a Identify the hypothesis and conclusion of the statement.
B
b Identify the hypothesis and conclusion of the statement.
C
c Identify the hypothesis and conclusion of the statement.
A
a If a triangle is equilateral, then it has 120^(∘) rotational symmetry.
B
b If a polygon is a rectangle, then it is a parallelogram.
C
c If a polygon is a trapezoid, then its area is half the sum of the bases multiplied by the height.
Practice makes perfect
a To rewrite the statement in if-then form, we have to identify the statement's hypothesis and conclusion. In if-then form, the hypothesis comes after if and the conclusion comes after then.
Hypothesis:&If...
Conclusion:&then...
The given statement says that all equilateral triangles have 120^(∘) rotation symmetry. With this information we can identify the hypothesis and conclusion.
All equilateral triangles
have $120^(∘)$ rotation symmetry.
Now we can write the statement in if-then form.
If a triangle is equilateral,
then it has a $120^(∘)$ rotational symmetry.
b Like in Part A, we have to identify the hypothesis and conclusion. The given statement says that a rectangle is a parallelogram. With this information we can identify the hypothesis and conclusion.
A rectangle is a parallelogram.
Now we can write the statement in if-then form.
If a polygon is a rectangle,
then it is a parallelogram.
c Like in Parts A and B, we have to identify the hypothesis and conclusion. We are given the following The given statement says that the area of a trapezoid is half the sum of the bases multiplied by the height. With this information we can identify the hypothesis and conclusion.
The area of a trapezoid is half the sum of the bases multiplied by the height.
Now we can write the statement in if-then form.
If a polygon is a trapezoid,
then its area is half the sum of the bases multiplied by the height.
