Download Unit 1 Review Sheet

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Unit 1 Review Sheet
1.) Find the value of x and y.
a.
b.
2x+25˚
y˚
3y + 42
9x + 54
3x-10˚
5x
2.) N and M are complementary, N = 8x - 6 and M = 14x + 8. Find the value of x and the measure
of M.
3.) The angles of triangle ABC are in the ratio of 1:3:5. What is the measure of the smallest angle?
4.) In
,
1)
34
2)
62
3)
76
4)
146
and an exterior angle at vertex H has a measure of 104. What is
5.) In scalene triangle ABC,
to shortest?
1)
,
,
2)
,
,
3)
,
,
4)
,
,
and
?
. What is the order of the sides in length, from longest
6.) In the diagram of
below,
What is the measure of
,
, and
is extended through N.
?
1) 60°
2) 120°
3) 180°
4) 300°
7.) Which set of numbers does not represent the sides of a triangle?
1) {6,8,10}
2) {6,7,15}
3) {3,4,5}
4) {2,6,7}
8.) In ∆EFG, FE = 8 and FG = 15. Which inequality best describes the measure of EG?
1)
2)
3)
4)
8 < EG < 15
8 ≤ EG ≤ 15
7 < EG < 23
7 ≤ EG ≤ 23
9.) In
,
1)
2)
3)
4)
,
, and
. Which statement about the angles of
must be true?
10.) Find the midpoint for the following endpoints A(6, - 4), B(-3, 2).
11.) Find the missing endpoint given midpoint M(- 9 , 3) and the other endpoint T(2, 5).
12.) TY is a perpendicular bisector to BN . The measure of BY = 2y+4, the measure of , the measure of
YN = 4y-12, and the measure of <TYB = 4x+15. Find the value of y and x and the measure of BN.
B
Y
T
N
13.) <KLJ is bisected by LH . The measure of <KLJ = 150° and the m<KLH = 5x – 10. Find the value of x
and the measure of <HLJ.