Here's a visual representation. The numbers are a little blurry though.
Answer:
Perimeter=42cm
Step-by-step explanation:
It is given that AC is the angle bisector of the trapezoid ABCD which divides the trapezoid into two similar triangles that are △ABC and △ACD.
Now, it is also given that AB=9cm and CD=12cm.
Since, it is a trapezoid, then AB will be parallel to CD, thus
∠BAC=∠DCA (Alternate angles)
Also, it is given that ∠DAC=∠BAC
⇒∠DAC=∠DCA
Also, ∠ACD=∠ACB( Angle bisector)
Therefore, If the angles are equal, then the corresponding sides will also be equal. Hence, △ABC and △ACD are isosceles triangle, therefore
AB=BC=9cm and CD=AD=12cm
Now, the perimeter of trapezoid is the sum of all the four sides of the trapezoid, therefore
Perimeter=AB+AD+CD+BC
Perimeter=9+9+12+12
Perimeter=42cm
Answer:
If you take the rectangle with the geometric center O. Match the sides of opposite triangles. AB will be equal to CD and AC is equal to BD. Angles AOB is equal to the angle COD and angle AOC is equal to angle BOD.
The two diagonals bisect each other and therefore each all parts of the diagonal are equal.
Therefore the two diagonals are congruent.
Answer:
y=(x-4)^2+0
Step-by-step explanation: