Transcript Review PPT with answers

1. Turn in your Dilation and Translation Pictures to
the tray.
2. Please get out your completed REVIEW SHEET.
REMEMBER - Your EXTRA CREDIT is due to me FRIDAY
before 12:30 PM.
8.7C
1. A triangle has one leg of 32 inches and one leg of 18
inches. For the triangle to be a right triangle,
which best represents the length of the hypotenuse?
F
34.2 inches
G
36 inches
H
41.8 inches
J
36.7 inches
32
18² + 32² = c²
18
1348 = c²
36.7151 = c
8.3B
2. ∆RST is dilated to form ∆R’S’T’ with a scale factor of 3.5.
If RT = 8 what is the length of R’T’ ?
F
G
H
J
26
18
48
28
R
8 X 3.5
S
T
8.3B
3. If ∆RST is dilated to form ∆R’S’T’ and the dilation is
an enlargement, which of the following could
be a true statement?
F mR = 3mR
G
=
𝑺′𝑻′
𝑺𝑻
=
𝟐
𝟑
𝑹′𝑻′
𝑹𝑻
=
𝟑
𝟒
H
J
𝑹′𝑻′
𝑹𝑻
𝟏𝟓
𝟖
8.8D
Same or supplementary?
= or add to 180?
4. Find the value of x given that s II t and m II n.
m4 = 5x + 5˚, m 7 = 10x - 70˚
5x + 5 = 10x - 70
x = 15
8.10C
5. What does (x, y) → (x - 2, y – 4) represent?
F A translation 2 units left and 4 units up
G A translation 4 units left and 4 units down
H A translation 2 units left and 4 units down
J A translation 2 units right and 4 units down
8.10C
6. Triangle ABC has vertices A (4, 1), B (1, 9) and
A′B′C′ is (x, y) → (x + 1, y + 1) .
C ( - 5, - 2). The translation to create triangle
(4, 1) (1, 9) (-5, -2)
+1 +1
+1 +1
+1 +1
(5, 2) (2, 10) (-4, -1)
Which of the following will be the coordinates of the vertices of triangle A′B′C′?
A (5, 2), (2, 10), (−4, −3)
B (5, 0), (2, 8), (−4, −3)
C (5, 0), (2, 8), (−4, −1)
D (5, 2), (2, 10), (−4, −1)
8.8I
7. Look at the table below.
6+
+3
3
6
1
2
Which equation represents the relationship shown in the table?
8.10B
8. Which of the following transformations
will give an image that is triple the size of
the original image?
F Dilation with a scale factor of 3
G Translation that is 3 units up and 3 units
down
H Rotation that is 180° clockwise
J Reflection across the x-axis
.10A
9. The grid below shows four right triangles.
Which of the triangles above are translations of each other?
F triangle M and triangle R
G triangle M and triangle N
H triangle R and triangle P
J
triangle N and triangle P
8.9A
10. The graphs of y = -2x - 8 and y = x + 7 are shown on the grid below.
(-5, 2)
What values of x and y simultaneously satisfy the two equations?
.3C
11. Look at triangle DEF below. Using the origin as the center of dilation, the triangle is dilated and the
image has a vertex E′ with coordinates ( 6, 9).
E(2, 3)
E′(6, 9)
Which of the following is the algebraic representation of the dilation?
F (x, y) →(0.8x, 0.8y)
G (x, y) → (3x, 3y)
H (x, y) → (x - 6, y – 6)
J (x, y) → (0.54x, 0.54y)
8.8D
Same or supplementary?
= or add to 180?
12. In the diagram above, line c is parallel to
line d and line s is parallel to line t. If m5 =
x and m6 = 2x + 30 , what is the value
of x?
x + 2x + 30 = 180
3x + 30 = 180
- 30 -30
3x = 150
x = 50
8.8D
13. In the sketch below, ∆ABC has an exterior angle ACD.
64
64++52
52 = 116
52
64
If the m1 = 64°, m2 = 52°, what is the measure of ACD?
8.4C
14. Look at the table of values for a linear function shown below. What is the slope
and y-intercept of the function?
-2
-1
−𝟏 𝟏
−𝟐 𝟐
15. A square has a perimeter of 160 centimeters. If the square is dilated
with a scale factor of 0.9, what is the length of each side of the dilated
square in centimeters?
Record your answer on the grid below. Be sure to use the correct place
value.
160 ÷ 𝟒
𝟒𝟎 𝒙 𝟎. 𝟗
𝟑𝟔
8.6C
16. Which of the following does NOT represent the
lengths of the sides of a right triangle?
