Answer:
R3 Theorem: If parallel lines are cut by a transversal, then alternate interior angles are congruent.
R4 Theorem: Congruence of segments is reflexive.
S5 ΔABC ≅ ΔCDA
Answer:
Option D.
Step-by-step explanation:
- First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
- Next, we know that the formula for calculating the area of a right angled triangle is given by:
A = 1/2 (base × perpendicular height)
- The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
- Therefore, the formula will be:
A = 1/2 (x.x)
=1/2 (x²)
32 = 1/2 (x²)
Multiplying both sides by 2 gives:
32×2 = x²
64 = x²
8 = x
To find the third side, we use the Pythagoras theorem:
C² = A² + B²
= 8² + 8²
= 128
C = √128
= 8√2
However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)
Repeating the steps above gives C = √ (16)² + (16)²
= √256
This corresponds to option D.
The answer is A.
The equation simplifies to y=3x+50.
So, C is already not an option.
Now we just plug in points to see if the point works for the equation.
A-11=3(-13)+50
11=-39+50
11=11
Thus, this point falls on the line of this equation and is a point.
So, the answer is A.
I hope this helps!
