## Envision Math Grade 8 Volume 1 Chapter 6 Congruence And Similarity

**Page 295 Exercise 1 Answer**

Given:

____ have a sum of 90^{∘}.

To find:

Choose the best term to complete the sentence.

According to the tip mentioned above, we can conclude that angles are complementary when they add up to 90^{∘}.

Hence,

Complementary Angles have a sum of 90^{∘}.

**Page 295 Exercise 2 Answer**

Given:.

____ share the same ray.

To find:

Choose the best term to complete the sentence.

According to the tip mentioned above, we can conclude that angles are adjacent angles when they share the same ray.

Hence,

Adjacent angles share the same ray.

**Page 295 Exercise 3 Answer**

Given:.

____ are pairs of opposite angles made by intersecting lines.

To find:

Choose the best term to complete the sentence.

According to the tip mentioned above, we can conclude that angles are vertical when they make pairs of opposite angles by intersecting lines.

Hence,

Vertical angles are pairs of opposite angles made by intersecting lines.

**Page 295 Exercise 4 Answer**

Given:.

____have a sum of 180^{∘}

To find:

Choose the best term to complete the sentence.

According to the tip mentioned above, we can conclude that angles are supplementary when they add up to make an angle of 180^{∘}.

Hence,

Supplementary angles have a sum of 180^{∘}.

**Page 295 Exercise 6 Answer**

Given:

Two integers 6 and \(\frac{1}{2}\)

To find:

The multiplicative sum of the two integers.

In order to find the multiplication of the two integers, we have to multiply the first integer with the second integer.

Hence, 6 x \(\frac{1}{2}\) = 3.

**Page 295 Exercise 8 Answer**

Given:

To find:

Point W

In order to find the point W

we have to refer to the tip mentioned and follow the following steps.

Move up to the x−axis starting from the point W.

It follows that the x−coordinate of point W is −4

Move right to the y−axis from the point W

It follows that the y−coordinate of point W is −3

The coordinates of point W are (−4,−3)

Hence, the coordinates of point W are (−4,−3)

**Page 295 Exercise 9 Answer**

Given:

To find:

Point X

In order to find the point X, we have to refer to the tip mentioned and follow the following steps.

Move downwards towards x−axis starting from the point X. Thus, the value of x−coordinate is −2

Move rightwards towards y−axis from the point X. Thus the value of y− coordinate is 2

Thus the coordinates of the point X(x,y) are (−2,2)

Hence, coordinates of the pointX(x,y) are (−2,2)

**Page 295 Exercise 10 Answer**

Given:

To find:

Point Y

In order to find the point Y, we have to refer to the tip mentioned and follow the following steps.\

Move downwards towards x−axis starting from the point Y. Thus, the value of x−coordinate is 3

Move leftwards towards y−axis from the point Y. Thus the value of y−coordinate is 5

The coordinates of the point Y are (3,5)

The coordinates of point Y are (3,5).

**Page 295 Exercise 11 Answer**

Given:

To find:

Point Z

In order to find the point Z, we have to refer to the tip mentioned and follow the following steps.

Move upwards towards x−axis starting from the pointZ. Thus, the value of x−coordinate is 2

Move rightwards towards y−axis from the point Z. Thus the value of y−coordinate is −3

Thus, coordinates of point Z are (2,−3)

Hence, the coordinates of point Z are (2,−3)

**Page 295 Exercise 12 Answer**

Given:

One angle from the pair of supplementary is 130^{∘}

The missing angle.

In order to find the missing angle we have to refer to the tip and subtract the angle given from 180^{∘}.

Calculation:

The sum of the supplementary angles = 180^{∘}

Angle given = 130^{∘}

If the angles are supplementary then their sum will be equal to 180^{∘}

Therefore,

Missing angle =180 − 130

=180 − 130

= 50^{∘}

Hence, the missing angle is equal to 50^{∘}.

**Page 295 Exercise 13 Answer**

Given:.

One angle from the pair of supplementary is 139^{∘}

To find:

The missing angle.

In order to find the missing angle we have to refer to the tip and subtract the angle given from 180∘.

Calculation:

The sum of the supplementary angles =180^{∘}

Angle given = 139^{∘}

If the angles are supplementary then their sum will be equal to 180^{∘}

Therefore,

Missing angle

= 180 − 139

= 41^{∘}

Hence, the missing angle is equal to 41^{∘}.