DIRECTIONS Read each question. Then circle the letter for the correct answer. 1 Which proportion correctly models the relationship between the side lengths of the similar figures below? 3 Which of the following statements is NOT true regarding dilation and similar polygons? 7.5 ft A All similar polygons are dilations of one another. B All dilations of a polygon will be similar. 12 ft 12 ft C Not all dilations of a polygon are necessarily similar. 6 ft D Not all polygons are similar. 5 ft A j- c号-發 4 Triangle TUV has sides that measure 12, 8, and 6. Triangle XYZ has sides that measure 8, 6, and 3. Can triangles TUV and XYZ be similar polygons? 2 Elisa wants to find the height of a fir tree. She is 5 feet tall. When Elisa's shadow is as shown, the tree casts a shadow 12 feet longer than her shadow. F Yes. Regardless of the lengths of the sides, you can always join them by angles that form similar triangles. G Yes. The ratio 12:6 is the same as the ratio 6:3. H No. The ratio 12:6 is the same as the ratio 6:3. J No. The ratio of the longest sides is 12:8 and the shortest sides is 8:3. 5t 5 In two similar rectangles, the lengths of two of the corresponding sides are 2 cm and 6 cm. If the perimeter of the larger rectangle is 18 cm, what is the perimeter of the smaller rectangle? How tall is the tree? F 10 ft G 15 ft A 6 cm B 9 cm C 36 cm H 17 ft 18 ft 54 cm

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10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Lesson 4
|Ratios of Similar Shapes
STAAR Assessment
DIRECTIONS Read each question. Then circle the letter for the correct answer.
1 Which proportion correctly models the
relationship between the side lengths of
the similar figures below?
3 Which of the following statements is
NOT true regarding dilation and similar
polygons?
7.5 ft
A All similar polygons are dilations of
one another.
4 ft
B All dilations of a polygon will be similar.
12 ft
C Not all dilations of a polygon are
necessarily similar.
12 ft
6 ft
D Not all polygons are similar.
5 ft
A -
c 2 - 4
4 Triangle TUV has sides that measure 12, 8,
and 6. Triangle XYZ has sides that measure
8, 6, and 3. Can triangles TUV and XYZ be
similar polygons?
D -
F Yes. Regardless of the lengths of the
sides, you can always join them by
angles that form similar triangles.
2 Elisa wants to find the height of a fir tree.
She is 5 feet tall. When Elisa's shadow is
as shown, the tree casts a shadow 12 feet
longer than her shadow.
G Yes. The ratio 12:6 is the same as the
ratio 6:3.
H No. The ratio 12:6 is the same as the
ratio 6:3.
J No. The ratio of the longest sides is
12:8 and the shortest sides is 8:3.
5 ft
5 In two similar rectangles, the lengths of
two of the corresponding sides are 2 cm
and 6 cm. If the perimeter of the larger
rectangle is 18 cm, what is the perimeter
of the smaller rectangle?
How tall is the tree?
F 10 ft
G 15 ft
H 17 ft
A 6 cm
в 9 ст
с 36 ст
D 54 cm
18 ft
26
Mathematics • Level H
Copying is ilegal.
Measuring
the Texas Essential Knowledge and Skils
Transcribed Image Text:Lesson 4 |Ratios of Similar Shapes STAAR Assessment DIRECTIONS Read each question. Then circle the letter for the correct answer. 1 Which proportion correctly models the relationship between the side lengths of the similar figures below? 3 Which of the following statements is NOT true regarding dilation and similar polygons? 7.5 ft A All similar polygons are dilations of one another. 4 ft B All dilations of a polygon will be similar. 12 ft C Not all dilations of a polygon are necessarily similar. 12 ft 6 ft D Not all polygons are similar. 5 ft A - c 2 - 4 4 Triangle TUV has sides that measure 12, 8, and 6. Triangle XYZ has sides that measure 8, 6, and 3. Can triangles TUV and XYZ be similar polygons? D - F Yes. Regardless of the lengths of the sides, you can always join them by angles that form similar triangles. 2 Elisa wants to find the height of a fir tree. She is 5 feet tall. When Elisa's shadow is as shown, the tree casts a shadow 12 feet longer than her shadow. G Yes. The ratio 12:6 is the same as the ratio 6:3. H No. The ratio 12:6 is the same as the ratio 6:3. J No. The ratio of the longest sides is 12:8 and the shortest sides is 8:3. 5 ft 5 In two similar rectangles, the lengths of two of the corresponding sides are 2 cm and 6 cm. If the perimeter of the larger rectangle is 18 cm, what is the perimeter of the smaller rectangle? How tall is the tree? F 10 ft G 15 ft H 17 ft A 6 cm в 9 ст с 36 ст D 54 cm 18 ft 26 Mathematics • Level H Copying is ilegal. Measuring the Texas Essential Knowledge and Skils
2:52 1
ul LTE O
( Classroom
A app.classkick.com
Lesson 36
Properties of Transformations
STAAR Assessmont
DIR
DIRECTIONS Read each question. Then circle the letter for the correct answer.
