Identify the hypothesis and also conclusion the this conditional statement:If 2 lines intersect at ideal angles, then the 2 lines are perpendicular.a. Hypothesis: The 2 lines space perpendicular. Conclusion: two lines crossing at rightangles.b. Hypothesis: two lines crossing at right angles. Conclusion: The 2 lines areperpendicular.c. Hypothesis: The two lines are not perpendicular. Conclusion: 2 lines crossing at best angles. D. Hypothesis: two lines intersect at best angles. Conclusion: The two lines space notperpendicular.

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Write this statement as a conditional in if-then form: every triangles have three sides.a. If a triangle has actually three sides, then every triangles have actually three sides.b. If a number has three sides, climate it is no a triangle.c. If a number is a triangle, then all triangles have actually three sides.d. If a figure is a triangle, then it has actually three sides.
Which explain is a counterexample because that the complying with conditional? If girlfriend live in Springfield, then you live in Illinois.a. Sara Lucas stays in Springfield.b. Jonah Lincoln stays in Springfield, Illinois.c. Billy Jones stays in Chicago, Illinois.d. Erin Naismith resides in Springfield, Massachusetts.
Another surname for an if-then declare is a ____. Every conditional has actually two parts. The component following if is the ____ and the component following then is the ____.a. Conditional; conclusion; hypothesisb. Hypothesis; conclusion; conditionalc. Conditional; hypothesis; conclusion d. Hypothesis; conditional; conclusion
A conditional can have a ____ the true or false. A. Theory b. Reality valuec. Respond to examplec. Conclusion
Which an option shows a true conditional with the hypothesis and conclusion identified correctly?a. Yesterday to be Monday if morning is Thursday.Hypothesis: morning is Thursday.Conclusion: Yesterday to be Monday.b. If tomorrow is Thursday, then yesterday to be Tuesday.Hypothesis: Yesterday to be Tuesday.Conclusion: morning is not Thursday.c. If morning is Thursday, then yesterday was Tuesday.Hypothesis: Yesterday to be Tuesday.Conclusion: tomorrow is Thursday.d. Yesterday was Tuesday if morning is Thursday.Hypothesis: morning is Thursday. Conclusion: Yesterday to be Tuesday.
d. Yesterday was Tuesday if tomorrow is Thursday.Hypothesis: tomorrow is Thursday. Conclusion: Yesterday to be Tuesday.
What is the conclusion the the complying with conditional?A number is divisible by 3 if the sum of the digits of the number is divisible by 3.a. The number is odd.b. The sum of the number of the number is divisible by 3.c. If the amount of the number of a number is divisible through 3, then the number is divisible through 3.d. The number is divisible by 3.
What is the converse the the following conditional?If a point is in the first quadrant, then its coordinates are positive.a. If a point is in the first quadrant, then its coordinates are positive.b. If a point is no in the an initial quadrant, then the coordinates of the allude are not positive. C. If the works with of a suggest are positive, climate the point is in the an initial quadrant.d. If the collaborates of a allude are not positive, then the point is no in the an initial quadrant.
What is the converse and the truth value of the converse the the following conditional? If an edge is a ideal angle, climate its measure is 90.a. If an edge is no a right angle, climate its measure up is 90.Falseb. If an angle is not a appropriate angle, then its measure up is not 90. Truec. If one angle has actually measure 90, then it is a best angle.Falsed. If one angle has actually measure 90, climate it is a best angle.True
For the adhering to true conditional statement, write the converse. If the converse is additionally true, combine the statements together a biconditional.If x = 3, then x2 = 9.a. If x2 = 9, then x = 3. True; x2 = 9 if and only if x = 3. B. If x2 = 3, climate x = 9. Falsec. If x2 = 9, climate x = 3. True; x = 3 if and only if x2 = 9. D. If x2 = 9, then x = 3. False
Determine whether the conditional and also its converse are both true. If both room true, combine them together a biconditional. If either is false, provide a counterexample.If 2 lines space parallel, they carry out not intersect.If two lines perform not intersect, they space parallel.a. One declare is false. If two lines perform not intersect, they can be skew..b. One declare is false. If two lines room parallel, they might intersect twice.c. Both statements are true. Two lines are parallel if and only if they do not intersect.d. Both statements space true. 2 lines space not parallel if and only if they carry out not intersect.
