In the following figure, ABCD is a trapezoid and CDEF is a square such that F is on AB. If BF measures 5 units and FA measures 2 units, calculate the measure of AD.
The trapezoid stands tall and proud,
With
parallel sides, it calls aloud.
Its height is long, and oh so high,
With angles meeting, it can't deny.
A square then comes to claim
its place,
On the trapezoid's height, with great grace.
Their
meeting point, they both have found,
And two right triangles now
abound.
Their congruence is plain to see,
With sides and
angles, all agreed.
The hypotenuses are the same,
And their
measurements, all quite tame.
In geometry, this congruence is
grand,
It helps us measure, plot, and plan.
We use it to build,
create, and design,
In all aspects, of our earthly shrine.
So
let us remember this tale so true,
Of a trapezoid and square,
together anew.
With congruent triangles, all in their place,
Geometry's beauty, we can embrace.
If you're interested in finding more poems with a focus on geometry, you may enjoy this collection: More geometry thematic poems.
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