Solutions Manual For Exploring Geometry 2nd Edition By
Michael Hvidsten 9781498760805 ALL CHAPTERS .
1) A(n) ___ is a relationship between two similar quantities. - ANSWER: ratio
2) A ___ is an equation that states that two ratios are equal. - ANSWER: proportion
3) The first and last terms in a proportion are called the ___. - ANSWER: extremes
4) The ___ are the second and third terms in a proportion. - ANSWER: means
5) The Means-Extremes Property states that in a(n) ___, the product of the means is equal to the
product of the extremes. - ANSWER: proportion
7) A ___ is the physical representation of an object to the size of the actual object. - ANSWER: scale
model
8) Choose the correct word.
The number of oranges compared to the total number of fruits in a fruit basket. - ANSWER: ratio
9) Choose the correct word.
The name of the quantities, 3 and 2 in the expression 3:6 = 1:2. - ANSWER: proportion
10) Choose the correct word.
The number of peas to carrots is the same as the number of corn to green beans. - ANSWER:
proportion
11) Choose the correct word.
The name of the quantities x and y in the expression w/x=y/z . - ANSWER: extremes
12) As of August, 2011, Russia has had 21 rocket launch failures out of 743 total launches. To the
nearest whole number, how many failures can be expected from the next 800 launches? - ANSWER:
23
13) Sarah has a picture that fits a 3 inch wide by 5 inch long picture frame. She wants to make the
picture proportionately bigger so the picture fits a frame with a length of 15 inches. What would the
width of the frame need to be? - ANSWER: 13
14) Edy filled her small 150 gallon swimming pool. In 45 minutes, the pool had 90 gallons in it. How
long did it take Edy to fill the pool? - ANSWER: 75
1) The ___ Property of Similarity is a geometric property of similarity that states if one polygon is
similar to a second polygon, then the second polygon is similar to the first polygon. - ANSWER:
Symmetric
2) ___ are polygons whose corresponding angles are congruent and whose corresponding sides are
proportional. - ANSWER: Similar polygons
3) ___ means having the same shape, but not necessarily the same size. - ANSWER: Similar
4) The ___ Property of Similarity is a geometric property of similarity that states if one polygon is
similar to a second polygon, and the second polygon is similar to a third polygon, then the first
polygon is also similar to the third polygon. - ANSWER: Transitive
, 5) The ___ is the ratio of the length of one side of a polygon with the length of a corresponding side of
a similar polygon. - ANSWER: similarity ratio
6) The ___ Property of Similarity is a geometric property of similarity that states that a polygon is
similar to itself. - ANSWER: Reflexive
9) Choose the property represented by the picture. - ANSWER: Transitive Property
10) Choose the property represented by the picture. - ANSWER: reflexive Property
11) Choose the property represented by the picture. - ANSWER: Transitive Property
Choose the correct term.
In a proportion, the product of the means is equal to the product of the extremes. - ANSWER: Means-
Extremes
A _____ is a relationship between two similar quantities. - ANSWER: ratio
Choose the correct term.
If one polygon is similar to a second polygon, and the second polygon is similar to a third polygon,
then the first polygon is also similar to the third polygon. - ANSWER: Transitive
.
Choose the correct term.
If one polygon is similar to a second polygon, then the second polygon is similar to the first polygon. -
ANSWER: Symmetric
Are these polygons similar? - ANSWER: yes
From 1957 to 1999, the Atlas rocket was launched 301 times. The number of launch failures was 44.
At that rate, if it were launched 903 times, how many failures could be expected? - ANSWER: 132
The first and last terms in a proportion are called the _____. - ANSWER: extremes
If Carlos ran 100 meters in 15 seconds, how long would it take him to run 44 meters? - ANSWER: 6.6
seconds
The second and third terms in a proportion are called the _____. - ANSWER: means
A physical representation of an object to the size of the actual object is called a _____. - ANSWER:
scale model
The ___ ratio is the ratio of the length of one side of a polygon with the length of a corresponding side
of a similar polygon. - ANSWER: similarity
A _____ is an equation that states that two ratios are equal. - ANSWER: proportion
The _____ is the ratio of the size of a model of an object to the size of the actual object. - ANSWER:
scale ratio
Choose the correct term.
A polygon is similar to itself - ANSWER: Symmetric
___ polygons are polygons whose corresponding angles are congruent and whose corresponding sides
are proportional. - ANSWER: Similar
Michael Hvidsten 9781498760805 ALL CHAPTERS .
