Parts in Similar Triangles and Similarity Transformations

Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)

• SSS

• SAS

• AA

• None, the triangles are not similar

Which series of transformations could be used to show ΔABE is similar to ΔDCE?

• Reflection over BC and a dilation of ¹/₂ about point E

• Reflection over AD and a dilation of ¹/₂ about point E

• Rotation 90^o about point E and a dilation of ¹/₂ about point E

• Rotation 180^o about point E and

If ABCD ~ PQRS, find the value of RS.

Mathematical Equivalence

ON

Tags

CCSS.MATH.CONTENT.HSG.SRT.A.2

What is the scale factor from ABCD to MNOP?

• 2/3

• 3/2

• 2

• 3

What is the value of X?

• X=4

• X=6

• X=3

• X=2

Triangle ABC ~ Triangle DEF. Each side of Triangle ABC is 1.5 times longer than the corresponding sides of Triangle DEF. If the perimeter of Triangle ABC is 36 centimeters, what is the perimeter of Triangle DEF?

• 54 cm

• 24 cm

• 18 cm

• 12 cm

The two triangles shown in the figure are similar. Find the distance d across the river.

• 81 m

• 25 m

• 18 m

• 16 m

Determine if the two figures are similar by using transformations.

• Similar; a reflection and a dilation map one figure onto the other

• Similar; a rotation and a dilation map one figure onto the other.

• Similar; a translation and a dilation map one figure onto the other.

• The figures are not similar.

Determine whether the triangles are similar. If not, explain why not.

Write a proportion comparing the rise to the run for each of the similar slope triangles and find the numeric value.