Geometry Chapter 2 Review (pt.2)

2.6 Proofs Using Segments (statements)

100

Fill in the statement that is justified by the given reason:

If AB =~ CD, then __?__. (definition of congruent segments)

AB = CD

200

Fill in the statement that is justified by the given reason:

If HG =~ RS, then __?__. (symmetric property of equality)

RS =~ HG

300

Fill in the statement that is justified by the given reason:

If AB = CD, and CD = RS, then __?__. (transitivity property)

AB = RS

400

Fill in the statement that is justified by the given reason:

If X-Y-Z, then __?__. (definition of between)

XY + YZ = XZ

500

Fill in the statement that is justified by the given reason:

If RS + ST = RT, then __?__. (definition of between)

R-S-T

2.6 Proofs Using Segments (reasons)

100

Supply the reason that supports the statement:

If JK = LM, then JK =~ LM.

definition of congruent segments

200

Supply the reason that supports the statement:

If P-Q-R, then PQ + QR = PR.

definition of between

300

Supply the reason that supports the statement:

AB =~ AB

reflexive property

400

Supply the reason that supports the statement:

AB = CD

x + y = AB, m + n = CD

Therefore, x + y = m + n

substitution

500

Supply the reason that supports the statement:

JK = JK

AB + JK = CD + JK

Therefore, ​AB = CD​​​

addition property of equality

2.7 Proofs Using Angles (terms)

100

Angles that form a linear pair are _?_.

supplementary

200

Vertical angles are _?_.

congruent

300

Two angles are _?_ if the sum of their measures is 90^o.

complementary

400

Two angles are _?_ if the sum of their measures is 180^o.

supplementary

500

All right angles are _?_.

a. complementary  b. supplementary  
c. congruent          d. a linear pair

c. congruent

2.7 Proofs Using Angles (math)

100

Find the complement of a 34^o angle.

90 - 34 = 56^o

200

Find the supplement of a 65^o angle.

180 - 65 = 115^o

300

The measure of two angles that are complementary and congruent is _?_ each.

45^o

( 90^o divided by 2 )

400

The measure of two angles that are supplementary and congruent is _?_ each.

90^o

( 180^o divided by 2 )

500

The adjacent angles formed by two intersecting lines add up to _?_^o.

180

2.8 Bisectors

100

If the coordinate of C is -8 and the coordinate of D is 45, what is the length of line CD?

CD = |45 - (-8)| = 53

200

A.________M.________B.

M is the midpoint of AB. If AB = 18, find AM.

AM = 9

300

X.________Y.________Z.

Y is the midpoint of XZ. If x=2 and y=10, find z.

z = 18

400

R.________S.________T.

S is the midpoint of RT. If s=-8 and t=2, find r.

r = -18

500

A.________M.________B.

M is the midpoint of AB.

If m=5 and MB=7, find a and b.

a = -2 --> (5-7)

b = 12 --> (5+7)