Big Ideas Geometry Chapter 8

How can we determine if two polygons are similar?

• Verify if the polygons have congruent diagonals

• Check if the polygons have the same perimeter

• Count the number of sides in each polygon

• Compare the corresponding angles and side lengths of the two polygons.

What is the relationship between the midsegment of a triangle and its parallel side?

• The midsegment of a triangle is not related to the third side.

• The midsegment of a triangle is parallel to the third side and is half the length of that side.

• The midsegment of a triangle is perpendicular to the third side.

• The midsegment of a triangle is longer than the third side.

What is the relationship between the midsegment of a triangle and the third side?

• The midsegment is parallel to the third side and half of its length.

• The midsegment is not related to the third side.

• The midsegment is perpendicular to the third side.

• The midsegment is longer than the third side.

Tell whether the triangles are similar or not.

• a

• b

Find the missing side using proportions.

• a

• b

• c

• d

∠U = ≅

• ∠F
• ∠G
• ∠E

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW
• ΔXZY~ΔNWE
• ΔZYX~ΔENW
• ΔYZX~ΔNWE

What is the height of the Tree?

• 20
• 15
• 30
• 10

State if the triangles are similar by SAS.

• Yes, by SAS Similarity
• Similar but not SAS

• No, not similar

State if the two triangles are similar and the rule that applies.

• Not Similar

• Similar by SAS

• Similar by AA

• Similar by SSS