Which of the following steps is INCORRECT while constructing a quadrilateral KITE, given that Kl = 9 cm, IT = 6 cm, KE = 5 cm, diagonal KT = 14 cm and diagonal IE = 6 cm ?
Step 1. Draw KI = 9 cm.
Step 2. With Kand I as centres and 5 cm and 6 cm as radii respectively, draw arcs to cut each other at E.
Step 3. Join KE and IT. With K and I as centres and 14 cm and 6 cm as radii, respectively, draw arcs to cut each other at T.
Step 4. Join KT and IE. Join TE also. KlTE is the required quadrilateral.

Options

A. Only step 1
B. Both step 2 and step 3
C. Only step 3
D. Both step 3 and step 4

Answer

To determine which step is incorrect in constructing the quadrilateral kite KITE, let's analyze each step systematically.

### Step-by-Step Solution:

**Step 1:** Draw KI = 9 cm.
- This step is correct as it establishes one side of the kite.

**Step 2:** With K and I as centers and 5 cm and 6 cm as radii respectively, draw arcs to cut each other at E.
- This step is also correct. We are using the lengths KE = 5 cm and IE = 6 cm to find point E.

**Step 3:** Join KE and IT. With K and I as centers and 14 cm and 6 cm as radii, respectively, draw arcs to cut each other at T.
- Here, we notice an issue. The instruction to "join KE and IT" is misleading because point T has not been defined yet. The point T should be constructed by drawing arcs from K and I, but the mention of IT is premature as we have not yet established where T is located.

**Step 4:** Join KT and IE. Join TE also. KITE is the required quadrilateral.
- This step is also incorrect because it refers to joining KT before T has been properly defined in the previous step.

### Conclusion:
The incorrect steps are primarily in **Step 3** where the mention of joining IT is out of context, as point T has not yet been established. Therefore, the error lies in the construction process, particularly in how the points are referenced before they are defined.