Rea
bes
circ
1 Which algebraic representation could be
a transformation that takes the pre-image
from Quadrant IV to an image that is
congruent, has the same orientation, and
is in the same quadrant? Note: a>1 and
b+0.
A figure has vertices labeled alphabetically
from M, in the counterclockwise direction.
Which single transformations result in an
image with vertices labeled alphabetically
from M in the cockwise direction?
I. Rotation 180* clockwise
II. Rotation 270° clockwise
III. Reflection across the x-axis
IV. Reflection across the y-axis
A I only
B III and IV only
C I and Il only
D I, II, II, and IV
QIV
A (K y)(-Y, x)
4 Rhonda claims that she can reflect the
rectangle across the y-axis to get an
identical rectangle to the one created by
B (X, y)(-X, y)
с (к, у) (ах, ау)
the transformation (x, y)(x + 3, y + 0).
D (x, y)(x+a, y+ b)
2 Jerome is buying fencing to build a dog run
in his backyard as shown.
House
He decides to move the dog run according
to the transformation (x, y)Cy, -x). How
is the cost of his project material affected?
Is she correct? Why or why not?
F The cost increases.
F Yes, the rectangles are congruent with
identical orientation.
G The cost decreases.
G No, one rectangle changes orientation.
H The cost stays the same.
H No, the rectangles are not congruent.
J The values for x and y must be known
J No. the rectangles are not congruent
and have different orientations.
Meng lto e Te Ee K nd S
to determine the effect.
.
Mathematics Level
Coping is eg.
Pepl
8/8 -
•..
+
Transcribed Image Text:2:52 1 ul LTE O ( Classroom A app.classkick.com Lesson 36 Properties of Transformations STAAR Assessmont DIR DIRECTIONS Read each question. Then circle the letter for the correct answer. Rea bes circ 1 Which algebraic representation could be a transformation that takes the pre-image from Quadrant IV to an image that is congruent, has the same orientation, and is in the same quadrant? Note: a>1 and b+0. A figure has vertices labeled alphabetically from M, in the counterclockwise direction. Which single transformations result in an image with vertices labeled alphabetically from M in the cockwise direction? I. Rotation 180* clockwise II. Rotation 270° clockwise III. Reflection across the x-axis IV. Reflection across the y-axis A I only B III and IV only C I and Il only D I, II, II, and IV QIV A (K y)(-Y, x) 4 Rhonda claims that she can reflect the rectangle across the y-axis to get an identical rectangle to the one created by B (X, y)(-X, y) с (к, у) (ах, ау) the transformation (x, y)(x + 3, y + 0). D (x, y)(x+a, y+ b) 2 Jerome is buying fencing to build a dog run in his backyard as shown. House He decides to move the dog run according to the transformation (x, y)Cy, -x). How is the cost of his project material affected? Is she correct? Why or why not? F The cost increases. F Yes, the rectangles are congruent with identical orientation. G The cost decreases. G No, one rectangle changes orientation. H The cost stays the same. H No, the rectangles are not congruent. J The values for x and y must be known J No. the rectangles are not congruent and have different orientations. Meng lto e Te Ee K nd S to determine the effect. . Mathematics Level Coping is eg. Pepl 8/8 - •.. +
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