enter **2** for this statement.

Answer 4

Question Use the image to answer the question. Thuy examines the figure in the image. She needs to determine if NO¯¯¯¯¯¯¯¯ is a copy of PQ¯¯¯¯¯¯¯¯ . What must she do to show that NO¯¯¯¯¯¯¯¯ is a constructed copy of PQ¯¯¯¯¯¯¯¯ ? (1 point) Responses She must measure the distance from point M to point N using a compass and place the compass on point P to see if point M is the same distance. She must measure the distance from point upper M to point upper N using a compass and place the compass on point upper P to see if point upper M is the same distance. She must measure the distance from point O to point Q using a compass and place the compass on point P to see if point N is the same distance. She must measure the distance from point upper O to point upper Q using a compass and place the compass on point upper P to see if point upper N is the same distance. She must measure the distance from point M to point Q using a compass and place the compass on point M to see if point O is the same distance. She must measure the distance from point upper M to point upper Q using a compass and place the compass on point upper M to see if point upper O is the same distance. She must measure the distance from point N to point O using a compass and place the compass on point P to see if point Q is the same

Answer 5

To determine if line segment \( \overline{NO} \) is a constructed copy of line segment \( \overline{PQ} \), Thuy will need to confirm that the lengths of the segments are identical.

The correct approach would be for her to measure the length of \( \overline{PQ} \) using a compass and then transfer that measurement to point \( P \) to see if the length from \( P \) to the newly measured point corresponds to segment \( \overline{NO} \).

Thus, the appropriate response would be:

**She must measure the distance from point \( O \) to point \( Q \) using a compass and place the compass on point \( P \) to see if point \( N \) is the same distance.**

This option ensures that the length of the segment \( NO \) is checked against the segment \( PQ \).