Answer: Angles:
- Angle ABC corresponds to angle DEF.
- Angle BCA corresponds to angle EFD.
- Angle CAB corresponds to angle DFE.Sides:
Sides
- Side AB corresponds to side DE.
- Side BC corresponds to side EF.
- Side AC corresponds to side DF.
By identifying these corresponding parts, we can determine that the two triangles are congruent.
Explanation:
To mark up the corresponding congruent angles and sides, we need to compare the two triangles and identify the matching parts.
Let's start by looking at the angles:
1. Angle ABC corresponds to angle DEF because they are both acute angles.
2. Angle BCA corresponds to angle EFD because they are both right angles.
3. Angle CAB corresponds to angle DFE because they are both obtuse angles.
Now let's move on to the sides:
1. Side AB corresponds to side DE because they are both the shortest sides in their respective triangles.
2. Side BC corresponds to side EF because they are both longer sides compared to AB and DE, but shorter than AC and DF.
3. Side AC corresponds to side DF because they are both the longest sides in their respective triangles.
To summarize, the corresponding congruent angles and sides are as follows:
Angles:
- Angle ABC corresponds to angle DEF.
- Angle BCA corresponds to angle EFD.
- Angle CAB corresponds to angle DFE.
Sides:
- Side AB corresponds to side DE.
- Side BC corresponds to side EF.
- Side AC corresponds to side DF.
By identifying these corresponding parts, we can determine that the two triangles are congruent.