Ratio and Proportion Problems

Ratio and Proportion Problems - Transcript

Copy the chart Put a check mark in the box if the shape always has the given property
Property
1 Both pairs of opposite sides are II 2 All sides are congruent 3 Exactly one pair of opposite sides are parallel
Rectangle Rhombus Square Trapezoid

Day 5 Problems 2 11 08

Determine whether the quadrilateral is a trapezoid parallelogram rectangle rhombus or square A B D A 4 5
B C D C

Ratio a comparison of a number a and a nonzero number b using division The ratio of a to b can be written in three ways
As a fraction a b As a b As a to b or an equivalent decimal

7 1 Ratio and Proportion

A ratio is usually written in simplest form

Simplify the ratio a 60 cm 200 cm

Simplify Ratios

Write 60 cm 200 cm as a fraction

60cm 200cm 60cm 60 20 200cm 200 20 3 10

Simplify the ratio b 3 ft

Simplify Ratios Cont

18in
3 ft 3 12in 18in 18in

36in 18in 36 18 18 18
Read as 2 to 1

2 1

In the diagram AB BC is 4 1 and AC 30 Find AB and BC
30 A B C

Use Ratios 3 2 07

4x
A B

x
C

Let x BC You know AB to BC is 4 to 1 so you know that AB 4x AB BC AC 4x x 30 AB 4x 4 6 24 5x 30 BC x 6 x 6

The perimeter of a rectangle is 80 feet The ratio of the length to the width is 7 3 Find the length and the width of the rectangle The ratio of length to width is 7 to 3 You can let the length l 7x and the width w 3x
3x

Use Ratios

2l 2w P perimeter 2 7x 2 3x 80 14x 6x 80 20x 80 x 4 L 7x 7 4 28 W 3x 3 4 12 The length is 28 feet and the width is 12 feet

7x