Match between columns Premises: A 70° angle is 3.5 times as large as a 20° angle. A length of 8 $\frac { 1 } { 2 }$ inches is 4$\frac { 1 } { 4 }$ times longer than 2 inches. A change in the cost of a day's stay at a hospital from $200 to $240 a day is an increase of 120%. A length of 6.5 centimeters is 3.25 times longer than 2 centimeters. The number 3.5 is about 170% of 1.3. If two polygons are similar with scale factor 1, then they are congruent. A price change from $14 to $21 is an increase of 50%. A 75° angle is 2.5 times as large as a 30° angle. If two rectangles have the same area, then they are similar.

The Answer of False and True is...

Exam 20: Similarity

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Susan is 166 centimeters tall, and in the afternoon she casts a shadow about 55 centimeters long. Her sister, who is standing next to her, casts a shadow about 35 centimeters long. About how tall is Susan's sister (to the nearest centimeter)?

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Question 41

Suppose a segment is 5 inches long. A) How long is a segment that is 3 times as long as this segment? B) How long is a segment that is 2 $\frac { 1 } { 2 }$ times longer than this segment? C) How long is a segment that is125% longer than the segment originally given in part A

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Question 42

Explain why or why not the following shapes are similar (or not similar). A) every two rectangular prisms B) every two cubes C) every two pyramids so long as the base is a square region

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Question 43

Determine whether each statement is true or false. If the statement is false, rewrite it so that it is true.

A 70° angle is 3.5 times as large as a 20° angle.

False

A length of 8

\frac { 1 } { 2 }

inches is 4

\frac { 1 } { 4 }

times longer than 2 inches.

True

A change in the cost of a day's stay at a hospital from $200 to $240 a day is an increase of 120%.

Correct Answer:

Verified

A 70° angle is 3.5 times as large as a 20° angle.

A length of 8

\frac { 1 } { 2 }

inches is 4

\frac { 1 } { 4 }

times longer than 2 inches.

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Question 44

A rectangle 10 centimeters by 12 centimeters (width by length) is the image of a shape having length 4 centimeters, for some size change. A) What is the scale factor of the size transformation? B) What are the dimensions of the original shape? C) Are the two quadrilaterals similar? Explain.

(Short Answer)

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Question 45

Suppose you have an L-shaped figure such as the one below. What is the volume of a figure similar to this one rounded to the nearest tenth, with a scale factor of 2.8? Each cube has a volume of 1 cubic unit.

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Question 46

Consider the shape in the figure, made of centimeter cubes glued together face to face. What is the volume of the shape, in cubic centimeters?

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Question 47

Showing 41 - 47 of 47

Susan is 166 centimeters tall, and in the afternoon she casts a shadow about 55 centimeters long. Her sister, who is standing next to her, casts a shadow about 35 centimeters long. About how tall is Susan's sister (to the nearest centimeter)?

Suppose a segment is 5 inches long. A) How long is a segment that is 3 times as long as this segment? B) How long is a segment that is 2 $\frac { 1 } { 2 }$ times longer than this segment? C) How long is a segment that is125% longer than the segment originally given in part A

Explain why or why not the following shapes are similar (or not similar). A) every two rectangular prisms B) every two cubes C) every two pyramids so long as the base is a square region

A rectangle 10 centimeters by 12 centimeters (width by length) is the image of a shape having length 4 centimeters, for some size change. A) What is the scale factor of the size transformation? B) What are the dimensions of the original shape? C) Are the two quadrilaterals similar? Explain.

Suppose you have an L-shaped figure such as the one below. What is the volume of a figure similar to this one rounded to the nearest tenth, with a scale factor of 2.8? Each cube has a volume of 1 cubic unit.

Consider the shape in the figure, made of centimeter cubes glued together face to face. What is the volume of the shape, in cubic centimeters?

Reasoning About Quantities

Numeration Systems

Understanding Whole Number Operations

Some Conventional Ways of Computing

Using Numbers in Sensible Ways

Meanings for Fractions

Computing With Fractions

Multiplicative Comparisons and Multiplicative Reasoning

Ratios, Rates, Proportions, and Percents

Integers and Other Number Systems

Number Theory

What Is Algebra

A Quantitative Approach to Algebra and Graphing

Understanding Change: Relationships Among Time, Distance, and Rate

Further Topics in Algebra and Change

Polygons

Polyhedra

Symmetry

Tessellations

Curves, Constructions, and Curved Surfaces

Transformation Geometry

Measurement Basics

Area, Surface Area, and Volume

Counting Units Fast: Measurement Formulas

Special Topics in Measurement

Quantifying Uncertainty

Determining More Complicated Probabilities

Introduction to Statistics and Sampling

Representing and Interpreting Data With One Variable

Dealing With Multiple Data Sets or With Multiple Variables

Variability in Samples

Special Topics in Probability

Filters

Exam 20: Similarity

Susan is 166 centimeters tall, and in the afternoon she casts a shadow about 55 centimeters long. Her sister, who is standing next to her, casts a shadow about 35 centimeters long. About how tall is Susan's sister (to the nearest centimeter)?

Suppose a segment is 5 inches long. A) How long is a segment that is 3 times as long as this segment? B) How long is a segment that is 2 12\frac { 1 } { 2 }21​ times longer than this segment? C) How long is a segment that is125% longer than the segment originally given in part A

Explain why or why not the following shapes are similar (or not similar). A) every two rectangular prisms B) every two cubes C) every two pyramids so long as the base is a square region

A rectangle 10 centimeters by 12 centimeters (width by length) is the image of a shape having length 4 centimeters, for some size change. A) What is the scale factor of the size transformation? B) What are the dimensions of the original shape? C) Are the two quadrilaterals similar? Explain.

Suppose you have an L-shaped figure such as the one below. What is the volume of a figure similar to this one rounded to the nearest tenth, with a scale factor of 2.8? Each cube has a volume of 1 cubic unit.

Consider the shape in the figure, made of centimeter cubes glued together face to face. What is the volume of the shape, in cubic centimeters?

Reasoning About Quantities

Numeration Systems

Understanding Whole Number Operations

Some Conventional Ways of Computing

Using Numbers in Sensible Ways

Meanings for Fractions

Computing With Fractions

Multiplicative Comparisons and Multiplicative Reasoning

Ratios, Rates, Proportions, and Percents

Integers and Other Number Systems

Number Theory

What Is Algebra

A Quantitative Approach to Algebra and Graphing

Understanding Change: Relationships Among Time, Distance, and Rate

Further Topics in Algebra and Change

Polygons

Polyhedra

Symmetry

Tessellations

Curves, Constructions, and Curved Surfaces

Transformation Geometry

Measurement Basics

Area, Surface Area, and Volume

Counting Units Fast: Measurement Formulas

Special Topics in Measurement

Quantifying Uncertainty

Determining More Complicated Probabilities

Introduction to Statistics and Sampling

Representing and Interpreting Data With One Variable

Dealing With Multiple Data Sets or With Multiple Variables

Variability in Samples

Special Topics in Probability

Filters

Suppose a segment is 5 inches long. A) How long is a segment that is 3 times as long as this segment? B) How long is a segment that is 2 $\frac { 1 } { 2 }$ times longer than this segment? C) How long is a segment that is125% longer than the segment originally given in part A