Statements
Reasons
Given: ABCD is a rectangle.
Prove: ABCD has congruent diagonals.
B
С
1. ABCD is a rectangle
1. given
✓x
2. draw AC and BD
2. unique line postulate
3. ZBAD and LCDA are right
angles
3. def. of a rectangle
4. ZBAD CDA
4. all right angles are
congruent
А
D
5. ABCD is a parallelogram
5. def. of a rectangle
Identify the steps that complete the proof.
6. AB CD
6.
7. AD AD
7. reflexive property
8. ABAD ADCB
8.
9. BD AC
9.
Intro
The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap