Answer:
HL (hypotenuse leg)
Step-by-step explanation:
From the diagram, we have two sides that are congruent
The side QS is common to both triangles
Also, we have it that the side PS and QR are congruent
What this mean is that we have two sides that are already the same
Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles
Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another
Answer:
AC = 
Step-by-step explanation:
Here we have to draw the figure.
When the rectangle is folded A to C. we get a right triangle.
Here we have to use the Pythagorean theorem to find the side lenght of B.
The sides length of B is AC.
By the Pythagorean theorem, the sum of the squares of the sides is equal to the square of the hypotenuse.
Therefore,
AC^2 = AB^2 + BC^2
Taking the square roots on both sides, we get
AC = 
Answer:
Area of trapezoid is
.
Therefore, option 2nd is correct.
Step-by-step explanation:
We have been given both the sides a=3 and b=5.
And height that is h=4
We will use the formula find the area of trapezoid is:

Substitute the formula we get:


.
Area of trapezoid is
.
Therefore, option 2nd is correct.
Answer:
y = SQRT( x + 36 )
y = - SQRT( x + 36 )
Steps:
The 5 options you listed are unclear to me. But I provided the correct answer above.