Hey There! Whoever we see the keyword “of”, we know that it’s multiplication Therefore we’re multiplying 1/3 and 7/1 that gives us 7/3
Which method would you use to prove that the two triangles are congruent?
2 answers:
Answer: The correct option is (A) SAS.
Step-by-step explanation: We are given to select the method that would be used to prove that the two triangles are congruent.
Let us name the given triangles as ABC and EBD as shown in the attached figure below.
Then, according to the given information, we have
Also, ∠ABC and ∠EBD are vertically opposite angles, so they must have equal measures.
That is,
So, in triangles ABC and EBD, we have
That is, two sides and the included angle of one triangle are congruent to the corresponding two sides and the included angle of the other triangle.
Therefore, by side-angle-angle postulate, the two triangles are congruent.
Thus,
ΔABC ≅ ΔEBD (SAS postulate).
Option (A) is CORRECT.
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Scale factor is a ratio. The correct option is C.
<h3>How are scale drawings formed?</h3>For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
The length of AB can be written as,
AB = √[(1-4)²+ (1-1)²]
AB = 3
Since the length A'B' is 6 units, therefore, the scale factor will be,
Scale factor = (Length after transformation)/(Length before transformation)
Scale factor = 6 /3 = 2
Hence, the correct option is C.
Learn more about Scale factors:
#SPJ1
Answer:
I am attaching a image to understand my proof.
Step-by-step explanation:
PROVE:-
AB = DC
AD = BC
∠ ABD = ∠ BDC (alternate angles are equal )
∠ DBC = ∠ ADB (alternate angles are equal )
∴ Δ ADB ≅ Δ CBD ( by ASA rule )
DC = BA ( corresponding sides of ≅ Δ )
AD = CB ( corresponding sides of ≅ Δ )
Hence it is proved that opposite sides of parallelogram are congruent )
