Lines and Angles
Relationships
Triangles
Quads and Polys
Problem Sets
100
a. T
b. segment VW
c. line PR
d. <QSR
100
Use the diagram to solve for x and y.
x = 20
y = 10
100
Use the diagram below to answer both parts of the question.
a) Find the length of the median from S to side RT. (simplified radical form)
b) Write the equation, in slope-intercept form of the median from S to side RT.
a)
3sqrt(29)
b) y = 5/2x - 11
100
Find the number of sides, n, of a regular polygon where each interior angle has a measure of 171o.
n = 40
100
The measure of the supplement of an angle exceeds 3 times the measure of the complement of the angle by 10o. Find the measure of the complement.
complement = 40o
200
Solve for x and y.
x = 55
y = 30
200
Use the diagram to solve for x and y.
x = 60o
y = 30o
200
Determine if the triangles can be shown to be congruent. If they can, write a theorem that supports your answer. If they cannot, write down "no".
a. ASA (with a pair of vertical <'s)
b. AAS (common side between two tri's)
200
Use the diagram to find the value of x.
x = 2.3
200
a) C
b) segment GJ
c) <FAB
d) D
e) no solution (the segments do not intersect)
300
Let <1 and <2 be a linear pair with the following measures, m<1 = (x - y)o and m<2 = (4x - 5)o. Solve for y in terms of x.
y = 5x - 185
300
Name each pair of angles using one of the following terms: alternate interior, alternate exterior, consecutive interior, corresponding, linear pair, or vertical.
a. <1 and <8 b. <2 and <6 c. <6 and <7
d. <3 and <5 e. <2 and <4 f. <3 and <7
g. <4 and <5 h. <3 and <6 i. <5 and <7
a. alt ext b. corresp c. vertical
d. con int e. linear pr f. corresp
g. alt int h. alt int i. linear pr
300
Q is the centroid of triangle XYZ.
a. Find the length of segment XQ.
b. Find the length of segment XM.
a. XQ = 6
b. XM = 3.5
300
Find the measure of one interior angle and one exterior angle of a regular 18-gon.
interior = 160o
exterior = 20o
300
Simplify.
(3x^2)^2/(2x^5)*(4^-2x^-3)/x^4
9/(32x^8)
400
If <Q is an acute angle that measures (2x - 28)o then what are the restrictions on x?
14 < x < 59
400
Segment AB has endpoints A(3, 5) and B(1, 4). Find the new endpoints of the segment after it has been reflected over the x-axis and then translated by <-3, 2> and finally reflected over the line x = -2.
A''' (-4, -3)
B''' (-2, -2)
400
Determine if the triangles can be shown to be congruent. If they can, write a theorem that supports your answer. If they cannot, write down "no".
c. SSS (shared side between two tri's)
d. No
400
Find the value of the SMALLEST interior angle of the hexagon pictured below.
70o
400
Four milkshakes and five hamburgers cost $11.31. Five milkshakes and four hamburgers cost $10.65. How much will it cost for three milkshakes and three hamburgers?
$7.32
500
If one endpoint of a line segment is (7, -8) and the midpoint of the segment is (3, -4), find the coordinates of the other endpoint.
(-1, 0)
500
What is the smallest rotational symmetry for a regular pentagon?
72o
500
G is the circumcenter of triangle ABC. Find the following lengths. (Simplified radical form if necessary)
a. segment CG
b. segment DG
a. CG = 9
b. DG =
3sqrt(5)
500
Multiple Choice. Which one of the three quadrilaterals pictured below is a parallelogram. Explain.
B.
500
Use the diagram to find the length of the altitude from B to side AC.
7.2