Question

using everything we have learned so far, add a marking using either the reflexive property or vertical angles. then state how the triangles are congruent.
1)
2)
3)
4)
5)
6)
7)
8)

Explanation:

Step1: Analyze triangle congruence criteria

For each pair of triangles, check the given markings (sides and angles) against the congruence rules (ASA - Angle - Side - Angle, AAS - Angle - Angle - Side, SSS - Side - Side - Side, SAS - Side - Angle - Side, HL - Hypotenuse - Leg for right - angled triangles).

Step2: Identify congruence for each pair

1. In the first pair, two angles and the included side (ASA) are congruent.
2. In the second pair, vertical angles (equal), and two sides (SSS as the sides are marked equal).
3. In the third pair, three sides (SSS) are congruent.
4. In the fourth pair, two angles and a non - included side (AAS) are congruent.
5. In the fifth pair, using reflexive property (a common side) and two angles (AAS).
6. In the sixth pair, two sides and the included angle (SAS).
7. In the seventh pair, three sides (SSS).
8. In the eighth pair (right - angled triangles), hypotenuse and a leg (HL).

Answer:

1. ASA
2. SSS
3. SSS
4. AAS
5. AAS
6. SAS
7. SSS
8. HL