AnswersLHS GeometryConditional Statements and Equivalence

Conditional Statements and Equivalence — Unit test Answers

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4

Inductive and deductive reasoning differ in which way?

A
Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true.
B
Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
C
Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true.
D
Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
5

Angles 1 and 2 are supplementary.

Question illustration
A
m1 + m2 = 90°
Option A
B
m1 + m2 = 100°
Option B
C
m1 + m2 = 180°
Option C
D
m1 + m2 = 200°
Option D
6

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

A
If a figure is a polygon, then the sum of the exterior angles is 360°.
B
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
C
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
D
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
7

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Question illustration
A
They are complementary.
B
They are supplementary.
C
They are congruent.
D
They are obtuse.
10

What is the converse of the statement?Perpendicular lines have negative reciprocal slopes.

A
If lines have negative reciprocal slopes, then they are perpendicular.
B
If lines are perpendicular, then they have negative reciprocal slopes.
C
If lines do not have negative reciprocal slopes, then they are not perpendicular.
D
If lines are not perpendicular, then they do not have negative reciprocal slopes.
11

Which statement can be concluded using the true statements?If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square.If a figure is a square, then each of its angles must measure 90 degrees.

A
If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
B
If a quadrilateral has 4 equal sides and 4 equal angles, then none of its angles measures 90 degrees.
C
If all four angles in a quadriateral measure 90 degrees, the quadrilateral is a square.
D
If all four angles in a quadriateral measure 90 degrees, the quadrilateral cannot be a square.
12

In the diagram, which angles form a linear pair? Select three options.

A
RST and RSV
Option A
B
RST and TSU
Option B
C
RST and VSU
Option C
D
TSU and USV
Option D
E
TSU and RSV
Option E
15

Which statements are true based on the diagram? Select three options.

A
Plane S contains points B and E.
B
The line containing points A and B lies entirely in plane T.
C
Line v intersects lines x and y at the same point.
D
Line z intersects plane S at point C.
E
Planes R and T intersect at line y.

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