Answers690201 Geometry S1 – NEMECEK ANGELLA SConditional Statements and Equivalence

Conditional Statements and Equivalence — Unit test Answers

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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.
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Figure JKLM is a rectangle, so mKJM = mKLM = 90° and KJC MLC.

Question illustration
A
Angles that are congruent are complementary to the same angle.
B
Angles that are congruent are supplementary to the same angle.
C
All angles in a rectangle are right angles.
D
Complementary angles are always also congruent.
5

Given: mTRV = 60° mTRS = (4x)°Prove: x = 30What is the missing reason in step 3?

Question illustration
A
substitution property of equality
B
angle addition postulate
C
subtraction property of equality
D
addition property of equality
6

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.
8

Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.

Question illustration
A
They are acute.
B
They are congruent.
C
They are complementary.
D
They are supplementary.
9

What is the inverse of the conditional statement?If a polygon has five angles, then it is a pentagon.

A
If a polygon is a pentagon, then it has five angles.
B
If a polygon is not a pentagon, then it does not have five angles.
C
If a polygon does not have five angles, then it is not a pentagon.
D
If a polygon has five angles, then it is not a pentagon.
15

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.
16

What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABD

Question illustration
A
definition of angle bisector
B
segment addition property
C
definition of congruent angles
D
transitive property
17

Angle PSR measures 99°.

Question illustration
A
B
24°
C
45°
D
54°
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[BLANK]

A
conclusion
B
given information
C
assumptions
D
argument
19

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.

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