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Using the definition of the Vertical shifts of graphs of the function :
"Suppose c>0,
To graph y=f(x)+c, shift the graph of y=f(x) upward c units.
To graph y=f(x)-c, shift the graph of y=f(x) downward c units"
Again we recall the definition of Horizontal shifts of graphs:
" suppose c>0,
the graph y=f(x-c), shift the graph of y=f(x) to the right by c units
the graph y=f(x+c), shift the graph of y=f(x) to the left by c units. "
consider is the parent function.
shifts the graph
upward by 8 units
shifts the graph
downward by 8 units
shifts the graph
left by 8 units
shifts the graph
right by 8 units.
Answer:
ΔJKL ≅ ΔMNO by SAS
Step-by-step explanation:
The question is incomplete, the question is as following:
ΔMNO is shown.
Which Δ below can be shown to be congruent to ΔMNO with only the given information?
Name the postulate that justifies your answer (SAS, AAS, HL, ASA or SSS).
Write the congruency statement for the triangles.
And see the attached figure which represent ΔMNO
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Check the given options to see which triangle from the option will be congruent to ΔMNO
1. In triangles MNO and ABC, there are two congruent sides and non-included angle - which mean (angle - side - side)
The (angle - side - side) Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent.
2. In triangles MNO and DEF, there are two congruent sides - there is not enough information
3. In triangles MNO and GHI, there are three congruent angles - which mean AAA (angle - angle - angle)
The AAA Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. This postulate is used to prove the similarity between the triangles.
4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS (side - angle - side)
MN ≅ JK , MO ≅ JL , ∠M ≅ ∠J
