Consider this proof: Given: Triangle ABC is a right triangle with ZB = 90°. Prove: ZA and ZC are complementary angles. %3D Statements 1. AABC is a right triangle 2. ZB is a right angle 3. mZB = 90 Reasons 1. given 2. given 3. definition of right angle 4. the sum of the measures of interior angles in a triangle is 180 5. ? 6. by definition 4. mLA + mZB + m2C = 180 5. mZA+ m2C = 90° 6. ZA and ZC are complementary angles %3D Which reason could be used to justify Statement 5 in this proof? O A definition of complementary O B. subtraction property of equality O C definition of supplementary O D. transitive property of equality
Consider this proof: Given: Triangle ABC is a right triangle with ZB = 90°. Prove: ZA and ZC are complementary angles. %3D Statements 1. AABC is a right triangle 2. ZB is a right angle 3. mZB = 90 Reasons 1. given 2. given 3. definition of right angle 4. the sum of the measures of interior angles in a triangle is 180 5. ? 6. by definition 4. mLA + mZB + m2C = 180 5. mZA+ m2C = 90° 6. ZA and ZC are complementary angles %3D Which reason could be used to justify Statement 5 in this proof? O A definition of complementary O B. subtraction property of equality O C definition of supplementary O D. transitive property of equality
Consider this proof: Given: Triangle ABC is a right triangle with ZB = 90°. Prove: ZA and ZC are complementary angles. %3D Statements 1. AABC is a right triangle 2. ZB is a right angle 3. mZB = 90 Reasons 1. given 2. given 3. definition of right angle 4. the sum of the measures of interior angles in a triangle is 180 5. ? 6. by definition 4. mLA + mZB + m2C = 180 5. mZA+ m2C = 90° 6. ZA and ZC are complementary angles %3D Which reason could be used to justify Statement 5 in this proof? O A definition of complementary O B. subtraction property of equality O C definition of supplementary O D. transitive property of equality
Consider this proof:
Given: Triangle ABC is a right triangle with
Transcribed Image Text:Consider this proof:
Given: Triangle ABC is a right triangle with ZB =90°.
Prove: ZA and ZC are complementary angles.
Reasons
1. given
2. given
3. definition of right angle
4. the sum of the measures of interior angles
in a triangle is 180
5. ?
Statements
1. AABC is a right triangle
2. ZB is a right angle
3. m/B = 90
4. mZA + mLB + mLC = 180°
5. mZA+ m/C = 90*
6. ZA and ZC are complementary angles
6. by definition
Which reason could be used to justify Statement 5 in this proof?
O A definition of complementary
O B. subtraction property of equality
O C. definition of supplementary
O D. transitive property of equality
O Type here to search
梦メ
a
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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