If $$ \triangle RST \text{ and } \triangle UVW $$ are similar, what is a possible similarity statement?

$$ \triangle RST \text{ is similar to } \triangle UVW $$ .

What is the scale factor if $$ \triangle RST $$ is similar to $$ \triangle UVW $$ and the lengths of corresponding sides are 5 and 6 respectively?

The scale factor is $$ \frac{5}{6} $$ .

Are the following polygons similar? If yes, write a similarity statement: $$ \triangle ABC $$ and $$ \triangle DEF $$ with corresponding angles equal and sides in proportion.

Yes, they are similar. A possible similarity statement is $$ \triangle ABC \text{ is similar to } \triangle DEF $$ .

What is the relationship between corresponding sides of similar figures?

The ratios of the lengths of corresponding sides are equal.

If two triangles have sides in the ratio of 3:4, what can be said about their similarity?

The triangles are similar by the Side-Side-Side (SSS) similarity criterion.

What is the definition of similar figures?

Similar figures are figures that have the same shape but may differ in size.

If $$ \triangle XYZ $$ is similar to $$ \triangle PQR $$ and the length of side XY is 10 and side PQ is 15, what is the scale factor?

The scale factor is $$ \frac{10}{15} = \frac{2}{3} $$ .

What is the Angle-Angle (AA) criterion for similarity?

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

If two polygons are similar, what can be said about their perimeters?

The ratio of their perimeters is equal to the ratio of their corresponding sides.

What is the significance of the symbol '∼' in geometry?

It indicates that two figures are similar.

If $$ \triangle ABC \text{ and } \triangle DEF $$ are similar with a scale factor of $$ \frac{1}{2} $$ , what is true about their areas?

The area of $$ \triangle ABC $$ is one-fourth the area of $$ \triangle DEF $$ .

2024 Geometry-Similar fig. Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is true about the angles in similar figures?

Back

All angles in similar figures are congruent.

2.

FLASHCARD QUESTION

Front

What does the symbol '~' stand for?

Back

is similar to.

3.

FLASHCARD QUESTION

Front

What does the symbol '≅' stand for?

Back

is congruent to.

4.

FLASHCARD QUESTION

Front

What is true about the shape and size of similar figures?

Back

Similar figures have the same shape but not necessarily the same size.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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