# Lesson 8Relationships with MeaningSolidify Understanding

## Ready

### 1.

Write the formula for each measurement.

Area of a circle

#### b.

Volume of a rectangular prism

#### c.

Volume of a cylinder

#### d.

Area of a rectangle

#### e.

Perimeter of a rectangle

#### f.

Circumference of a circle

### 2.

Find the perimeter and area for the rectangle.

### 3.

Find the circumference and area for the circle.

### 4.

Find the volume and surface area of the prism.

## Set

Based on the given trigonometric ratio, sketch a triangle and find a possible value for the missing side as well as the other missing trigonometric ratios. Label angles and as the two non-right angles in the right triangle.

### 5.

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, .

, .

Sketch of triangle:

### 6.

, .

,

, .

Sketch of triangle:

### 7.

, .

, .

, .

Sketch of triangle:

### 8.

, .

,

, .

Sketch of triangle:

Given a right triangle with angles and as the non-right angles. Determine if the statements are true or false. Justify your reasoning and show your argument.

### 11.

Use a trigonometric equation to find the unknown side. Round values to the nearest tenth.

## Go

Find the slope of each line.

### 17.

Find the missing length in each right triangle. Then determine the slope of the hypotenuse given that the legs of the triangle are vertical and horizontal.

### 18.

Missing length:

Slope of hypotenuse:

### 19.

Missing length:

Slope of hypotenuse:

### 20.

Missing length:

Slope of hypotenuse: