Recall that t<span>wo shapes are said to be congruent if the lengths of the sides and the angles are the same.
For triangle A B C to be congruent to triangle D E F, then A B = D E, A C = D F and B C = E F
Also, the triangle D E F is a result of a rigid body translation of the triangle A B C.
Given that A is at point (1, 0) and D is at point (-1, 0), also given that B is at point (-1, 2) and E is at point (1, -2).
</span><span>It can be seen that points D E is a result of refrecting points A B
across the y-axis and then the x-axis.
</span><span>Thus, given point C as (2, 3),
refrection of point C across the y-axis will result in point (-2,
3) and then reflecting the resulting point across the x-axis will
result to point (-2, -3).
</span>Therefore, the coordinate for 'F' that would make triangle A B C and triangle D E F congruent is (-2, -3).
Hi there!
<u><em>FACT</em></u><em>:</em>
<em>What you have there is an equilateral in which all three internal angles are congruent to each other and are each 60°.</em>
<u>STEPS TO ANSWER:</u>
I'm not really sure if you are looking for the value of "X" the angle or the value of "x" that is part of the expression that represents the value of the angle "Z".
1. If you are looking for the value of "X" the angle, it's pretty easy knowing that all internal angles are equal to 60°.
Your answer for the value of "X" the angle would be : X = 60°.
2. If you are looking for the value of the "x" that is part of the expression that represents the value of the angle "Z", you'll need to write this expression as equal to 60 and solve the equation by isolating "x" :
2x <u>- 4</u> = 60
Add 4 on each side of the equation → 60 + 4 = 64
<u>2</u>x = 64
Divide each side of the equation by 2 → 64 ÷ 2 = 32
x = 32
Your answer for the value of the "x" that is part of the expression that represents the value of the angle "Z" would be : x = 32.
There you go! I really hope this helped, if there's anything just let me know! :)
28 .to explain they want to know the missing side and the triangles are equal to each-other just one is projected smaller than the other . So the one with 16 16 and 24 is the smaller one . The difference between 24-16 is 8 . And In the bigger one the sides 20 and 20 where given so since the smaller one is equal to the bigger one you just do 20+8=28
Yes they can if 7 + 7 equals more then 11 the. The answer is yes
The area is 84.
What I do it cut the polygon into something easier like a square and rectangle.
Rectangle: 6•12=72
Square: 4•3=12
Add them together and you have 84
