ABCD ≅ FGHJ. Find the measure of the given angles or lengths of the given sides. CD = 2x + 3; HJ = 3x + 2.
1 answer:
The question asks for the length of CD and HJ. To find those, we need to find a connection between them.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:
Subtract 2x from both sides:
Subtract 2 from both sides:
If x is 3, plug it in:
Simplify:
So, HJ is 11. And because HJ ≅ CD, CD is 11 too.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:
Subtract 2x from both sides:
Subtract 2 from both sides:
If x is 3, plug it in:
Simplify:
So, HJ is 11. And because HJ ≅ CD, CD is 11 too.
You might be interested in
It must be true that a implies c, because of the transitive property.
If a is true, then b is true as well. But every time b is true, c is true as well.
So, "jumping" over b, we have that if a is true, c is true as well.
Think of this example:
- a: I live in Rome
- b: I live in Italy
- c: I live in Europe
It is true that , because Rome is inside Italy, and similarly
, because Italy is a European state.
So, if I live in Rome, I must live in Europe as well.