1. Given triangle ACB is a right triangle. Altitude CD is drawn to hypothenuse AB. Prove that triangle CDB is similar to triangle ADC. Use two-column proof.
2.The sides of two similar triangles are in the ratio 1:4. Explain whether each statement is true or false.
a). The sides in the larger triangle is four time as large as the area of the smaller triangle.
b). The area of the larger triangle is four time as larger as the area of the smaller triangle.
c). The angles in the larger triangles are four time as large as those in the smaller triangle.
d). The perimeter of the larger triangle is four times that of the smaller triangle.