What does it mean if two triangles are not similar?

It means that their corresponding angles are not equal or their corresponding sides are not in proportion.

What is an example of similar triangles in real life?

The shadows of two objects at the same time of day can form similar triangles.

If triangle ABC is similar to triangle DEF, what can be said about the lengths of their sides?

The lengths of sides AB, BC, and CA are proportional to the lengths of sides DE, EF, and FD respectively.

What is the relationship between the areas of two similar triangles?

The ratio of their areas is equal to the square of the ratio of their corresponding sides.

If triangle XYZ has sides of lengths 3, 4, and 5, and triangle PQR has sides of lengths 6, 8, and 10, are they similar?

Yes, because the sides are in proportion (3:6, 4:8, 5:10).

What is the importance of similar triangles in geometry?

They help in solving problems involving indirect measurement and in understanding the properties of shapes.

Can two triangles be similar if they have only one pair of equal angles?

No, two triangles cannot be similar with only one pair of equal angles; they need at least two pairs of equal angles.

What is a practical application of similar triangles?

Similar triangles can be used in architecture and engineering to create scale models.

Similar Triangles Flashcard

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

2.

FLASHCARD QUESTION

Front

If two triangles are similar, what can be said about their angles?

Back

Their corresponding angles are congruent.

Tags

CCSS.HSG.SRT.A.2

3.

FLASHCARD QUESTION

Front

If two triangles are similar, what can be said about their sides?

Back

Their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

4.

FLASHCARD QUESTION

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

5.

FLASHCARD QUESTION

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

6.

FLASHCARD QUESTION

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

7.

FLASHCARD QUESTION

Front

How can you determine if two triangles are similar using their angle measures?

Back

If the sum of the angles in both triangles equals 180 degrees and the angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

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