Q3. - Geometry

Question

Repeat exercise 2, but use 2 cm instead of 6 cm.

Step-by-Step Solution

Answer

a.

b.

c. The figure below represents the count of points with the same distance from the points $F$ and $T$ and a distance of 6 cm from the point $P$. The count is 0.

Part a. Step 1. Make the points P , F and T .

Part a. Step 2. Take the help of a ruler to draw the line.

Take a ruler on the side of the centimeter and use its side to make a point that has the same distance from $F$ and $T$ and the position of the point is between $F$ and $T$. After that, use that point to make a vertical line.

Part a. Step 3. Conclude by performing a checking.

Use the ruler and measure that the distance of the vertical line is equal between the points $F$ and $T$. The distance is equal, which means that the points present on the vertical line have equal distance from the points $F$ and $T$.

Part b. Step 1. Make the points P , F and T .

Part b. Step 2. Draw the required circle.

Take $P$ as the center point and make a circle having a radius of 2 cm. This can be done by opening the compass at the measurement of 2 cm. Then, make a rotation of 360 degrees by putting the needle of the compass at $P$.

Part b. Step 3. Conclude by performing a checking.

Use a ruler and measure that the distance of the point $P$ from the surface of the circle is 2 cm. The distance is 6 cm, which means that the radius of the circle is represented by 2 cm.

Part c. Step 1. Make the points P , F and T .

Part c. Step 2. Make a vertical line that contains all the points having the same distance from the points F and T .

Take the ruler from the centimeter side and use its side to make a point that has the same distance from $F$ and $T$ and the position of the point is between $F$ and $T$. After that, use that point to make a vertical line.

Part c. Step 3. Draw the circle with a radius of 6 cm by taking the point P as its center point.

Take $P$ as the center point and make a circle having a radius of 2 cm. This can be done by opening the compass at the measurement of 2 cm and then rotating it 360 degrees by putting the needle of the compass at $P$.

Part c. Step 4. Conclude by observing the diagram.

The diagram does not represent any point where the circle and the line are intersecting, which means the count of points have the same distance from the points $F$ and $T$ and the distance of 6 cm from the point $P$ is 0.