Similar Triangle Proofs

1
Similar Triangle Proofs

• Page 5-7

2
Similar Triangle Proof Notes
A
E
H
F
C
B
To prove two triangles are similar, you only need
to prove that 2 corresponding angles are
congruent.
After proving similar triangles, you can add the
following two steps
- Corresponding sides of similar triangles are
in proportion
- The product of the means equals the product of
the extremes
3
Similar Triangle Proof Notes
A
E
H
F
C
B
Statement
Reason
2. Corresponding sides of similar triangles are
in proportion
3. The product of the means equals the product
of the extremes
4
Pg. 6 1
Statement
Reason
1. Given
2. Given
3. Perpendicular segments form a right angle
4. All right angles are congruent
5. Reflexive postulate
7. Corresponding sides of similar triangles are
in proportion
5
Pg. 6 2
Statement
Reason
1. Given
2. Parallel lines cut by a transversal form
congruent alternate interior angles
4. Corresponding sides of similar triangles are
in proportion
6
Pg. 6 4
Statement
Reason
1. Given
2. Vertical angles are congruent
4. Corresponding sides of similar triangles are
in proportion
7
Pg. 6 5
Statement
Reason
1. Given
2. Given
3. Perpendicular segments form right angles
4. All right angles are congruent
6. Corresponding sides of similar triangles are
in proportion
7. The product of the means equals the product
of the extremes
8
Pg. 7 27
Statement
Reason
1. Given
2. Given
3. Angles opposite congruent sides of a triangle
are congruent
4. An angle bisector divides an angle into two
congruent parts
9
Pg. 7 29
Statement
Reason
1. Given
If LM6, TS9 and MS4, find RM
2. Given
3. Perpendicular segments form right angles
4. All right angles are congruent
5. Reflexive postulate
10
Pg. 7 30
Statement
Reason
1. Given
2. Given
If DE5, AD6 and AB18, find BC
3. Perpendicular segments form right angles
4. All right angles are congruent
5. Reflexive postulate