A
6, 8, and 10 𝟔² + 𝟖² = 𝟏𝟎² 𝟑𝟔 + 𝟔𝟒 = 𝟏𝟎𝟎 𝟏𝟎𝟎 = 𝟏𝟎𝟎
B
12, 16, and 20 𝟏𝟐² + 𝟏𝟔² = 𝟐𝟎² 𝟏𝟒𝟒 + 𝟐𝟓𝟔 = 𝟒𝟎𝟎
𝟒𝟎𝟎 = 𝟒𝟎𝟎
C
18, 25, and 30 18² + 𝟐𝟓² = 𝟑𝟎² 𝟑𝟐𝟒 + 𝟔𝟐𝟓 = 𝟗𝟎𝟎
𝟗𝟒𝟗 = 𝟗𝟎𝟎
D
15, 36, and 39
17. Triangle ABC has vertices A (4, 1), B (1, 9) and
(x, y) → (x + 1, y - 1) .
C ( - 5, - 2). The translation to create triangle A′B′C′ is
Which of the following will be the coordinates of the vertices of triangle A′B′C′?
(4, 1) (1, 9) (-5, -2)
+1 -1
+1 -1
(5, 0) (2, 8)
A
B
C
D
(5, 2), (0, 10), (−4, −3)
(5, 0), (2, 8), (−4, −3)
(5, 0), (2, 8), (−4, −1)
(5, 2), (0, 10), (−4, −1)
+1 -1
(-4, -3)
18. What is the equation for a line passing
through the points (3, 1) and (-3, 5)?
𝑦2 − 𝑦1
𝑥2 − 𝑥1
𝟑
𝟐
F
y= x–3
G
y=-
𝟐
x
𝟑
+3
2
−3
𝟏
𝟐
H
y= x+3
J
y=-
𝟏
x
𝟐
5−1
−3 − 3
–3
4
−6
19. Point G has coordinates (−4, 7) and point H is located 7 units right and 7 units down from point G.
7² + 7² = c²
7
98 = c²
7
Which of the following best describes the distance between G and H?
A
9.9 units
B
9.6 units
C
10.2 units
D
10.8 units
20. An online sports ticket selling company
charges a service charge of $5 to buy tickets.
Each ticket costs $44 for a basketball game.
Write an equation that represents the cost of
buying tickets through the company?
y = 44x + 5
21. A triangle has vertices J(−3, 8), K(7, −1), and
L(−2, 0). The triangle is dilated so that vertex K′ has
coordinates (14, −2). Which algebraic
representation represents the dilation?
A (2x, 2y) → (x, y)
K(7, -1)
B (x, 2y) → (2x, y)
K’(14, -2)
C (2x, y) → (x, 2y)
D (x, y) → (2x, 2y)
22. Triangle EFG is dilated by a scale factor of 3. Which is an algebraic representation of the dilation?
F (x, y) → (x, y)
G (x, y) → (3x, 3y)
H (x, y) →
J
𝟏
𝟏
𝒙, 𝒚
𝟑 𝟑
(x, y) → (0.3x, 0.3y)
23. Sam went to an amusement park. From the main entrance he
used the algebraic representation (x, y) →(x – 2, y + 13) to walk to a
ride. Which ride did Sam walk to?
Ride 2
24. Rectangle ABCD has vertices A(−1, 2), B (4, 2), C(4, −1), and
𝟒
(D−1, −1). Rectangle ABCD is dilated by a scale factor of 𝟑. Which
statement is true? (8.3C)
F
Rectangle ABCD and rectangle A′B′C′D′ are congruent.
G
Rectangle ABCD and rectangle A′B′C′D′ are similar. Rectangle
ABCD is larger than rectangle A′B′C′D′.
H
Rectangle ABCD and rectangle A′B′C′D′ are similar. Rectangle
ABCD is smaller than rectangle A′B′C′D′.
J
Rectangle ABCD and rectangle A B C D are similar. Rectangle
ABCD is the same size as rectangle A′B′C′D′.
25. Which algebraic representation describes the transformation from trapezoid ABCD to trapezoid
A′B′C′D′?
Trapezoid ABCD
Trapezoid A′B′C′D′
A(0, 3)
A′(1, 5)
B(–5, 3)
B′(–4, 5)
C(–1, 6)
C′(0, 8)
D(–4, 6)
D′(–3, 8)
A (x, y) → (x – 1, y + 2)
B (x, y) → (–x, 2y)
C (x, y) → (x + 1, y + 2)
D (x, y) → (–x + 2, y – 1)
x + 1, y + 2