Practical Geometry

What is the result of rotating a line $180^\circ$ around a point that is not on the line?

If the alternate interior angles on a transversal are equal, the lines are parallel. If they are $90^\circ$ each, the transversal is ______ to the lines.

In the alternate interior angle method, how many pairs of alternate interior angles are created by a transversal crossing two parallel lines?

If you are given three side lengths $a, b,$ and $c$, and you find that $a+b > c$, $b+c > a$, and $c+a > b$, you can conclude that:

Which information is sufficient to construct a triangle using the $SSS$ rule?

To construct $\triangle MNP$ with $MN=5 \text{ cm}, NP=6 \text{ cm}, MP=5 \text{ cm}$, the resulting triangle is:

The SAS criterion is used when we have:

In $\triangle ABC$, if we know $AB$ and $AC$, the angle $\angle A$ is called the:

If two sides are $5$ cm and $7$ cm, and the angle between them is $110^\circ$, the triangle is:

What is the side included between $\angle X$ and $\angle Z$ in $\triangle XYZ$?

Can a triangle be constructed with two angles of $90^\circ$ each?

If $\angle A = 25^\circ$ and $\angle B = 25^\circ$ in $\triangle ABC$, what type of triangle is it?

To construct a right-angled triangle using RHS, if the hypotenuse is $x$ and the side is $y$, which is true?

In $\triangle LMN$, $\angle M = 90^{\circ}$, $LN = 5$ cm, $MN = 3$ cm. If $MN$ is the base, then the arc of $5$ cm is drawn from vertex:

What is the second step in constructing $\triangle PQR$ where $\angle Q = 90^{\circ}$, $QR = 3$ cm and $PR = 5$ cm?