The inverse, converse and contrapositive of a statement are used to determine the true values of the statement
<h3>How to determine the inverse, converse and contrapositive</h3>
As a general rule, we have:
If a conditional statement is: If p , then q .
Then:
- Inverse -> If not p , then not q .
- Converse -> If q , then p .
- Contrapositive -> If not q , then not p .
Using the above rule, we have:
<u>Statement 1</u>
- Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
- Converse: If a parallelogram is a rectangle, then it has a right angle.
- Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.
All three statements above are true
<u>Statement 2</u>
- Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
- Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
- Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another
All three statements above are also true
Read more about conditional statements at:
brainly.com/question/11073037
Answer:
QR = 5.
Step-by-step explanation:
Because the parallelograms are similar then the corresponding sides are in the same ratio.
So AB / PQ = BC / QR
9/3 = 15 / QR
15 / QR = 3
QR = 15/3
= 5. (answer)
Answer:
Range: [-2, 2] {y | -2 ≤ y ≤ 2}
Step-by-step explanation:
The given function is y = 2sinx
We have to find the range of the given function.
Since at y-axis sine function has the variance between -1 to 1 so range of y = sinx is [-1, 1]
and if the amplitude of sine function is 2 then sine function will vary from -2 to 2 which implies that range of y = 2 sinx will be [-2, 2]
So range of y = 2sinx is [-2, 2]
