Day 4 WS 7­3 Proof of Similar Triangles.notebook
Pre­AP Geometry Worksheet 7­3
Similar Triangles Proofs
January 06, 2016
Name___________________
Date______________Per____
1) Given:
Prove:
Use a flow proof.
2.)
Write a two column proof.
3.) Given:
Prove:
T
P
Q
S
R
Write a two column proof.
1
Day 4 WS 7­3 Proof of Similar Triangles.notebook
4.
5.
January 06, 2016
6.
7.
Determine whether each pair of figures is similar. If so, write the similarity statement. If not, explain your reasoning.
8.
9.
10.
11.
12.
13.
Find x.
14.
15.
16.
2
Day 4 WS 7­3 Proof of Similar Triangles.notebook
Pre­AP Geometry Worksheet 7­3
Similar Triangles Proofs
January 06, 2016
Name___________________
Date______________Per____
1) Given:
Prove:
Use a flow proof.
Given
AA similarity
Vertical <s are ≅
2.)
Write a two column proof.
1. 1. Given
2. <Y and < B are right angles. 2. Def. of right triangle.
3. <Y ≅ < B 3. All right angles are ≅.
4. 4. Given
5. 5. SAS similarity
3.) Given:
Prove:
T
P
Q
S
R
Write a two column proof.
1. 1. Given
2. < P ≅ < S ; <T ≅ <R 2. Lines ll, alt. int. <s are ≅.
or
3. <PQT ≅ <SQR 3. Vertical <s are ≅.
4. 4. AA similarity
5. 5. Corr. sides of similar triangles are proportional. 3
Day 4 WS 7­3 Proof of Similar Triangles.notebook
4.
January 06, 2016
5.
6.
­15
49
10 or ­10
7.
7.2 ft and 4.8 ft
Determine whether each pair of figures is similar. If so, write the similarity statement. If not, explain your reasoning.
8.
9.
10.
No, corr. sides are not proportional.
11.
No, not all corr. <s are ≅.
Yes, rect PQRS WXYZ.
12.
Yes, by SAS similarity. 13.
Yes, by SSS similarity. Yes, by AA similarity. Find x.
14.
15.
22.5
9.6
16.
275 ft
4