Constructing a line segment | Practical Geometry | Assessment | English | Grade 6

Which option shows a line segment having length 6.5 cm?

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Answer explanation

A line segment has two distinct points and its length is fixed. In option 2, the distance between points O and P is shown correctly. Hence, OP is a line segment of length 6.5 cm.

Tags

CCSS.4.MD.C.6

Given are the two line segments. Draw a line segment having length equal to the difference of the given lengths. Click 'Yes' after completing the construction.

• Yes

• No

Answer explanation

Steps of construction: 1. Draw a line m. 2. Draw a line segment AC of length 7 cm on the line m. 3. Draw a line segment AB of length 4.5 cm on the line m. 4. Since, AC - AB = BC, hence, the line segment BC gives the required difference. Measure the length of line segment BC using ruler. It comes out to be 2.5 cm.

Tags

CCSS.2.MD.A.3

Construct a line segment AB of length 7.2 cm. From this, cut off another line segment AC of length 5.4 cm. What will be length of BC?

• 2.8 cm

• 1.8 cm

• 12.6 cm

• 13.6 cm

Answer explanation

Steps of construction: 1. Draw a line n. 2. Draw a line segment AB of length 7.2 cm on the line n. 3. Draw a line segment AC of length 5.4 cm on the line n. 4. When we cut the line segment AC from line segment AB, the remaining part is CB. Measure the length of CB using ruler. It comes out to be 1.8 cm.

Tags

CCSS.2.MD.B.5

Draw AB of length 3.4 cm. Draw a line segment PQ such that such that the length of PQ is twice that of AB. Did you complete this construction?

• Yes

• No

Answer explanation

Steps of construction: 1. Draw a line m. Take a point A on it. 2. Open the compasses for the distance of 3.4 cm. 3. Put the pointer on A and mark an arc that cut the line m at B. The length of line segment AB is 3.4 cm by construction. 4. Draw a line n. Take a point P on it. 5. Open the compasses for the distance equal to length of AB. 6. Keep the pointer on P and mark an arc that meets the line n at point Q'. 7. Without changing the opening in the compasses, keep the pointer on Q' and mark another arc that meets line n at point Q. 8. PQ is the required line segment which has twice the length as that of AB.

Tags

CCSS.4.MD.C.6

Draw a line segment PQ without measuring the length. Draw another line segment AB which is a copy of the line segment PQ without measuring the length. Did you complete this construction?

• Yes

• No

Answer explanation

Steps of construction: 1. Draw a line segment PQ without measuring length. 2. Draw a line m. 3. Take a point A on it. 4. Place the pointer of compasses on P. Adjust the opening such that it becomes equal to PQ. 5. Without changing the setting of compasses, place the pointer on A and draw an arc that meets line n at point B. 6. Line segment AB is the copy of line segment PQ.

Tags

CCSS.2.MD.A.3