If $$ \triangle ABC $$ is similar to $$ \triangle DEF $$ , what can we say about $$ \frac{AB}{DE} $$ ?

$$ \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF} $$ , meaning the ratios of corresponding sides are equal.

If $$ \triangle PQR $$ is similar to $$ \triangle STU $$ , what angle corresponds to $$ \triangle PQR $$ 's angle $$ \theta $$ ?

The angle that corresponds to $$ \theta $$ in $$ \triangle STU $$ is the angle that is equal to $$ \theta $$ .

If $$ \triangle ABC $$ is similar to $$ \triangle XYZ $$ , and $$ AB = 4 $$ and $$ XY = 8 $$ , what is the ratio of their corresponding sides?

The ratio of their corresponding sides is $$ \frac{AB}{XY} = \frac{4}{8} = \frac{1}{2} $$ .

What is the significance of corresponding sides and angles in geometry?

They help in determining the similarity of triangles and solving problems related to triangle properties.

If $$ \triangle ABC $$ is similar to $$ \triangle DEF $$ , and $$ \frac{AC}{DF} = 2 $$ , what can we infer about the other sides?

The other sides will also have the same ratio of 2, meaning $$ \frac{AB}{DE} = 2 $$ and $$ \frac{BC}{EF} = 2 $$ .

What is the angle correspondence rule for similar triangles?

If two triangles are similar, then each angle in one triangle corresponds to an equal angle in the other triangle.

How do you find a corresponding side in similar triangles?

To find a corresponding side, use the ratio of the known sides and apply it to the unknown side.

What is the definition of similarity in geometry?

Similarity in geometry refers to figures that have the same shape but may differ in size.

If $$ \triangle ABC $$ is similar to $$ \triangle DEF $$ , and $$ \triangle ABC $$ has angles $$ 30^\text{o}, 60^\text{o}, 90^\text{o} $$ , what are the angles of $$ \triangle DEF $$ ?

The angles of $$ \triangle DEF $$ will also be $$ 30^\text{o}, 60^\text{o}, 90^\text{o} $$ .

What is the importance of understanding corresponding sides and angles?

Understanding corresponding sides and angles is crucial for solving problems involving similar triangles and for applications in real-world scenarios.

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

The two triangles are similar by the Angle-Side-Angle (ASA) similarity criterion.

Corresponding Sides and Angles Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What are corresponding sides in similar triangles?

Back

Corresponding sides are the sides of two or more similar triangles that are in proportion to each other.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

2.

FLASHCARD QUESTION

Front

What are corresponding angles in similar triangles?

Back

Corresponding angles are the angles in two or more similar triangles that are equal to each other.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.SRT.A.2

4.

FLASHCARD QUESTION

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.SRT.A.2

6.

FLASHCARD QUESTION

Front

What is the relationship between the angles of similar triangles?

Back

The angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.SRT.A.2

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