Question

find the length.

1. find ac. a 6 b 12 c
2. find mn. m 14 n 8 o
3. find xz. x 134 y 61 z
4. find qr. q 18.4 r 14.2 s

plot the points in a coordinate plane. then draw segments $overline{ab}$, $overline{cd}$, $overline{ef}$, and $overline{gh}$. determine which pair of segments are congruent.

1. a(-3, 3), b(3, 3), c(-3, 1), d(2, 1), e(4, 2), f(4, -4), g(-1, 0), h(-1, -4)
2. a(-4, 2), b(-4, -2), c(-1, 3), d(-1, -3), e(2, 3), f(2, -2), g(-3, -3), h(3, -3)
3. write an expression for ac. a 2x - 3 b x + 1 c
4. write an expression for fg. f 5x g 3x - 2 h
5. the height of the tree shown at the right is 32 feet. you climb the tree and cut a section off the top at the point shown. how tall is the part of the tree you cut off? 32 feet cut 25.5 feet

Explanation:

11.

Step1: Identify segment - addition postulate

The length of a line - segment with sub - segments is the sum of the lengths of those sub - segments. So, $AC=AB + BC$.

Step2: Substitute values

Given $AB = 6$ and $BC = 12$, then $AC=6 + 12$.

Step3: Calculate

$AC=18$.

Step1: Use segment - addition postulate

$MO=MN + NO$, so $MN=MO - NO$.

Step2: Substitute values

Given $MO = 14$ and $NO = 8$, then $MN=14−8$.

Step3: Calculate

$MN = 6$.

Step1: Apply segment - addition postulate

$XZ=XY + YZ$.

Step2: Substitute values

Given $XY = 134$ and $YZ = 61$, then $XZ=134 + 61$.

Step3: Calculate

$XZ=195$.

Answer:

$18$

12.