Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
- DC=DE
- DF is a common side
So, the two triangles are congruent. It follows that CF=FE, and in particular

And since x=3, the length of EF is

Answer:
option 2
Step-by-step explanation:
consider the coordinates A (- 3, 4 ) and A' (- 1,
)
since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.
scale factor =
=
=
and
= 
similarly B (1, - 2 ) and B' (
, -
)
=
and
= 
Answer:
Irrational Number
Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.
Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.
5² + 6² = 25 + 36 = 61
And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.
Answer:
Need a picture of the problem.
Step-by-step explanation: