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.
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