Question

4. Classify the triangle by its sides. The lengths of the sides are 9, 9, and 9.

A) equilateral
B) scalene
C) obtuse
D) isosceles

7. 

Line a is parallel to line b and m.(Angle 7 ) = 135 Find  m(angle 4) 
A) 135
B) 145
C) 45
D) 35

8.  Find the values of x and y for which the lines are parallel. 
A)   x = 68, y = 72
B) x = 46, y = 72
C) x = 68, y = 74
D) x = 72, y = 68

11. Look at the figure. If Angle 1 Is Congruent To angle 2 , describe the relationship between lines a and b.
A)   The lines are perpendicular.
B) The lines are parallel.
C) The lines intersect.
D) The lines are transversals.

12.  Find the value of x for which the lines are parallel.
A) 63
B) 71
C) 64
D) 72

Answer 1

The answer to #4 is A equilateral because all the sides are the same. the sides are equal.
# 7 would be c, 45 you have to make sure the sum is 180 #8 is B the same goes for that on fill in x and y. #11 isD And # 12 is c the sum must be 180.

Answer 2

4. Option A is correct.

7. Option C is correct.

8. Option A is correct.

11. Option B is correct.

12. Option C is correct

Explanation:

4.

The sides of equilateral triangle are same.

It is given that lengths of the sides are 9, 9, and 9.

Since the side lengths are same, therefore the given triangle is an equilateral triangle.

Option A is correct.

7.

It is given that the line a is parallel to line b and the measure of angle 7 is 135 degree.

`\angle 6+\angle 7=180^(\circ)` (Supplementary angles)

`\angle 6+135^(\circ)=180^(\circ)`

`\angle 6=45^(\circ)`

`\angle 4=\angle 6` (Alternative interior angles)

`\angle 4=45^(\circ)`

Option C is correct.

8.

`x-3=65` (Corresponding angles)

`x=68`

`46+65+y-3=180` (Supplementary angles)

`y=72`

Option A is correct.

11.

If a transversal line intersect two lines are parallel lines, then their corresponding angles are same.

It is given that

`\angle 1=\angle 2`

Since angle 1 and 2 are corresponding angles, therefore we can say that the lines a and b are parallel.

Option B is correct.

12.

`x-1=63` (Corresponding angles)

`x=64`

Option C is correct.