1) A(n) ___ is a relationship between two similar quantities. - ANSWER: ratio
2) A ___ is an equation that states that two ratios are equal. - ANSWER: proportion
3) The first and last terms in a proportion are called the ___. - ANSWER: extremes
4) The ___ are the second and third terms in a proportion. - ANSWER: means
5) The Means-Extremes Property states that in a(n) ___, the product of the means is equal to the
product of the extremes. - ANSWER: proportion
7) A ___ is the physical representation of an object to the size of the actual object. - ANSWER: scale
model
8) Choose the correct word.
The number of oranges compared to the total number of fruits in a fruit basket. - ANSWER: ratio
9) Choose the correct word.
The name of the quantities, 3 and 2 in the expression 3:6 = 1:2. - ANSWER: proportion
10) Choose the correct word.
The number of peas to carrots is the same as the number of corn to green beans. - ANSWER:
proportion
11) Choose the correct word.
The name of the quantities x and y in the expression w/x=y/z . - ANSWER: extremes
12) As of August, 2011, Russia has had 21 rocket launch failures out of 743 total launches. To the
nearest whole number, how many failures can be expected from the next 800 launches? - ANSWER:
23
13) Sarah has a picture that fits a 3 inch wide by 5 inch long picture frame. She wants to make the
picture proportionately bigger so the picture fits a frame with a length of 15 inches. What would the
width of the frame need to be? - ANSWER: 13
14) Edy filled her small 150 gallon swimming pool. In 45 minutes, the pool had 90 gallons in it. How
long did it take Edy to fill the pool? - ANSWER: 75
1) The ___ Property of Similarity is a geometric property of similarity that states if one polygon is
similar to a second polygon, then the second polygon is similar to the first polygon. - ANSWER:
Symmetric
2) ___ are polygons whose corresponding angles are congruent and whose corresponding sides are
proportional. - ANSWER: Similar polygons
3) ___ means having the same shape, but not necessarily the same size. - ANSWER: Similar
4) The ___ Property of Similarity is a geometric property of similarity that states if one polygon is
similar to a second polygon, and the second polygon is similar to a third polygon, then the first
polygon is also similar to the third polygon. - ANSWER: Transitive
, 5) The ___ is the ratio of the length of one side of a polygon with the length of a corresponding side of
a similar polygon. - ANSWER: similarity ratio
6) The ___ Property of Similarity is a geometric property of similarity that states that a polygon is
similar to itself. - ANSWER: Reflexive
9) Choose the property represented by the picture. - ANSWER: Transitive Property
10) Choose the property represented by the picture. - ANSWER: reflexive Property
11) Choose the property represented by the picture. - ANSWER: Transitive Property
Choose the correct term.
In a proportion, the product of the means is equal to the product of the extremes. - ANSWER: Means-
Extremes
A _____ is a relationship between two similar quantities. - ANSWER: ratio
Choose the correct term.
If one polygon is similar to a second polygon, and the second polygon is similar to a third polygon,
then the first polygon is also similar to the third polygon. - ANSWER: Transitive
.
Choose the correct term.
If one polygon is similar to a second polygon, then the second polygon is similar to the first polygon. -
ANSWER: Symmetric
Are these polygons similar? - ANSWER: yes
From 1957 to 1999, the Atlas rocket was launched 301 times. The number of launch failures was 44.
At that rate, if it were launched 903 times, how many failures could be expected? - ANSWER: 132
The first and last terms in a proportion are called the _____. - ANSWER: extremes
If Carlos ran 100 meters in 15 seconds, how long would it take him to run 44 meters? - ANSWER: 6.6
seconds
The second and third terms in a proportion are called the _____. - ANSWER: means
A physical representation of an object to the size of the actual object is called a _____. - ANSWER:
scale model
The ___ ratio is the ratio of the length of one side of a polygon with the length of a corresponding side
of a similar polygon. - ANSWER: similarity
A _____ is an equation that states that two ratios are equal. - ANSWER: proportion
The _____ is the ratio of the size of a model of an object to the size of the actual object. - ANSWER:
scale ratio
Choose the correct term.
A polygon is similar to itself - ANSWER: Symmetric
___ polygons are polygons whose corresponding angles are congruent and whose corresponding sides
are proportional. - ANSWER: Similar
