It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by third base, second base, and home plate. What can you conclude about the distance from first base to home plate, and from home plate to third base? Explain.
18. (Jesus Christ this one is LONG) It is the same distance from second base to fist base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by third base, second base, and home plate. What can you conclude about the distance from first base to home plate, and from home plate to third base? Explain using your knowledge of congruent triangles.
Answer:
(Home Plate is A, First Base is B, Second Base is C, Third Base is D)
Statements
1. Segment CB is congruent to segment CD
2. Angle BCA is congruent to angle DCA
3. Segment AC is congruent to segment AC
4. Triangle ACD is congruent to triangle ACB
5. Segment AD is congruent to segment AB
Reasons
1. Given
2. Given
3. Reflexive Property
4. SAS
5. CPCTC