One can prove congruence through transformation if they have the same shape and size.
The congruency postulates include:
- SSS - Side-Side-Side
- SAS - Side-Angle-Side
- ASA- Angle-Side-Angle
- AAS - Angle-Angle-Side
- RHS - Right angle-Hypotenuse-Side
<h3>What is congruence?</h3>
In geometry, it should be noted that two figures are congruent if they have the same shape and size.
In this case, if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.
One can prove triangle congruence using congruency postulates by using the SSS theorem( side side side theorem).
It should be noted that the congruence postulate is used to illustrate that the triangles are equal.
Learn more about congruence on:
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Explanation:
All of these are done the same way.
1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.
2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".
3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".
4. A line through the original point and point R will be perpendicular to the line, as you want.
_____
In problem 1, the point and line are obvious.
In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)
Answer is -23
Explaination:
-9z is the same thing as -9 times x, and we need to use the inverse operation to isolate the variable. So we would divide -9 on both sides, -9 divided by -9 is 0 and -207 divided by -9 is 23.
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