Statements Reasons

1. BD 1 BC

1.

Given

2.

2. ZDBC is a right angle

3. mZDBC = 90°

3. Def. of a right angle

4. mZDBE + ZEBC = mZDBC

Angle addition postulate

Transitive

5. mZDBE + MZEBC = 90°

5.

6. ZABD = ZDBE

6.

7. m ZABD = mZDBE

7.

8. MZABD + m_EBC = 90°

8.

9. ABD and EBC are complementary

9. Def. of complementary

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.  

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734