Construct the following quadrilaterals.
Rhombus
BEST
BE=4.5cm
ET=6cm

Answer

To construct the rhombus BEST with the given measurements, follow these steps:

### Step-by-Step Solution:

**Step 1: Draw the diagonal ET.**
- Use a ruler to draw a line segment ET that measures 6 cm. Label the endpoints as E and T.

**Step 2: Find the midpoint of ET.**
- Measure the length of ET (which is 6 cm) and find the midpoint. This point will be labeled as O. Since the total length is 6 cm, the midpoint O will be at 3 cm from either E or T.

**Step 3: Draw arcs to locate points B and S.**
- Set your compass to a radius of 4.5 cm.
- Place the compass point on E and draw an arc above and below the line ET.
- Without changing the radius, place the compass point on T and draw another arc above and below the line ET.

**Step 4: Mark points B and S.**
- The intersections of the arcs drawn from E and T will give you two points. Label the upper intersection as B and the lower intersection as S.

**Step 5: Connect the points to form the rhombus.**
- Use a ruler to connect the points B to E, E to T, T to S, and S back to B. This will complete the rhombus BEST.

### Final Figure:
You should now have a rhombus BEST where:
- BE = 4.5 cm
- ET = 6 cm
- ES = 4.5 cm
- ST = 4.5 cm
- All sides are equal, confirming the properties of a rhombus.

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