Q19 - Geometry

Question

Without measuring, sketch each angle. Then use a protractor to check your accuracy.

$90°$ angle

Step-by-Step Solution

Answer

The angle without measuring is

With protractor angle will be near about $\mathbf{90}\mathbf{°}$.

Step 1. Apply the protractor postulate.

$\overline{AH}$ in a given plane is considered.

Any point O between A and H is chosen.

Consider $\overline{OA}\text{\hspace{0.17em}\hspace{0.17em}and }\overline{OH}$ and all these rays are drawn from O on one side of $\overline{AH}$.

These rays’ results in pairing with the real numbers from 0 to 180 in such a way that:

The line $\overline{OA}$ is paired with 0, and $\overline{OH}$ with 180.

If $\overline{OB}$ is paired with x, and $\overline{OC}$ with y, then $m\angle BOC=\left|x-y\right|$.

Step 2. Sketch angle 90° without measuring.

Thus, the figure is shown below, have $\angle AOB={90}^{\circ }$.

Step 3. Superimpose the protractor to check the accuracy.

By taking a protractor and putting it over the $\angle AOB$. Superimpose the protractor’s $\overline{OA}$ line with the drawn angles $\overline{OA}$ line. Measure the angle by using the protractor postulate.