Guided Practice #1
Your Turn #1
Decide whether the figures are similar. If they are similar, write a similarity statement.
Start by naming the corresponding angles.
∠P ≅ ∠___
Answer: L
∠Q ≅ ∠___
Answer: M
∠R ≅ ∠___
Answer: N
∠S ≅ ∠___
Answer: O
Are the corresponding angles congruent? Yes or No
Answer: yes
Now, let's set up the side length ratios and see if they are equal. Start by naming the ratios.
Answer: LM
Answer: MN
Answer: NO
Answer: LO
Substitute in the values of the sides.
Answer: 6/9
Answer: 8/12
Answer: 6/9
Answer: 10/15
Simplify
Answer: 2/3
Answer: 2/3
Answer: 6/9
Answer: 2/3
Are the sides proportional? Yes or No
Answer: Yes
Since all angles are congruent and sides proportional, we can write the similarity statement.
PQRS ∼ ___
Answer: LMNO
Your Turn #2
Decide whether the figures are similar. If they are similar, write a similarity statement.
Let's start by looking at the angles. Are there any angles marked as congruent in TUVW and EFGH? Yes or No
Answer: No
Since the angles are not congruent, TUVW is not similar to EFGH.
