Congruent and Similar Triangles

Congruent and Similar Triangles: Level 2 Challenges


AB\overline{AB} is parallel to DE\overline{DE} , AC=5,AC=5, and CD=13.CD=13.

If the area of ABC\triangle ABC is 11,11, what is the area of CDE\triangle CDE ?

In the right triangle above, a height is drawn to the hypotenuse. Find x+y+z.x+y+z.

In the above diagram, ABCD\square ABCD is a square with side AD\overline{AD} extended to point EE, and BE\overline{BE} is a straight line. If the length of BC\overline{BC} is BC=a=30\lvert \overline{BC}\rvert = a=30 and CF=b=20,\lvert \overline{CF}\rvert =b= 20, what is the area of CEF?\triangle CEF?

The area of the red triangle is 25 and the area of the orange triangle is 49. What is the area of the trapezium ABCD?ABCD?

The figure shows an isosceles ABC \triangle ABC with AB=BC AB = BC . The line DE DE cuts AC AC extended at F F . If AD=5,CE=3, AD = 5, CE = 3, and EF=8, EF = 8, find DE DE .


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