Triangle Similarity Warmup 3

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar

Answer explanation

The triangles are not similar because they do not satisfy any of the similarity criteria (AA, SAS, SSS). Their angles and side lengths do not correspond in a way that would indicate similarity.

Tags

CCSS.HSG.SRT.B.5

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar

Answer explanation

The triangles are similar by SSS (Side-Side-Side) similarity, as all three corresponding sides of the triangles are in proportion, confirming their similarity.

Tags

CCSS.HSG.SRT.B.5

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar

Answer explanation

The triangles are similar by SAS (Side-Angle-Side) because they have two pairs of proportional sides and the included angle is equal. This indicates that the triangles maintain the same shape, confirming their similarity.

Tags

CCSS.HSG.SRT.B.5

• ∆MNQ∼∆OPN
• ∆MNQ∼∆NOP
• ∆MNQ∼∆ONP

Tags

CCSS.HSG.SRT.A.2

• 6 feet
• 26 feet
• 36 feet
• 72 feet

Tags

CCSS.HSG.SRT.B.5

Assuming the tree is 72 feet tall, find the new distance for the sister.

• 6 feet

• 26 feet

• 36 feet

• 58 feet

Answer explanation

To find the new distance for the sister, we can use the height of the tree. Given the tree is 72 feet tall, the correct distance is 36 feet, which is a reasonable proportion of the tree's height.

Tags

CCSS.HSG.SRT.B.5