Geometry Midterm Exam Review
Complete each statement with the word always, sometimes, or never.
1) Collinear points are ______on one line.
2) Two noncoplanar lines ______intersect.
3) A bisector of a segment ______intersects the segment at its midpoint.
4) If two angles are complementary, then they are ______adjacent angles.
5) If a triangle is isosceles, then it is ______a right triangle.
6) Vertical angles are ______congruent.
7) If an angle is acute, then its supplement is ______acute.
8) If a polygon is equilateral, then it is ______a regular polygon.
9) Three planes ______intersect in a line.
10) If two lines are parallel, then they are ______coplanar.
11) If two planes intersect then they are ______parallel.
12) A scalene triangle ______has an acute angle.
13) If all three angles in one triangle are congruent to all three angles in another triangle then the triangles are ______congruent.
14) Consecutive angles of a rhombus are ______complements.
15) Two noncoplanar lines are ______skew lines.
16) Diagonals of a parallelogram are ______perpendicular.
17) Two obtuse angles are ______complementary.
18) If a conditional statement is true, then the contrapositive of the inverse is _____true.
19) If one angle in an isosceles triangle is 60°, then the triangle is ______equilateral.
20) Opposite angles in a square are ______congruent.
Complete the following.
21) The coordinates of L and X are -12 and10, respectively. N is the midpoint of segment LX, and Y is the midpoint of segment LN. Sketch the diagram then answer the following.
a) LN = b) coordinate of Nc) LY = d) coordinate of Y
22) Find the measure of an angle that is four times as large as its supplement.
23) If < 1 and < 2 are supplementary, what type of angle is < 1?
m< 1 = 7x - 10 m< 2 = 3x -20
In the diagram, OT YS. Use the diagram and this information to solve for all variables.
24) m< 1 = x2 m< 4 = 100 – 21x25) m< 3 = 7x - 10 m< 4 = 2x + 10
26) m< 1 = 4x + 12 m< VOS = x + 13
27) m< 1 = 3x - 15 m< 3 = 2x – 10
28) m< VOT = 7x – y + 9 m< 1 = 50
and m< YOR = 5x + 2y + 11 /
29) The lengths of the sides of a triangle are 2x + 5, 3x + 10, and x + 12. Find all the values of x that make the triangle isosceles.
30) The sum of the measures of the exterior angles of any polygon equals ?
31) The sum of the interior angles of a decagon equals?
Solve for all unknown variables.
32)/ 33) Given that WX = x + 2 , XY = x + 2, RS = 4x – 10, and ST = 3x + 8
34) If HI = 4x, LM = 2x + 3, and
KJ = x – 2, then x = ______
/ 35) Given that TDKR is a parallelogram.
36)
/ 37)
38)
/ 39) Given that m< EFI = m< IFG and
m< EGI = m< IGF
40)
/ 41)
42)
/ 43) ABCDE is regular
44)
/ 45) given that the pentagon is regular
46) the given quadrilateral is a parallelogram
/ 47)
___
48) GM is the median of ∆IRG
49) A supplement of an angle is six times as large as a complement of the angle. Find the measures of the angle, its supplement, and it complement.
50) Given that the triangle is equilateral and M and N are midpoints of the sides, find the perimeter of the triangle.
51) The lengths of two sides of a triangle are given. Write the numbers that best complete the statement: The length of the third side must be greater than ____ but less than ____.
Given sides: 6, 9
52) In ∆XYZ, if m< X = 32° and m< Z = 75°, what is the longest side of the triangle?
53) solve for x, y, and z
54) List all the postulates and theorems (ex. ASA) that can be used to prove triangles congruent.
55) What does CPCTC stand for? Does it come from a postulate, theorem, corollary, or definition?
56) If points R and S are on a number line at 2 and 8 respectively, how many different points can be drawn above or below the number line that would be the same distance from both R and S?