Proportion & Ratios $100 $200 $300 $500 $400 Similar Polygons $400 $300 $200 $100 $500 Similar...

Proportion

& Ratios

Similar

Polygons

Similar

Triangles

Proportions in Triangles

Proportions for $100

Two ratios that are equal

Find the ratio of the length to the width of the rectangle and simplify.

60 feet

78 feet

The similarity ratio of two rectangles is 4:5. What is the ratio of the perimeters

and the areas?

The area of a regular octagon is 35 cm2. What is the area of a regular octagon with side six

times as large?

Similar Polygons for $100

If two polygons are similar then

1) Corresponding __________ are congruent

2) Corresponding sides are __________.

Determine if the two figures are similar and

explain:

The measures of the corresponding sides of the polygons are proportional. If AD = 6, DC = 3, and WZ = 33, find YZ. (not drawn to scale)

The two polygons are similar. Find the value of x.

The polygons below are similar, but not necessarily drawn to

scale. Find the values of x and y.

Similar Triangles for $100

What are the three different ways to prove triangles similar?

Are equilateral triangles always similar? What would be the easiest way to prove your

answer?

Are the two triangles similar? If so, tell which theorem you used

and explain why.

Are the triangles similar? If so, tell which theorem you used and explain

Explain why the triangles are similar. Then find the

value of x.

4.525º

Similar Triangles for $500Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is

not scale. F

92m 73.8m

Proportions in Triangles for $100

Use the Side-Splitter Theorem to find x

given that PQ || BC.A

Given AE || BD solve for x

Find x to the nearest tenth. Given that angle BAC is congruent to angle CAD

Solve for x and y

In Lexington Main Street, Vine Street, and High Street are parallel streets that intersect South and North Upper. How long is the walk from

Main Street to Vine Street along South Upper?

High St

Main St

Vine St

North UpperSouth Upper

Final Jeopardy Question

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