Download Enriched Pre-Algebra - Chapter 6 Test Review Short Answer

Enriched Pre-Algebra - Chapter 6 Test Review
Short Answer
Classify each quadrilateral with the name that best describes it.
1.
Classify each angle or angle pair using all names that apply.
2.
2
1
Use the figure showing two parallel lines cut by a transversal.
t
3
5
6
4
1
7
8
2
3. Find m 2 if m 1 = 56°.
4. Find m 5 if m 6 = 144°.
5. Find m 1 if m 6 = 125°.
6. Find m 5 if m 6 = 137°.
Find the value of x in each triangle.
h
k
7.
43°
43°
x°
55°
(x – 55)°
Classify each triangle by its sides and angles.
8.
60°
60°
60°
60°
60°
60°
Find the value of x in each quadrilateral.
9.
x°
123 °
49 °
56 °
x°
56 °
123 °
49 °
Determine whether the polygons shown are congruent. If so, name the corresponding parts and write a
congruence statement.
10.
L
M
N
57°
33°
P
O
11.
5.3 ft
6.1 ft
89°
86°
11.9 ft
11.9 ft
Determine whether each figure has line symmetry, rotational symmetry, or both.
12.
Find the coordinates of the vertices of each figure after a reflection over the given axis.
13. triangle ABC with vertices A(–7, 7), B(1, –2), and C(2, 5); x-axis
14. quadrilateral ABCD with vertices A(–1, 5), B(5, –1), C(–2, 5), D(–3, –2); x-axis
Enriched Pre-Algebra - Chapter 6 Test Review
Answer Section
SHORT ANSWER
1. ANS:
Square and trapezoid
Sample:
A square is a parallelogram with all sides congruent and four right angles. A rectangle is a parallelogram with
four right angles.
PTS: 1
DIF: Basic
OBJ: 6-4.2 Classify quadrilaterals.
STA: MEA.9
TOP: Classify quadrilaterals.
KEY: Quadrilaterals | Classifying quadrilaterals
MSC: 1999 Lesson 5-3
2. ANS:
Obtuse and supplementary
Sample:
The angle measure is less than 90°, so it is an acute angle.
PTS: 1
DIF: Basic
OBJ: 6-1.1 Classify angles or angle pairs.
STA: MEA.8
TOP: Classify angles or angle pairs.
KEY: Angles | Classifying angles
MSC: 1999 Lesson 5-1
3. ANS:
124°
Sample:
Find m 2 if m 1 = 44°.
m 2 = 180° – 44° = 136° since they are same side exterior angles.
PTS: 1
DIF: Average
OBJ: 6-1.2 Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a
transversal.
STA: GSS.2
TOP: Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a
transversal.
KEY: Angles | Angle relationships
MSC: 1999 Lesson 5-1
4. ANS:
36°
Sample:
Find m 7 if m 6 = 137°.
m 7 = 137° since they are alternate interior angles.
PTS: 1
DIF: Average
OBJ: 6-1.2 Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a
transversal.
STA: GSS.2
TOP: Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a
transversal.
KEY: Angles | Angle relationships
MSC: 1999 Lesson 5-1
5. ANS:
55°
Sample:
Find m 7 if m 6 = 137°.
m 7 = 137° since they are alternate interior angles.
PTS: 1
DIF: Average
OBJ: 6-1.2 Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a
transversal.
STA: GSS.2
TOP: Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a
transversal.
KEY: Angles | Angle relationships
MSC: 1999 Lesson 5-1
6. ANS:
43°
Sample:
Find m 7 if m 6 = 137°.
m 7 = 137° since they are alternate interior angles.
PTS: 1
DIF: Average
OBJ: 6-1.2 Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a
transversal.
STA: GSS.2
TOP: Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a
transversal.
KEY: Angles | Angle relationships
MSC: 1999 Lesson 5-1
7. ANS:
82° and 102°
Sample:
64°
51°
x°
The sum of the angles of a triangle is 180°.
