While making a sketch for art class, Justin drew the shape shown and then wanted to make sure the triangles were perfectly congruent. After labeling the figure, he used a ruler and found that DF and GE bisect each other at point H.
Which of the following could Justin use to prove ∆DEH ≅ ∆FGH?
A. SAS
B. SSA
C. definition of perpendicular bisector
D. alternate interior angles are congruent
Answers
The two triangles have a pair of corresponding sides as well as the
included angles between them that are equal.
Justin could prove that ΔDEH ≅ ΔFGH by A. SAS
Reason:
The known information are;
DF bisects GE, therefore; GH = EH
GE bisects DF, therefore; DH = FH
∠DHE = ∠FHG by vertical opposite angle theorem
Therefore;
DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH
∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH
Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.
Therefore;
ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem
Learn more here:
https://brainly.com/question/14418374
The answer would be SAS
Step-by-step explanation: SAS
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[tex]\rule[225]{225}{2}[/tex]
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}
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Answers
Answer:
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Step-by-step explanation:
See attached graph of y = 6.5x+75.5
plotting the graph
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or 10 across / 65 down is another way to graph, as seen on graph.
m = 10/65 = m = 2/13
2 x 5 = 10
13 x 5 = 65