Download 4F Mastering Triangles

4F Mastering Triangles
Name_________________________________________
Are the triangles congruent? If so, state the method by which they are congruent and write a congruence statement.
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What additional information is needed to prove the triangles congruent by the given method?
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11. What are the values of a and b?
12. If the sum of two angles is equal to the third angle,
then the triangle is a right triangle.
-Justify this is true.
-Prove this is true.
Congruent Triangle Proofs
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19. Which of the following must be congruent?
A. Two isosceles triangles with congruent bases.
B. Two isosceles triangles with congruent vertex angles.
C. Two equilateral triangles with one pair of congruent sides.
D. Two right triangles with congruent hypotenuses.
20. Name three side lengths that can form a triangle.
21. Two side lengths of a triangle are 3 and 6. How many
triangles can be made with integer side lengths?
22. ΔABC has m∠A=65° and m∠B=75°. Which side is the
shortest?