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Georgia [21]
3 years ago
14

Complete the following chart to summarize the different ways to prove triangles are congruent

Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:

<u>SAS congruency:</u>

example---- figure attached.

<u>ASA congruency:</u>

What it says--- If any two angles and the included side are the same in both triangles, then the triangles are congruent.      

Information required---- two pair of congruent triangles and one corresponding sides.

example----figure attached.

<u>AAS congruency:</u>

What it says----if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

Information Required----Two angles and a non-included side are congruent.

example---- figure attached.

<u>HL congruency:</u>

What it says---- When two right triangles have corresponding sides that are congruent , the triangles are congruent.

Information required---- two right triangles and the sides are congruent.

Example--- figure attached.



           



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The girls in Karen’s family own a total of 46 T-shirts. The oldest, Heidi, has 18 T-shirts. Karen has six times as many T-shirts
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Heidi has 18 shirts
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Karen has 24 shirts

Check:
24+4+18=46
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7 0
3 years ago
Please help, you don't have to show your work. Like at all.
elixir [45]

The slope of the line is -2.

Solution:

Given points are (-3, -7) and (2, -17).

Here x_1=-3, y_1=-7, x_2=2, y_2=-17

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-17-(-7)}{2-(-3)}

$m=\frac{-17+7}{2+3}

$m=\frac{-10}{5}

m = -2

The slope of the line that passes through the pair of points is -2.

3 0
3 years ago
Which of the following is the equation of the line that is perpendicular to y=−18x−2 and goes through the point (-2,-3)?
Irina-Kira [14]
Given that the equation of the line is:
y=-18x-2
the equation is in the form of y=mx+c, where m is the slope. Thus the slope of equation is -18. The line perpendicular to this equation has a slope of 1/18, hence the equation will be given by the formula:
m(x-x1)=y-y1
given that the line passes through point (-2,-3) the equation of the line will be:
1/18(x--2)=y-(-3)
1/18(x+2)=y+3
simplifying this gives us:
y=1/18x+1/9+3
y=1/18x6+3 1/9
5 0
4 years ago
9 pencils cost <br> $7.74 Which equation would help determine the cost of <br> 6 pencils?
Anna11 [10]

Answer:

A

Step-by-step explanation:

Whatever you do to get from 9 to 6 is also done to7.74.

6 0
3 years ago
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