4.use the diagram to the right to name the following
a) the intersection of line 1 and m
b) another name for plane q
c) are point d and e collinear or coplanar
d) how many times to plane p and q intersects?

A. E

B. FEI, FGI, EGI

C. collinear

D. 0 times

Step-by-step explanation:

A. Lines m and l intersect at point E (the point which lies on both lines, in other words their common point)

B. A plane can be named using three points which do not li on the same line, so another name for the plane Q is FEI, FGI or EGI

C. Coplanar points are three or more points that lie on the same plane, collinear points are two or more points that lie on the same line. Two points D and E are collinear.

D. Parallel planes never intersect, so there are 0 times for planes P and Q to intersect.

step-by-step explanation: yes

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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