Angle Angle Similarity 1

What is the relationship between the corresponding sides of similar triangles?

• The lengths of corresponding sides of similar triangles are equal.

• The lengths of corresponding sides of similar triangles are proportional.

• The lengths of corresponding sides of similar triangles are additive.

• The lengths of corresponding sides of similar triangles are random.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What does it mean if two triangles are not similar?

• Their corresponding angles are not equal or their corresponding sides are not in proportion.

• Their corresponding angles are equal and their corresponding sides are in proportion.

• They have the same area but different perimeters.

• They are both equilateral triangles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If two triangles have one angle equal and the sides including that angle are in proportion, are the triangles similar?

• Yes, they are similar by the Angle-Angle (AA) similarity criterion.

• No, they are not similar.

• They may or may not be similar depending on the third angle.

• They are similar only if all three angles are equal.

Tags

CCSS.HSG.SRT.B.5

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

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

• If the sides of two triangles are proportional, then the triangles are similar.

• If two sides of one triangle are equal to two sides of another triangle, then the triangles are congruent.

• If the angles of a triangle add up to 180 degrees, then the triangle is valid.

Tags

CCSS.HSG.SRT.B.5

Can two triangles be similar if they have the same area?

• Yes, they must be similar if they have the same area.

• No, they can have the same area but different shapes and proportions.

• Yes, all triangles with the same area are similar.

• No, similarity is only determined by angle measures.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the definition of similar triangles?

• Triangles that have the same shape but may differ in size, with corresponding angles equal and corresponding sides proportional.

• Triangles that are identical in size and shape.

• Triangles that have different shapes but the same area.

• Triangles that have one angle equal and the other two angles different.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the importance of corresponding angles in triangle similarity?

• Corresponding angles must be equal for triangles to be considered similar.

• Corresponding angles must be different for triangles to be considered similar.

• Corresponding angles have no effect on triangle similarity.

• Corresponding angles must be supplementary for triangles to be considered similar.

Tags

CCSS.HSG.SRT.A.2

How can you prove that two triangles are similar using side lengths?

• By showing that the angles of the triangles are equal.

• By showing that the ratios of the lengths of corresponding sides are equal.

• By calculating the area of the triangles and comparing them.

• By ensuring that the triangles have the same perimeter.

Tags

CCSS.HSG.SRT.A.2

How can you visually determine if two triangles are similar?

• By comparing their angles and the ratios of their corresponding sides.

• By measuring the lengths of all three sides and ensuring they are equal.

• By checking if they have the same color and shading.

• By ensuring that one triangle is a rotation of the other.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the significance of the scale factor in similar figures?

• It determines the color of the figures.

• It indicates how much larger or smaller one figure is compared to another.

• It shows the angle measurements of the figures.

• It is used to calculate the area of the figures.

Tags

CCSS.7.G.A.1