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Laabri

3/25/2021-Practice Solving Similar Triangles

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Last updated almost 5 years ago
18 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Match the vocab word with the definition.

Draggable itemarrow_right_altCorresponding Item

Proportion

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compares two values or quantities

Scale Factor

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two ratios are equal. these are helpful in making predictions and finding missing information.

Ratio

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corresponding sides are proportional and corresponding angles are congruent.

Similar

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the ratio of two similar polygon's corresponding sides

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2.

In similar Polygons, corresponding sides ratios are ________ and corresponding angles are _________.

Input your answer with a comma in between the words.

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3.

There are 164 teachers in a school of 382 people (students and teachers only). Find the ratio in simplest form of teachers to students.

*hint, make sure you compare teachers/students and simplify the ratio completely

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4.

Of the 880 students eating lunch, 320 purchased their lunch and the rest brought a bag lunch. Find the ratio in simplest form of the number of students purchasing lunch to the total number of students eating lunch.

*hint, simplify.

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5.

Solve each proportion for x.

*hint, cross multiply, divide and solve

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6.

Solve each proportion for x.

*hint, cross multiply, divide and solve

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7.

Solve each proportion for x.

*hint, cross multiply, divide and solve

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8.

Use the figure and the following proportion to solve the following.

Note,

*round to the nearest whole number.

*hint, try splitting it into two triangles

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9.

Use the figure and the following proportion to solve the following.

Note,

*round to the nearest whole number

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10.

Each pair of polygons is similar, find the value of x. (Remember, sides are proportional, not congruent!!)

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11.

Each pair of polygons is similar, find the value of x. (Remember, sides are proportional, not congruent!!)

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12.

What is the length of the missing side?

The configuration is correct...match up the sides that look like they match and make fractions. Give the side with the question mark the name "x".

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13.

The following triangles are similar. Solve for the ?

*hint, try to separate this into two triangles.

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14.

What is the scale factor of the larger triangle to the smaller? Write this in simplest fraction form.

*hint, large/small.

*hint, scale factor just means ratio.

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15.

A gymnasium is 96 feet long and 75 feet wide.  On a blueprint, the gymnasium is 5.5 inches long.  To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?

*hint, set up a proportion

*round to the nearest tenth

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16.

Are the following triangles similar? Hint, find the ratios between each side length.

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17.

Express the ratio in simplest form. 8 hours to 6 days.

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18.

Find the value of x.