Can you please help me with some definitions from Geometry?! It's proving statements in Geometry For each word or expression in Column 1 indicate the letter of the matching definition or...
Can you please help me with some definitions from Geometry?!
It's proving statements in Geometry
For each word or expression in Column 1 indicate the letter of the matching definition or explanation in column 2:
I really hope you understand the way i wrote them out, i couldn't find the symbols so i wrote them out in parenthesis. I also did some of them, I wrote the letters next to them, PLEASE help me with the rest!!
2.)R,ST are collinear points such that RS=ST
(with a line above RS and ST)
3.)AB + BC =AC(with a line above AB, BC, and AC)
4.)a=b : b=a A
5.)A =b , b=c, then a=c C
6.)m<1 = m<2 : then <1 is congruent to <2
7.)M<1 + m<2 ; then 2m<1 = m<1 +m2
8.)ACB and DCE intersect: M<ACE=90
( with a <---> above ACB and DCE)
9.)a=b and c=d : then a-c = b-d B
A. symmetric axiom
d.definition of congruence
e.definition of perpendicular
i.defintion of midpoint
I'll give this a shot, though Geometry was a long time ago. If you want to, you can message me to talk about anything you think may be wrong.
First, I believe that #9 should be H instead of B. The subtraction postulate says "If equal quantities are subtracted from equal quantities, the differences are equal." That's what you have going on in #9.
For ones you didn't try:
#2: I -- because they are all collinear and the two segments are congruent. S must be midway between R and T.
#8: E -- if two lines cross and make a right angle, they're prependicular.
1) a=a is reflexive property.
2)R, ST. R is point collenear with the line ST and RS=ST implies S is the midpoint of RT
3)AB+BC=AC. The line segments AB and BC are added to get the line segment AC.
4)If a=b, then b=a . Both a and b are symmetric
5)a=b, b=c, then a=c is the definition of transitive property.
6)m<1=m<2.Since angle 1 and angle2 are equal, have the congruent property.
7)M<1 + m<2 ; then 2m<1 = m<1 +m2. Substituted the M<1 by m<1 and m<2 bym2 .Then sunbstited m2 by m<1.
8)ACB and DCE intersect: M<ACE=90
The line segment ACB and DCE intersect at the point C making an angle ACE =90 degree.
9)a=b and c=d : then a-c = b-d B.
If we subtract (2) from (1), we get: a-c= b-d.
Considering the above reasons, the matching is as follows:
(1) f, (2) i, (3) g, (4) a, (5) c, (6) d, (7) b, (8) e, and (9) h.