Answer:
C. ∆LMN ~ ∆OPQ, because of AA
Step-by-step explanation:
All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.
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<h3>congruence</h3>
No sides are given as congruent, so no congruences can be proved.
<h3>similarity</h3>
Two pairs of corresponding angles are said to be congruent, so we can say ...
∆LMN ~ ∆OPQ, because of AA
Answer:
15 inches
Step-by-step explanation:
As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:
2*Length + 2*Width = 45
Length = 2*Width
So using the value of length in the first equation, we have:
4*Width + 2*Width = 45
6*Width = 45
Width = 7.5
Length = 2*Width = 15
So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.
Answer:
8 units ^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
b = LK = 4 units
h = J to where LK would be extended to, which would be 4 units
A = 1/2 (4) * 4
A = 8 units ^2
Point f ends up being (-4,-5)
point d is (-5,-1)
and point e is (4,-1)