Download ExamView - SLO #2 POST TEST.tst

Name: ________________________________________ Class: ___________________ Date: __________
SLO #2 Post TEST
1. Which type of transformation maps
A′B ′C ′?
3. Which information proves r Ä s?
ABC to
a.
b.
c.
d.
a.
b.
c.
d.
Rotation
Reflection
Translation
Dilation
4. In
∠1 ≅
∠4 ≅
∠4 ≅
∠5 ≅
∠3
∠6
∠5
∠6
JKLM , solve for the value of m∠K .
2. Which postulate or theorem can you use to prove
ABE ≅ CDE?
a.
b.
c.
d.
a.
b.
c.
d.
SSS
SAS
ASA
AAS
15 °
57 °
65 °
115 °
5. Which is NOT true of a parallelogram?
a.
b.
c.
d.
1
Consecutive angles are complementary
Opposite angles are congruent
Opposite sides are congruent
Diagonals bisect each other
6. Which angles are adjacent AND form a linear pair?
a.
b.
c.
d.
9. Which rotation about point P maps C to H?
∠1 and ∠2
∠2 and ∠3
∠2 and ∠4
∠4 and ∠5
a.
b.
c.
d.
7. Which term describes ∠PMN ?
a.
b.
c.
d.
Acute
Right
Obtuse
Straight
8. Which figure has rotational symmetry?
a.
b.
c.
d.
trapezoid
triangle
both
neither
2
45 ° counterclockwise
90 ° counterclockwise
135 ° counterclockwise
225 ° counterclockwise
10. Which of the following diagrams represents a
translation parallel to line l, then a reflection over
line l?
11. Which figure is similar to the given quadrilateral?
a.
a.
b.
b.
c.
c.
d.
12. Complete the similarity statement.
d.
ABC ∼
a.
b.
c.
d.
3
ZYX
YZX
XZY
XYZ
__________
13. If
a.
b.
c.
d.
KLM ≅
15. If ABCD ∼
CD.
RST , solve for the value of x.
12
18
33
45
a.
b.
c.
d.
TUVW , solve for the measure of
12
28
42
84
14. Solve for the m∠U .
16. Which is equal to the cosine of ∠R?
a.
b.
c.
d.
5°
15 °
40 °
120 °
a.
b.
c.
d.
4
0.6
0.75
0.8
1.25
19. When the angle of elevation of the sun is 50 ° , a
flagpole casts a shadow that is 16.8 ft long. What is
the height of the flagpole to the nearest foot?
17. Which trigonometric ratio is defined as
opposite leg
?
adjacent leg
a.
b.
c.
d.
sine
cosine
hypotenuse
tangent
18. A cottage has a gable roof. To the nearest foot, how
wide is the cottage?
a.
b.
c.
d.
a.
b.
c.
d.
13 ft
14 ft
19 ft
20 ft
20. Which of the following is the equation of a line
that passes through ÁÊË 2,1 ˜ˆ¯ and is perpendicular to
12 ft
24 ft
35 ft
70 ft
5x + y = 9?
5
a.
x + 5y = 3
b.
y = −5x +
c.
−x + 5y = 3
d.
y = 5x +
3
5
3
5
21. Given a line with a slope of 2, what is the slope of
any line parallel to the given line?
a.
24. Find the area of the quadrilateral with the vertices
A ÊÁË 2,2 ˆ˜¯ , B ÊÁË 3,6 ˆ˜¯ , C ÊÁË 5,6 ˆ˜¯ , and D ÊÁË 4,2 ˆ˜¯ ?
1
2
b. −2
1
c.
−2
d.
2
a.
b.
c.
d.
22. What best describes the relationship between the
lines 6x − 2y = 1 and x + 3y = 12?
a.
b.
c.
d.
parallel
perpendicular
skew
equivalent
4 units 2
8 units 2
10 units 2
12 units 2
25. TS Ä PR. Solve for the length of QS .
23. What is the area of JKL if the coordinates of J,
K, and L are J ÊÁË 0,0 ˆ˜¯ , K ÊÁË 0,3 ˆ˜¯ , and L ÊÁË 4,0 ˆ˜¯ ?
a.
b.
c.
d.
a.
b.
c.
d.
6 units 2
6 units
12 units 2
12 units
6
15
20
22
24
ID: A
SLO #2 Post TEST
Answer Section
1. B
G-CO.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles,
perpendicular lines, parallel lines, and line segments.
2. C
G-CO.8: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the
definition of congruence in terms of rigid motions.
3. B
G-CO.9: Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a
transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are
congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the
segment’s endpoints.
4. C
G-CO.11: Prove theorems about parallelograms. Theorems include: opposite sides are congruent,
opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely,
rectangles are parallelograms with congruent diagonals.
5. A
G-CO.11: Prove theorems about parallelograms. Theorems include: opposite sides are congruent,
opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely,
rectangles are parallelograms with congruent diagonals.
6. D
G-CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment,
based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
7. C
G-CO.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment,
based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
8. B
G-CO.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles,
perpendicular lines, parallel lines, and line segments.
9. C
G-CO.5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure
using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that
will carry a given figure onto another.
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ID: A
10. D
G-CO.5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure
using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that
will carry a given figure onto another.
11. B
G-SRT.2: Given two figures, use the definition of similarity in terms of similarity transformations to
decide if they are similar; explain using similarity transformations the meaning of similarity for triangles
as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of
sides.
12. A
G-SRT.2: Given two figures, use the definition of similarity in terms of similarity transformations to
decide if they are similar; explain using similarity transformations the meaning of similarity for triangles
as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of
sides.
13. B
G-SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove
relationships in geometric figures.
14. D
G-SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove
relationships in geometric figures.
15. C
G-SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove
relationships in geometric figures.
16. C
G-SRT.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the
triangle, leading to definitions of trigonometric ratios for acute angles.
17. D
G-SRT.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the
triangle, leading to definitions of trigonometric ratios for acute angles.
18. B
G-SRT.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied
problems.
19. D
G-SRT.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied
problems.
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ID: A
20. C
G-GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric
problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a
given point).
21. D
G-GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric
problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a
given point).
22. B
G-GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric
problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a
given point).
23. A
G-GPE.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g.,
using the distance formula.
24. B
G-GPE.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g.,
using the distance formula.
25. B
G-SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove
relationships in geometric figures.
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