Answer:
A dilation of 2 about the origin.
Step-by-step explanation:
You can see in the original figure the points are half the points of the transformed figure.
For example the coordinates of H are (0.5,0)
The coordinates of H' are (1,0)
Since 0.5 * 2 = 1
There is a dilation of 2 about the origin.
part a) draw two triangles, translating one of them to the right.
part b) Consider triangles ΔYXB and ΔYZA. In these triangles:
- ∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);
- ∠YXB≅∠YZA (given);
- XY≅ZY (given).
Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.
ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
part c) flow chart proof:
- XY≅ZY (given);
- XB≅ZA (implies);
- YB≅YA (implies).
Answer:
A. discrete
The number of cards that are dealt from a standard deck of playing cards is considered discrete data.
Cards in a standard death are finite and countable. They have clear spaces between them. Thus, no. of cards in a standard deck of playing cards is considered discrete data.
Continuous data can be infinitely divided within a given range.
Discrete data is countable while continuous data is measurable.
To factor out the coefficient of a variable you divide it by the sum.
Answer:
If a polygon has congruent angles and congruent sides, then it is regular
Step-by-step explanation:
A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.
To form the converse of the conditional statement, interchange the hypothesis and the conclusion
In this statement:
Hypothesis: If a polygon is regular
Conclusion: then it has congruent angles and congruent sides
By the above explanation the converse of the conditional statement is:
<u><em>If a polygon has congruent angles and congruent sides, then it is regular</em></u>
