Unit Test — Unit test Answers

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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
3

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.
4

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.
5

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.
7

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.
8

Two lines intersecting at a right angle

A
form a line.
B
are parallel.
C
are perpendicular.
D
form a ray.
9

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ
13

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.
14

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.
15

In which diagram do angles 1 and 2 form a linear pair?

A
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Option A
B
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
Option B
C
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
Option C
D
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Option D
16

Which is a counterexample for the conditional statement shown?If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.

A
any fraction with a denominator of 0
B
any fraction with a numerator of 0
C
any fraction with a positive numerator and a negative denominator
D
any fraction with a negative numerator and a positive denominator
17

Which statements are true about the figure? Select two options.

A
GNJ is complementary to JNK.
Option A
B
MNL is complementary to KNL.
Option B
C
MNG is complementary to GNJ.
Option C
D
KNJ is supplementary to MNL.
Option D
E
GNM is supplementary to JNK.
Option E

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