I need help with this proof i am struggling w geometry...
1 answer:
Your line 4 should have "angle DEC" not "angle EDC". The order of the letters is important. I marked the two angles ABC and DEC in the attached image below. They are alternate interior angles. Because DE || AB, this means the alternate interior angles are congruent.
Since C is the midpoint of EB, this means BC = CE by the definition of the midpoint. Basically EB is cut into two halfs BC and CE which are the same length.
After you establish all of what is mentioned previously, you would use the AAS congruence theorem. AAS stands for Angle Angle Side. One pair of angles are the vertical angles (see line 2). Another pair of congruent angles is the alternate interior angles (line 4). The sides are not between the pairs of angles mentioned. Again check out the attached image for more visual information.
Finally, if we know the triangles are congruent, then the corresponding parts are congruent (CPCTC). That leads to the conclusion that DC = AC.
Edit: it's actually ASA and not AAS because the sides are between the two angles (I was thinking of another diagram earlier)
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Answer:
Alexandria requires 55 rows to use all the shells.
Step-by-step explanation:
Given:
Number of Shells = 329
Number of shells in each row = 6
We need to find the number of rows she need if she wants to use all the shells.
Solution:
Now we know that;
number of rows she needs can be calculated by Dividing Number of Shells with Number of shells in each row.
framing in equation form we get;
number of rows =
Hence Alexandria requires 55 rows to use all the shells.
Answer:
IJ = LM.
Step-by-step explanation:
The Side-angle-side postulate states that if the pair of a corresponding sides and angles formed between these sides of two triangles are equal in measurement then these two triangle are said to be congruent.
As shown in figure 1 below:
In Δ HIJ and ΔKLM,
∠I = ∠L = 20° and HI = KL = 5 units
Since the ∠I lies between HI and IJ and ∠L lies between KL and LM, ∴ if IJ = LM then Δ HIJ and ΔKLM will be congruent by SAS postulate.
