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2CFULesson5 Perpendicular Lines
By Christopher Mann
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Last updated over 5 years ago
6 questions
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Question 1
1.
Does the definition of perpendicular lines or theorem tell you the following is true:
If segment AB is perpendicular to segment BC, then <ABC is a right angle.
Definition of perpendicular lines
Theorem 2-4 All right angles are congruent
Theorem 2-5 If two lines form congruent adjacent angles, then the two lines are perpendicular.
Theorem 2-6 If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Question 2
2.
Does the definition of perpendicular lines or theorem tell you the following is true:
If segment DC is perpendicular to segment DA, then <7 & <8 are complementary.
Definition of perpendicular lines
Theorem 2-4 All right angles are congruent
Theorem 2-5 If two lines form congruent adjacent angles, then the two lines are perpendicular.
Theorem 2-6 If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Question 3
3.
Does the definition of perpendicular lines or theorem tell you the following is true:
If <4 is congruent to <6, then segment AC is perpendicular to segment BD
Definition of perpendicular lines
Theorem 2-4 All right angles are congruent
Theorem 2-5 If two lines form congruent adjacent angles, then the two lines are perpendicular.
Theorem 2-6 If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Question 4
4.
For the following image you are given the following:
ray BE is perpendicular to line AC
ray BD is perpendicular to ray BF.
m<2 = 2x+10
m<3 = 40
Find the value of x.
Question 5
5.
For the following image you are given the following:
ray BE is perpendicular to line AC
ray BD is perpendicular to ray BF.
m<1 = 2x
m<2 = 2x + 10
m<3 = 3x - 20
m<4 = 3x - 10
Find the value of x.
Question 6
6.
For the following image you are given the following:
ray BE is perpendicular to line AC
ray BD is perpendicular to ray BF.
m<1 = 7x
m<2 = 7x + 6
m<3 = 5x + 12
m<4 = 8x
Find the value of x.