Question

i need serious help ,

Use the diagram below to answer question 1. The diagram is not to scale.


1.
The item below has been reviewed and is scheduled to be updated. All students will receive full credit for any response to the following.

A length of rope is stretched between the top edge of a building and a stake in the ground. The head of the stake is at ground level. The rope also touches the top of a tree between the stake and the building at a 53º angle. What angle is formed by the rope and the stake? (1 point)
• 37°
• 53°
• 127°
• 117°

Answer 1

Use the diagram below to answer question 1. The diagram is not to scale.


1.
The item below has been reviewed and is scheduled to be updated. All students will receive full credit for any response to the following.

A length of rope is stretched between the top edge of a building and a stake in the ground. The head of the stake is at ground level. The rope also touches the top of a tree between the stake and the building at a 53º angle. What angle is formed by the rope and the stake? (1 point)
• 37°
• 53°
• 127°
• 117°
Use the diagram below to answer question 2.

2.
Which of the following statements is not true?

Given: the perpendicular bisector of . (1 point)
• ∠AIK ∠AKJ
• ∠IJB ∠KJB
• ∠BKJ ∠AKJ
• ∠BIA ∠BKA
3.
Find the circumcenter of ΔEFG with E(3, 6), F(3, 4), and G(7, 4). (1 point)
• (5, 5)
• (3, 6)
• (4, 6)
• (6, 4)
4.
Where can the perpendicular bisectors of an acute triangle intersect?

I. inside the triangle
II. on the triangle
III. outside the triangle (1 point)
• I only
• III only
• I or III only
• I, II, or III
5.
What is the name of the segment inside the large triangle?
(1 point)
• perpendicular bisector
• altitude
• median
• angle bisector
6.
The perimeter of ΔABC is 30 feet. AB = 5x − 7; BC = 3x + 1; AC = 4x. List the angles of ΔABC in order from smallest to largest. (1 point)
• ∠A, ∠B, ∠C
• ∠A, ∠C, ∠B
• ∠C, ∠B, ∠A
• ∠C, ∠A, ∠B
7.
Which three lengths could be the lengths of the sides of a triangle? (1 point)
•
11 cm, 11 cm, 24 cm
• 18 cm, 12 cm, 9 cm
• 9 cm, 19 cm, 10 cm
• 4 cm, 7 cm, 23 cm
8.
Given ΔABC, which of the following must be true?


I. ∠B ∠C
II. ∠BDA ∠CDA
III. m∠DAB < m∠CAD (1 point)
• I only
• III only
• I and III only
• I, II, and III
9.
List the angles of ΔDEF in order from smallest to largest.
(1 point)
• ∠D, ∠F, ∠E
• ∠D, ∠E, ∠F
• ∠F, ∠E, ∠D
• ∠F, ∠D, ∠E
10.
The lengths of the sides of a triangle are 12, 13, and n. Which of the following must be true? (1 point)
• n ≥ 1
• n < 13
• 1 < n < 13
• 1 < n < 25
11.
Name the smallest angle of ABC. The diagram is not to scale.
(1 point)
• C
• A
• Two angles are the same size and smaller than the third.
• B
Fill in the Blank
12.
The ___________ of a triangle is a segment that connects the midpoints of two sides of the triangle. (1 point)

13.
A point is ____________ from two objects if it is the same distance from the objects. (1 point)

14.
The distance from a point to a line is the length of the ____________ segment from the point to the line. (1 point)

15.
When three or more lines intersect at one point, they are ____________. (1 point)