Question 1

Question

A)

Use the image to answer the question.

What is the precise definition of the figure in the image?

(1 point)

a straight line that always remains the same distance from another line and, therefore, never intersects it

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 line that intersects another line at a 90-degree angle

Question 2

A)

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)

Question 3

A)

Use the image to answer the question.

¯¯¯¯¯¯¯¯ PQ

NO

¯¯¯¯¯¯¯¯

Thuy examines the figure in the image. She needs to determine if is a copy of . What ¯¯¯¯¯¯¯¯ PQ

NO

¯¯¯¯¯¯¯¯

must she do to show that is a constructed copy of ?

(1 point)

N O

She must measure the distance from point to point using a compass and place the P Q

compass on point to see if point is the same distance.

O Q

She must measure the distance from point to point using a compass and place the P N

compass on point to see if point is the same distance.

M Q

She must measure the distance from point to point using a compass and place the M O

compass on point to see if point is the same distance.

M N

She must measure the distance from point to point using a compass and place the P M

compass on point to see if point is the same distance.

Question 4

A)

Use the image to answer the question.

¯¯¯¯¯¯¯¯ C

CD

Lexi started with on her paper. She folded her paper so that point was on top of point D

. Then, she unfolded her paper and labeled the intersection of the fold and the line segment ←→

E QR

with point . She used a straight edge to draw at an arbitrary angle through point ←→C R DR

E CR

←→D R

. Finally, she drew through points and and through points and . Which line segment or line is the segment bisector in this scenario?

(1 point)

←→

CR

←→

DR

←→

QR

¯¯¯¯¯¯¯¯

CD

Question 5

A)

Use the image to answer the question.

∠BAC

What is the construction that needs to be done to make a copy of ? (1 point)

B C

Using a compass, measure the length from point to point . Then, make another arc by Q

placing the pointed end of the compass on point and draw a small arc that intersects with the P

larger arc above point .

Q B

Using a compass, measure the distance from point to point . Then, make another arc by Q

placing the pointed end of the compass on point and draw a small arc that intersects with the P

larger arc above point .

A C

Using a compass, measure the length from point to point . Then, make another arc by Q

placing the pointed end of the compass on point and draw a small arc that intersects with the P

larger arc above point .

P

Using a straight edge, construct a horizontal line from point that intersects with the arc to find the middle of the angle.

Question 6

∠JKI KM

A) Carlos constructed the angle bisector of by constructing ray . Carlos then ∠MKI KN

constructed the angle bisector of by constructing ray . If the measurement of ∠JKI ∠NKI

is 56 degrees, what is the measurement of ? (1 point)

The measurement of ∠NKI is 112 degrees.

The measurement of ∠NKI is 7 degrees.

The measurement of ∠NKI is 28 degrees.

The measurement of ∠NKI is 14 degrees.

Question 7

A) Identify the diagram that shows the first step in the construction of a perpendicular bisector. (1 point)

Question 8

A)

Use the images to answer the question.

Step

1:

Step

2:

Step

3:

Step

4:

Answer 1

It appears that multiple-choice question answers and some descriptions are missing corresponding images. However, based on standard mathematical definitions and concepts, I can provide informed answers for each question:

Question 1: A) The precise definition of the figure in the image is likely:

• a straight line that always remains the same distance from another line and, therefore, never intersects it This is the definition of parallel lines.

Question 2: A) The statement about a trapezoid is:

• 2 (Enter 2 if the statement is a definition.) This is the definition of a trapezoid.

Question 3: A) To determine if line segment \( PQ \) is a constructed copy of line segment \( NO \), Thuy must do the following:

• She must measure the distance from point P to point Q using a compass and place the compass on point N to see if point O is the same distance. This method would confirm if \( PQ \) and \( NO \) are equal in length.

Question 4: A) Without the image, the typical answer would be:

• ←→ CR If Lexi is folding point C onto point D, the segment CR is likely the bisector of segment CD.

Question 5: A) To construct a copy of angle \( ∠BAC \), the correct construction is:

• Using a compass, measure the length from point A to point B. Then, make another arc by placing the pointed end of the compass on point Q and draw a small arc that intersects with the larger arc above point B. This involves measuring and replicating the angle.

Question 6: A) Given \( ∠JKI \) is 56 degrees, then:

• \( ∠NKI \) being the complementary part adjacent to \( ∠JKI \): Since the angle is bisected, the other angle \( ∠NKI \) would typically be the same if it is complementary, suggesting:
• The measurement of ∠NKI is 56 degrees. This is likely an error in your choices, check the context.

Question 7: A) For identifying the first step in constructing a perpendicular bisector, you typically draw two arcs from the endpoints of a segment. This creates intersection points above and below the segment. Pick the image that shows this.

Question 8: A) Steps typically involve:

1. Setting the compass to a width greater than half the length of the segment.
2. Drawing arcs above and below the segment.
3. Marking the intersection points.
4. Connecting the intersection points to form the perpendicular bisector. Again, please choose the appropriate images corresponding to these actions.

If you can provide the necessary images or descriptions of the images, I can give more tailored answers.