Question 4(Multiple Choice Worth 2 points) (09.06) For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x =
1 answer:
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Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements Reason
1. ║
, J is the midpoint of
1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. ≅
4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ 5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines and
, by the transversal
are equal
Vertically opposite angles formed by the crossing of two straight lines and
are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent
≅
, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.
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Step-by-step explanation:
Given that is isosceles triangle.
A isosceles has two sides equal an the third side is the base.
So, ...(i)
Given that length of the base
Given that the perimeter of the triangle is
So, ...(ii)
Using (i) and (ii),