Similarity Transformations Given Two Figures: CCSS.Math.Content.HSG-SRT.A.2

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Geometry › Similarity Transformations Given Two Figures: CCSS.Math.Content.HSG-SRT.A.2

Questions 1 - 10
1

Which of the other triangles is similar to ?

Plot6

Plot6.1

Plot6.2

Plot6.3

None of the answers.

Explanation

Plot6.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

First, add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

2

Which of the other triangles is similar to ?

Plot2

Plot2.1

Plot2.2

Plot2.3

None of the above

Explanation

First perform some simple math to figure out what the missing angle is in the original picture.

Plot2

First add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

Plot2.1

This is the correct answer because it has similar angles.

The other pictures don't have similar answers.

3

Which of the other triangles is similar to ?

Plot3

Plot3.1

Plot3.2

Plot3.3

None of the answers.

Explanation

First perform some simple math to figure out what the missing angle is in the original picture.

Plot3

First add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

Plot3.1

This is the correct answer because it has similar angles.

The other pictures don't have similar answers.

4

Which of the other triangles is similar to ?

Plot5

Plot5.1

Plot5.2

Plot5.3

None of the answers.

Explanation

Plot5.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Add the two known angles together and then recall that all interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

5

Which of the other triangles is similar to ?

Plot9

Plot9.1

Plot7.1

Plot9.3

None of the answers.

Explanation

Plot9.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

6

Which of the other triangles is similar to ?

Plot1

Plot1.1

Plot1.2

Plot1.3

None of the above

Explanation

The correct image is as follows.

Plot1.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Looking at the original picture,

Plot1

the two known angles can be added together. Recall all interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

7

Which of the other triangles is similar to ?

Plot12

Plot12.1

Plot12.2

Plot12.3

None of the answers.

Explanation

Plot12.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

8

Which of the other triangles is similar to ?

Plot4

Plot4.1

Plot4.2

Plot4.3

None of the answers.

Explanation

Plot4.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

First add the two known angles together and then recall that all interior angles of a triangle must have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

9

Which of the other triangles is similar to ?

Plot11

Plot11.1

Plot11.2

Plot11.3

None of the answers.

Explanation

Plot11.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

10

Which of the other triangles is similar to ?

Plot10

Plot10.1

Plot10.2

Plot10.3

None of the answers.

Explanation

Plot10.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

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