2.3 - 2.6 Review - Amber Nicholson | Library

For the next 16 questions, name the propery, definition, or postulate the statement illustrates.

1

If x + 7 = 23, then x = 16.

1

If 4x = 40, then x = 10

1

If x = 7 and y = x + 5, then y = 12

1

If 2x = 28, then 28 = 2x

1

x = x

1

If x = y and y = z, then x = z.

1

AB + BC = AC

1

If \overrightarrow{AB} bisects \angle{CAD}, then \angle{CAB} = \angle{BAD}.

1

If \overline{AB} \cong \overline{CD}, then AB = CD.

1

If \angle{1} and \angle{2} are a linear pair, then m\angle{1} + m\angle{2} = 180o.

1

If \angle{1} and \angle{2} are supplementary, then m\angle{1} + m\angle{2} = 180o.

1

If \angle{1} and \angle{2} are vertical angles, then m\angle{1} = m\angle{2}

1

If \angle{1} and \angle{2} are complementary, then m\angle{1} + m\angle{2} = 90o.

1

If H is the midpoint of \overline{NM}, then NH = MH.

1

If \overleftrightarrow{YI} and \overleftrightarrow{ER} are perpendicular, then they form right angles

1

AB + AB = 2(AB)

Name the three types of proofs.

1

#1

1

#2

1

#3

1

Which type of tool in Geometry do we accept without having to prove it?

1

Which type of tool in Geometry do we have to prove before using it?

In the proof below, first reorder the statements to complete the left side of the proof.  Then, provide the reasons for each statement.

1

Put the statements in the correct order to complete the proof.

GA + AM = GM
x = 11
3x = 33
3x - 5 = 28
GM = 28
x + 3 + 2x - 8 = 28

Using the correct order of the proof completed above, state the reasons for each step.

1

Reason #1

1

Reason #2

1

In the proof below, first reorder the statements to complete the left side of the proof.  Then, provide the reasons for each statement.

1

Put the statements in the correct order to complete the proof.

AB = CD
3 = x
1 = 2x - 5
\overline{AB} \cong \overline{CD}
6 = 2x
2x + 1 = 4x - 5
\overline{AB} \cong \overline{BC}, \overline{BC} \cong \overline{CD}
x = 3

Using the correct order of the proof completed above, state the reasons for each step.

1

Reason #1

1

Using the diagram below, solve for x.

1

Using the diagram below, solve for x.

Complete the proof below:

1

Reason #1

1

Reason #2

1

Reason #3

1

Complete the proof below:

1

Reason #1

1

Reason #2

1

Reason #3

1

2.3 - 2.6 Review

2.3 - 2.6 Review

If x + 7 = 23, then x = 16.

If 4x = 40, then x = 10

If x = 7 and y = x + 5, then y = 12

If 2x = 28, then 28 = 2x

x = x

If x = y and y = z, then x = z.

AB + BC = AC

If \overrightarrow{AB} bisects \angle{CAD}, then \angle{CAB} = \angle{BAD}.

If \overline{AB} \cong \overline{CD}, then AB = CD.

If \angle{1} and \angle{2} are a linear pair, then m\angle{1} + m\angle{2} = 180o.

If \angle{1} and \angle{2} are supplementary, then m\angle{1} + m\angle{2} = 180o.

If \angle{1} and \angle{2} are vertical angles, then m\angle{1} = m\angle{2}

If \angle{1} and \angle{2} are complementary, then m\angle{1} + m\angle{2} = 90o.

If H is the midpoint of \overline{NM}, then NH = MH.

If \overleftrightarrow{YI} and \overleftrightarrow{ER} are perpendicular, then they form right angles

AB + AB = 2(AB)

#1

#2

#3

Which type of tool in Geometry do we accept without having to prove it?

Which type of tool in Geometry do we have to prove before using it?

Put the statements in the correct order to complete the proof.

Reason #1

Reason #2

Put the statements in the correct order to complete the proof.

Reason #1

Using the diagram below, solve for x.

Using the diagram below, solve for x.

Reason #1

Reason #2

Reason #3

Reason #1

Reason #2

Reason #3

If x + 7 = 23, then x = 16.

If 4x = 40, then x = 10

If x = 7 and y = x + 5, then y = 12

If 2x = 28, then 28 = 2x

x = x

If x = y and y = z, then x = z.

AB + BC = AC

If \overrightarrow{AB} bisects \angle{CAD}, then \angle{CAB} = \angle{BAD}.

If \overline{AB} \cong \overline{CD}, then AB = CD.

If \angle{1} and \angle{2} are a linear pair, then m\angle{1} + m\angle{2} = 180o.

If \angle{1} and \angle{2} are supplementary, then m\angle{1} + m\angle{2} = 180o.

If \angle{1} and \angle{2} are vertical angles, then m\angle{1} = m\angle{2}

If \angle{1} and \angle{2} are complementary, then m\angle{1} + m\angle{2} = 90o.

If H is the midpoint of \overline{NM}, then NH = MH.

If \overleftrightarrow{YI} and \overleftrightarrow{ER} are perpendicular, then they form right angles

AB + AB = 2(AB)

#1

#2

#3

Which type of tool in Geometry do we accept without having to prove it?

Which type of tool in Geometry do we have to prove before using it?

Put the statements in the correct order to complete the proof.

Reason #1

Reason #2

Reason #3

Reason #4

Reason #5

Reason #6

Put the statements in the correct order to complete the proof.

Reason #1

Reason #2

Reason #3

Reason #4

Reason #5

Reason #6

Reason #7

Reason #8

Using the diagram below, solve for x.

Using the diagram below, solve for x.

Reason #1

Reason #2

Reason #3

Reason #4

Reason #1