WorksheetsHW 2-2
Total questions: 17
Worksheet time: 4hrs 15mins
Using the Distance formula, Classify the Following Triangle. A(7, -2) B(-4, 9) C(-3,-1)
Isoceles
Scalene
Equilateral Triangle
Obtuse Scalene
∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are each 3/4 this length. What is the perimeter of ∆ABC?
31 ft 4 in
21 ft 7 in
30 ft 10 in
18 ft 6 in
1. In ∆DEF, DE and DF are each 6 feet 3 inches long. This length is 0.75 times the length of FE. What is the perimeter of ∆DEF?
12 ft. 4 in.
17 ft. 2 in.
14 ft. 7 in.
20 ft. 10 in.
∆JKL is an isosceles triangle with JL ≅ KL. If JK is three more than x, KL is 17 less than four times x, and JL is 45 less than six times x, find x and the measure of each side.
39, 39, 17
17, 15, 17
17,17,39
42,42,42
If QN bisects Angle PQR and N is the midpoint of PR. Classify each triangle by its sides and angles. What is ∆PQR?
Obtuse Scalene
Acute Isoceles
Right Interior
Equiangular, Equilateral
If QN bisects Angle PQR and N is the midpoint of PR. Classify each triangle by its sides and angles. What is ∆PRT?
Obtuse Scalene
Equilateral Scalene
Scale Triangle
Obtuse Isoceles
If QN bisects Angle PQR and N is the midpoint of PR. Classify each triangle by its sides and angles. What is ∆TQS?
The two angles are vertical angles.
Acute Isoceles
Obtuse Isoceles.
Right Scalene
If QN bisects Angle PQR and N is the midpoint of PR. Classify each triangle by its sides and angles. Name QNP
Right Triangle
Perpendicular Bisector
Obtuse Scalene
Right Scalene
∆QRS is an equilateral triangle. If QR is seven less than twice x, RS is 61 less than five times x, and QS is 11 more than x, find x and the measure of each side.
29, 29, 29
18, 18, 18
20, 20, 20
28, 28, 28
An area in central North Carolina is known as the Research Triangle because of the relatively large number of high-tech companies and research universities located there. Duke University, the University of North Carolina at Chapel Hill, and North Carolina State University are all within this area. The Research Triangle is roughly bounded by the cities of Chapel Hill, Durham, and Raleigh. From Chapel Hill, the angle between Durham and Raleigh measures 54.8°. From Raleigh, the angle between Chapel Hill and Durham measures 24.1°. Find the angle between Chapel Hill and Raleigh from Durham.
101.1
101.4
24.1
54.8
The measure of one of the acute angles 44.9° in a right triangle is given. Find the measure of the other acute angle.
90°
45.1°
60.5°
180°
The measure of one of the acute angles 0.3° in a right triangle is given. Find the measure of the other acute angle.
67.7°
89.7°
98.2°
108°
Line l contains points (3, 8) and (–5, 1). What is the slope of the line?
7/8
-8/7
-7/8
8/7
For questions #14 – 15, line m contains the points (2, 6) and (1, 9).
What is the equation of line m in point-slope form? Choose ALL that apply
y – 2 = –3(x – 6)
y – 6 = –3(x – 2)
y – 1 = –3(x – 9)
y – 9 = –3(x – 1)
For questions #14 – 115, line m contains the points (2, 6) and (1, 9).
Line p is parallel to line m. What is the slope of line p?
-3
-1
1/3
4
Solve for x.
5
2
10
11
Solve for x.
7
15
9
5
