-
Reasoning Review the reflexive, symmetric, and transitive properties for congruence in Lesson 2-5. Write reflexive, symmetric, and transitive statements for “is parallel to” (||). Tell whether each statement is true or false. Justify your answer.
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Reasoning Repeat Exercise 25 for “is perpendicular to” (⊥).
Standardized Test Prep
SAT/ACT
- In a plane, line e is parallel to line f, line f is parallel to line g, and line h is perpendicular to line e. Which of the following MUST be true?
-
e
||
g
e vertical linevertical line g
-
h
||
f
h vertical linevertical line f
-
g
||
h
g vertical linevertical line h
-
e
||
h
e vertical linevertical line h
- Which point lies nearest to (5, 2) in the coordinate plane?
-
(
−
1
,
3
)
open negative 1 comma 3 close
-
(
0
,
−
2
)
open 0 comma negative 2 close
-
(
4
,
−
5
)
open 4 comma negative 5 close
- (4, 10)
- Which of the following is NOT a reason for proving two lines parallel.
- The lines are both ⊥ to the same line.
- Corresponding angles are congruent.
- Vertical angles are congruent.
- The lines are both || to the same line.
Short Response
- The diameter of a circle is the same length as the side of a square. The perimeter of the square is 16 cm. Find the diameter of the circle. Then find the circumference of the circle in terms of
π
.
pi .
Mixed Review
See Lesson 3-3.
Algebra Determine the value of x for which
a
||
b
.
eh vertical linevertical line b .
-
-
See Lesson 1-4.
Use a protractor. Classify each angle as acute, right, or obtuse.
-
-
-
Get Ready! To prepare for Lesson 3-5, do Exercises 36–39.
See p. 834.
Solve each equation.
-
30
+
90
+
x
=
180
30 plus . 90 plus . x equals 180
-
55
+
x
+
105
=
180
55 plus , x plus . 105 equals 180
-
x
+
50
=
90
x plus . 50 equals 90
-
32
+
x
=
90
32 plus . x equals 90