read the proof.
given: $\overline{ae} \perp \overline{ec}; \overline{bd} \perp \overline{dc}$
prove: $\triangle aec \sim \triangle bdc$
image of a geometric figure with points a, e, d, c, b
| statement | reason |
| --- | --- |
| 1. $\overline{ae} \perp \overline{ec}; \overline{bd} \perp \overline{dc}$ | 1. given |
| 2. $\angle aec$ is a rt. $\angle$; $\angle bdc$ is a rt. $\angle$ | 2. definition of perpendicular |
| 3. $\angle aec \cong \angle bdc$ | 3. all right angles are congruent |
| 4.? | 4. reflexive property |
| 5. $\triangle aec \sim \triangle bdc$ | 5. aa similarity theorem |
what is the missing statement in step 4?
$\circ$ $\angle ace \cong \angle bcd$
$\circ$ $\angle eab \cong \angle dbc$
$\circ$ $\angle eac \cong \angle eac$
$\circ$ $\angle cbd \cong \angle dbc$

Question

Accepted Answer

# Explanation:
## Step1: Identify shared angle
The angle at point C is common to both triangles.
## Step2: Apply reflexive property
A common angle is congruent to itself by reflexive property.
## Step3: Match with AA similarity
Step 3 has right angles congruent; step4 needs another congruent angle for AA.

# Answer:
∠ACE ≅ ∠BCD

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify shared angle

Step2: Apply reflexive property

Step3: Match with AA similarity

Answer:

statement	reason
2. \\(\angle aec\\) is a rt. \\(\angle\\); \\(\angle bdc\\) is a rt. \\(\angle\\)	2. definition of perpendicular
3. \\(\angle aec \cong \angle bdc\\)	3. all right angles are congruent
4.?	4. reflexive property
5. \\(\triangle aec \sim \triangle bdc\\)	5. aa similarity theorem