Going the Distance
What's your Angle?
Construction Junction
Points, Segments and Planes, OH MY!
Hodgepodge
100
Given the statement below, how do you show that the LENGTHS of both figures are the same value?
TW = XR
100
Determine the measure of each acute angle.
Show all work to justify. 26, 64
100
Construct line XY such that it is perpendicular to line AB going through point C. Make sure to label final figure.
All markings must be shown. Line XY labeled
100
True or False: A minimum of 4 points on a plane are needed to name a plane.
False - only 3.
100
Determine the midpoint, M, of segment JK given
J(1, -9) and K(-7, -5).
M(-3, -7)
200
Determine GH, HI and GH.
Show all work to justify. GH = 22, HI = 22, GH = 44
200
Determine the measure of angle CDE.
Show all work to justify. 1330
200
Construct line TV parallel to given line SM. Make sure to label final figure.
All markings present; Line TV labeled.
200
Name the intersection of plane ZYT and TXW.
T.
200
The midpoint, L, of segment MN is (7.5, -6.5). If M has coordinates (10, -3), determine the coordinates of N.
Show all work to justify. N(5, -10)
300
GH = 13. The coordinates of G is (-7, -2). The coordinates of H is (x, 10). What are all possible values for x?
x = -2 or -12
300
The supplement of an angle is 16 more than 2 times the complement. Find the angle, the supplement and complement.
Show all work to justify. Angle: 16; C = 74; S = 164
300
Construct triangle LMN given 3 side lengths (bring paper to me to draw given figures). Make sure to label final figure.
All markings present; triangle labeled.
300
Name the intersection of plane H and line FE.
Line FE.
300
Determine the value of x, measure of angle CAB and measure of angle DAB.
Show all work to justify. 15; 75; 105
400
Determine the perimeter, to nearest tenth, of the triangle with the following vertices:
A(2, 3), B(-4, -3), C(7, 1)
Algebraic justification must be shown.
25.6 units
400
Find the measure of angle HJK, given markings and GJI = 58.
Show all work to justify. 1540
400
Construct angle RST such that it is the measure of half ABC + 900. Make sure to label final figure.
All 3 processes constructed. Angle labeled.
400
Name 4 noncoplanar points.
Ans. may vary.
EX: T, W, V, P
NOT: M, N, P, T, W - THEY ARE ALL COPLANAR.
400
Line AB's equation is y = .25x + 3.75. Line EJ is perpendicular to line AB and intersects line AB at E(-7, 2). Determine line EJ's equation.
Show all work to justify: y = -4x - 26
500
Determine the area of the triangle with vertices:
E(-14, -4), D(-13, 5), F(-7, 3)
Algebraic justification must be shown.
Show all work to justify. 28 sq. units
500
How many degrees will the hour hand move from 6:30am to 1:40pm?
Show all work to justify. 215o
500
Construct parallelogram GHIJ whose 2 opposite opposite side pairs are congruent to segment RT and 1/2RT. Make sure to label final figure.
See markings.
500
Fill in the blank with ALWAYS, SOMETIMES, or NEVER:
3 collinear points ___________ define a distinct plane.
Never - 3 collinear points can lie on infinitely many planes.
500
Line FG contains points F(6, 3) and G(9, 2). Line HK contains H(9, 7) and is parallel to line FG. Determine the distance between point G and line HK's y-intercept, to the nearest tenth.
Show all work to justify. 12.0 units