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IM2 Module 16 Test Similar Figures

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Last updated almost 6 years ago
20 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Similar figures, similarity postulates (AA, SSS, ASA, SAS), Scale factor

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1.

Match the term with the correct description by clicking and dragging.

Draggable itemarrow_right_altCorresponding Item

~

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the value we mulitply to dilate a figure

enlargement

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when the scale factor is between 0 and 1

congruent

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when the scale factor is greater than 1

isometric

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same shape, but different size

SSS Similarity Postulate

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same shape and same size

scale factor

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when the scale factor is equal to 1

AA Similarity Postulate

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having the same position

similar

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If two corresponding angles of one triangle are equal to two corresponding angles of another triangle, then the two triangles are similar.

SAS Similarity Postulate

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If three corresponding sides of one triangle are proportional to three sides of another triangle, then the two triangles are similar.

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If two corresponding sides are proportional and one included angle is congruent, then the triangles are similar.

corresponding parts

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congruent

reduction

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similar

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2.

All circles are similar.

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3.

All circles are congruent.

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4.

All triangles are similar.

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5.

All triangles are congruent.

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6.

Similar figures have corresponding angles that are congruent.

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7.

Similar figures have corresponding sides that are congruent.

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8.

In similar figures, the ratios of corresponding sides are equal.

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9.

In similar figures, the corresponding sides are equal.

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10.

In the figure above, which series of transformations can be performed to map triangle MNO to triangle M'N'O'? Select ALL that apply.

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11.

Use the image above and the rules of geometry to find how tall is the tree. Type your answer as "x= " with the correct value.

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12.

Use the figure above to answer the question.

Is triangle EFG similar to triangle LMN?

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13.

Use the figure above to answer the question.

Is triangle ABC similar to triangle DFE ?

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14.

Use the image above to answer the question. Are the two triangles similar? Yes or No. If they are, state which postulate justifies their similarity.

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15.

In the figure above, the two rectangles are similar. Which below is the correct way to set up the proportion? Select all that apply.

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16.

Given the two triangles above are similar, find the value of x. Type your answer as "x=" with the correct value rounded to one decimal place.

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17.

Given that the two triangles above are similar, find the value of x. Type your answer as "x=" and round to one decimal point.

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18.

Given that the two triangles above are similar, find the value of y. Type your answer as "y=" and round to one decimal point.

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19.

Given that the two triangles above are similar, find the value of x. Type your answer as "x=" and round to one decimal point.

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20.

Use the white board tools to perform and draw the dilation of triangle JKL with a scale factor of 2.