Determine whether the conditional and also its converse space both true. If both are true, incorporate them together a biconditional. If either is false, offer a counterexample.If an edge is a right angle, its measure up is 90.If one angle measure is 90, the angle is a appropriate angle.a. One statement is false. If an angle measure up is 90, the angle might be a vertical angle.b. One statement is false. If an angle is a best angle, that measure may be 180.c. Both statements are true. An edge is a right angle if and also only if its measure is 90.d. Both statements are true. The measure up of edge is 90 if and also only if that is not a right angle.
When a conditional and also its converse room true, you can combine them together a true ____. A. Counterexample b. Biconditional c. Unconditionald. Hypothesis
Decide even if it is the following meaning of perpendicular is reversible. If it is, state the definition as a true biconditional.Two present that crossing at ideal angles are perpendicular.a. The statement is not reversible.b. Reversible; if two lines crossing at right angles, then they room perpendicular.c. Reversible; if two lines room perpendicular, climate they crossing at appropriate angles.d. Reversible; two lines crossing at best angles if and only if they space perpendicular.
Is the explain a good definition? If not, find a counterexample.A square is a number with 2 pairs that parallel sides and four ideal angles. A. The declare is a great definition.b. No; a rhombus is a counterexample.c. No; a rectangle is a counterexample.d. No; a parallel is a counterexample.
One method to present that a statement is no a good definition is to uncover a ____. A. Converse b. Conditional c. Biconditionald. Counter example
Which statement provides a counterexample come the complying with faulty definition? A square is a figure with four congruent sides.a. A six-sided number can have 4 sides congruent.b. Some triangles have actually all sides congruent.c. A square has four congruent angles.d. A rectangle has 4 sides.
Which biconditional is no a great definition?a. A entirety number is weird if and only if the number is not divisible by 2.b. An edge is directly if and also only if its measure up is 180.c. A totality number is also if and only if that is divisible by 2.d. A beam is a bisector of an angle if and only if the splits the angle into two angles.
Name the residential or commercial property of Equality the justifies the statement: If p = q, then p-r = q-r. A. Reflexive home b. Multiplication property c. Symmetric Propertyd. Individually Property
Which statement is an instance of the enhancement Property that Equality?a. If ns = q then ns x s = q x s. B. If p = q then p + s = q + s. C. If p = q then ns - s = q - s. D. Ns = q
Write the converse the the statement. If the converse is true, compose true; if not true, provide a counterexample. If x = 4, then x2 = 16.
Write the converse the the offered true conditional and also decide whether the converse is true or false. If the converse is true, combine it v the conditional to form a true biconditional. If the converse is false, offer a counterexample.If the probability that an event will happen is 0, then the event is impossible to occur.
If an occasion is impossible, the probability the the event is 0.TrueAn event is impossible if and also only if the probability of the event is zero.
a. Compose the complying with conditional in if-then form.b. Create its converse in if-then form.c. Recognize the truth value that the original conditional and its converse. Explain why every of lock is true orfalse, and administer a counterexample(s) for any false statement(s).On a number line, the point out with coordinates -2 and also 5 space 7 systems apart.
a. If clues have coordinates -2 and also 5, then they room 7 units apart.b. If points are 7 devices apart, then they have works with -2 and 5.c. The initial conditional is true by the ruler Postulate. The converse is false. The point out 0 and 7 and 7 unitsapart, however their collaborates are no -2 and also 5.
Write the two conditional statements that form the provided biconditional. Climate decide even if it is the biconditional is a great definition. Explain.Three points space collinear if and only if they are coplanar.
If 3 points are collinear, climate they room coplanar. If three points room coplanar, climate they space collinear.The biconditional is not a an excellent definition. Three coplanar points might not lie on the very same line.
Give a convincing argument that the adhering to statement is true.If 2 angles space congruent and also complementary, climate the measure up of every is 45.
If 2 angles space congruent and also complementary, they have equal procedures that add to 90. Thus, every angle has a measure that is one-half the 90, or 45.

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Write the two conditional declaration that make up the following biconditional. Ns drink juice if and only if it is breakfast time.a. Ns drink juice if and also only if that is breakfast time.It is breakfast time if and only if i drink juice.b. If ns drink juice, then it is breakfast time. If the is breakfast time, then ns drink juice.c. If ns drink juice, then it is breakfast time. I drink juice only if the is breakfast time.d. I drink juice.It is breakfast time.
One means to present that a declare is not a good meaning is to discover a ____. A. Counterexample b. Biconditional
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Geometry (Texas)Chard, Earlene J. Hall, Edward B. Burger, Freddie L. Renfro, Kennedy, Paul A., Seymour, Steven J. Leinwand, Waits