4/3 • 5/3 = 20/9 divided by 2 = 10/9
You can see that 2 sides are equal and the angle between these 2 sides So its SAS
Answer:
D. AC ≅ DF
Step-by-step explanation:
According to the AAS Theorem, two triangles are considered congruent to each other when two angles and a mon-included side of one triangle are congruent to two corresponding angles and a corresponding non-included side of the other.
Thus, in the diagram given:
<A and <B in ∆ABC are congruent to corresponding angles <D and <E in ∆DEF.
The only condition left to be met before we can conclude that both triangles are congruent by the AAS Theorem is for a mon-included side AC to be congruent to corresponding non-included side DF.
So, AC ≅ DF is what is needed to make both triangles congruent.
Given coordinates of the triangle RST are R(2,1), S(2,-2) and T(-1,-1).
Center of center of dilation is (2,-2).
Because center of dilation is (2,-2) so the coordinates of dilated image S(2,-2) would stay same.
Now, we need to apply rule for dilation with the scale factor 5/3.
<em>Each of R(2,1), and T(-1,-1) would be and R' and T' would be in ratio 5/3.</em>
<em>We will extend RS to 5 units and TS also 5 units.</em>
The new resulting image would be dilated triangle by a scale factor 5/3.
New coordinates would be
R'(2,3), S'(2,-2) and T'(-3,-2)
When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number (disregarding the signs). In this case the largest number is 40 and its sign is positive. Your answer will have a positive sign.
40 + (-11) = 29
Hope this helped!
~Just a girl in love with Shawn Mendes
