If $$ \triangle PRQ \text{ is similar to } \triangle DEF $$ , what can we say about their angles?

The angles $$ \triangle PRQ $$ and $$ \triangle DEF $$ are equal.

If the scale factor of $$ \triangle PRQ $$ to $$ \triangle DEF $$ is 5:6, what does this imply about their sides?

This implies that for every 5 units of length in $$ \triangle PRQ $$ , there are 6 units of length in $$ \triangle DEF $$ .

What is the value of $$ m\triangle D $$ if $$ \triangle PRQ \text{ is similar to } \triangle DEF $$ and the corresponding angle is 56 degrees?

$$ m\triangle D = 56 $$ degrees.

What is the definition of similar figures?

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

If two angles are complementary, what is their sum?

The sum of two complementary angles is 90 degrees.

What does it mean for angles to be supplementary?

Supplementary angles are two angles whose sum is 180 degrees.

If the corresponding sides of two similar triangles are in the ratio 2:3, what can we say about their areas?

The areas of the triangles are in the ratio of the squares of the sides, which is 4:9.

What is the definition of vertical angles?

Vertical angles are the angles opposite each other when two lines cross. They are always congruent.

If $$ m\triangle D = 56 $$ degrees, what can we conclude about the corresponding angle in $$ \triangle PRQ $$ ?

The corresponding angle in $$ \triangle PRQ $$ is also $$ 56 $$ degrees.

What is the significance of the scale factor in geometry?

The scale factor helps determine the proportional relationship between the dimensions of similar figures.

Unit 1 Shadows Test Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

2.

FLASHCARD QUESTION

Front

What is the relationship between corresponding angles of similar polygons?

Back

The corresponding angles of similar polygons are congruent.

3.

FLASHCARD QUESTION

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that have the same shape and size.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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