AnswersTX-Geometry AConditional Statements and Equivalence

Conditional Statements and Equivalence — Unit test Answers

0 verified answers3 views
21
Free Preview

Angle RST is a right angle. Angle RSU has a measure of 25°.

Question illustration
A
25°
B
45°
C
65°
D
75°
22
Free Preview

A flowchart proof

A
contains a set of sentences explaining the steps needed to reach a conclusion.
B
uses inductive reasoning to prove a statement.
C
uses a visual representation of the logical flow of steps needed to reach a conclusion.
D
contains a table with a logical series of statements and reasons that reach a conclusion.
23

Read the statement.Doubling the dimensions of a rectangle increases the area by a factor of 4.If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.

A
p → q represents the original conditional statement.
B
~p → ~q represents the inverse of the original conditional statement.
C
q → p represents the original conditional statement.
D
~q → ~p represents the converse of the original conditional statement.
E
p → ~q represents the contrapositive of the original conditional statement.
24

How can the statement be rewritten as a conditional statement in if-then form?Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes.

A
If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.
B
If lines are on a coordinate plane, then they are perpendicular.
C
If lines are on a coordinate plane, then they have opposite reciprocal slopes.
D
If lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.
25

The diagram shows several planes, lines, and points.

Question illustration
A
Line h intersects line f at two points, A and B.
B
Line h is the intersection of planes R and T.
C
Line h intersects plane P at point C.
D
Line h has points on planes R, P, and T.
26

If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?Two lines in a plane intersect at a point.

A
two lines in a plane intersect
B
two lines intersect at a point
C
a point exists
D
points are in a plane
27

Given:p: Angles XYZ and RST are vertical angles.q: Angles XYZ and RST are congruent.Which statement is logically equivalent to p → q?

A
If angles XYZ and RST are congruent, then they are vertical angles.
B
If angles XYZ and RST are not vertical angles, then they are not congruent.
C
If angles XYZ and RST are not congruent, then they are not vertical angles.
D
If angles XYZ and RST are vertical angles, then they are not congruent.
28

Angle PSR measures 99°.

Question illustration
A
9°
B
24°
C
45°
D
54°
29

[BLANK]

A
conclusion
B
given information
C
assumptions
D
argument
30

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ
31

When using a counterexample to prove a conditional statement false, which must be true about the counterexample?

A
There must be infinite counterexamples.
B
The counterexample must satisfy the hypothesis of the conditional statement.
C
There must be at least one example under which the conditional statement is true.
D
The counterexample must satisfy the conclusion of the conditional statement.

Did you find these answers helpful?

More from this Course

Assignment
14 verified answers

Conditional Statements and Equivalence

Assignment
14 verified answers

Compound Statements

Assignment
14 verified answers

Conditional Statements and Equivalence