PTS: 1
DIF: Basic
STA: MEA.8 | MEA.9
OBJ: 6-2.1 Find missing angles of triangles.
TOP: Find missing angles of triangles.
KEY: Angles | Triangles
8. ANS:
Acute equilateral and right scalene
Sample:
MSC: 1999 Lesson 5-2
60°
60°
60°
All angle measure are the same, it is an equiangular triangle.
PTS: 1
DIF: Average
STA: MEA.8 | MEA.9
KEY: Triangles | Classifying triangles
9. ANS:
132° and 127.5°
Sample:
129 °
44 °
OBJ: 6-2.2 Classify triangles by their angles.
TOP: Classify triangles by their angles.
MSC: 1999 Lesson 5-2
x°
45 °
The sum of the interior angles of a quadrilateral is 360°.
PTS: 1
DIF: Average
OBJ: 6-4.1 Find missing angle measures in quadrilaterals.
STA: MEA.8 | MEA.9
TOP: Find missing angle measures in quadrilaterals.
KEY: Quadrilaterals | Angles
MSC: 1999 Lesson 5-3
10. ANS:
and L  N, M   M, P  O and LM  NM, MP  MO, LP  NO
Sample:
L
M
N
59°
31°
P
O
The triangles both have the same angle measures and side lengths, so they are congruent. Order the vertices so
that corresponding parts are matched:
.
PTS: 1
DIF: Average
STA: GSS.1 | GSS.3
KEY: Polygons | Congruence
11. ANS:
OBJ: 6-5.1 Identify congruent polygons.
TOP: Identify congruent polygons.
MSC: 1999 Lesson 5-5
ABCD  QTSR - NO!!
Sample:
If all sides and angles are congruent, then the two quadrilaterals are congruent. Order the vertices so that
corresponding parts are matched: ABCD  QTSR.
6.4 ft
6.4 ft
87°
87°
11.5 ft
11.5 ft
PTS: 1
DIF: Average
OBJ: 6-5.1 Identify congruent polygons.
STA: GSS.1 | GSS.3
TOP: Identify congruent polygons.
KEY: Polygons | Congruence
MSC: 1999 Lesson 5-5
12. ANS:
both line and rotational symmetry and both line and rotational symmetry
Sample:
The block letter “Z” has no line symmetry, but it does have 180° rotational symmetry.
PTS: 1
DIF: Average
OBJ: 6-6.1 Identify line symmetry and rotational symmetry.
STA: GSS.1 | GSS.3
TOP: Identify line symmetry and rotational symmetry.
KEY: Line symmetry | Rotational symmetry
MSC: 1999 Lesson 5-4
13. ANS:
A´(–7, –7), B´(1, 2), C´(2, –5)
Sample:
triangle ABC with vertices A(1, 2), B(3, 4), and C(5, 6); x-axis
Each point (x, y) becomes (x, –y).
A(1, 2) —> A´(1, –2)
B(3, 4) —> B´(3, –4)
C(5, 6) —> C´(5, –6)
PTS: 1
DIF: Basic
OBJ: 6-7.1 Graph reflections on a coordinate plane.
STA: GSS.5
TOP: Graph reflections on a coordinate plane.
KEY: Reflections | Graphing
MSC: 1999 Lesson 10-8
14. ANS:
A´(–1, –5), B´(5, 1), C´(–2, –5), D´(–3, 2)
Sample:
quadrilateral ABCD with vertices A(1, 2), B(3, 4), C(5, 6), and D(7, 8); x-axis
Each point (x, y) becomes (x, –y).
A(1, 2) —> A´(1, –2)
B(3, 4) —> B´(3, –4)
C(5, 6) —> C´(5, –6)
D(7, 8) —> D´(7, –8)
PTS: 1
DIF: Average
OBJ: 6-7.1 Graph reflections on a coordinate plane.
STA: GSS.5
TOP: Graph reflections on a coordinate plane.
KEY: Reflections | Graphing
MSC: 1999 Lesson 10-8