When the dilation is around the origin, we just have to multiply each coordinate by the scale factor.
We're starting from A(2,2), B(2,5), C(6,5) and D(6,2) and scaling by 3 so the image A'B'C'D' is
Answer: A'(6,6), B'(6,15), C'(18,15), D'(18,6)
The description below proves that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.
<h3>How to prove an Isosceles Triangle?</h3>
Let ABC be an isosceles triangle such that AB = AC.
Let AD be the bisector of ∠A.
We want to prove that BD=DC
In △ABD & △ACD
AB = AC(Thus, △ABC is an isosceles triangle)
∠BAD =∠CAD(Because AD is the bisector of ∠A)
AD = AD(Common sides)
By SAS Congruency, we have;
△ABD ≅ △ACD
By corresponding parts of congruent triangles, we can say that; BD=DC
Thus, this proves that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.
Read more about Isosceles Triangle at; brainly.com/question/1475130
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Using the percentage concept, it is found that 60% of the students voted to donate a telescope.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
In this problem:
- The total amount is the number of students, which is of b = 500.
- 300 voted to donate, hence a = 300.
The <em>percentage </em>is given by:
60% of the students voted to donate a telescope.
More can be learned about the percentage concept at brainly.com/question/10491646
The bes thing to do t find the scale factor is to divide the larger number by the smaller number. 260/13= 20 120/6= 20. As these are both the same, therefore, the scale factor is 20.
Hope this helps :)
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