Download File

Name: _________________________________________________________ Date: _____________ Per: _____
LC Math 2 Adv – Semester 1 Exam Extra Problems
1. What type of symmetry does each figure have? If it has line symmetry, specify the number of lines and draw
them in. It if has rotational symmetry, state all the angles of rotation.
a)
b)
Use ∆ABC with vertices A (–2, 2), B (–6, –2), and C (2, –2) to answer the following.
2. Find the midpoint of AB .
3. Write the equation of the perpendicular bisector of AB .
4. Verify ∆ABC is isosceles using the distance formula.
Fill in the blank with the most appropriate and specific term, value, or symbol.
________________ 5) If two planes intersect, their intersection is a ____.
________________ 6) If the point D(–a, b) is a rotation of ___ about the origin then the image is D’(a, –b).
________________ 7) Two lines that do not lie in the same plane are ____ lines.
________________ 8) A triangle in which no two sides are congruent is a(n) ____ triangle.
________________ 9) If two complementary angles are congruent, each has a measure of ____.
________________ 10) Two lines that meet to form congruent adjacent angles are ____ to each other.
_______________ 11) If a ray divides a segment into two congruent segments, the ray ____ the
segment.
_______________ 12) If two angles are congruent and supplementary, then each is ____.
_______________ 13) If the vertex angle of an isosceles triangle is 40o, then each base angle has
measure of ____.
_______________ 14) AB = BA is an example of the ____ property.
_______________ 15) If MO = 8, PO = 12, and MP = 4, which point lies between the other two?
_______________ 16) If the exterior sides of two adjacent angles are opposite rays, the angles are ____.
_______________ 17) A plane contains at least ____ points not all in one line.
Answer each of the following. Diagrams are not drawn to scale.
18) If n m, tell whether the following are TRUE or FALSE.
__________ a) m 5 = m 7
__________ b) m 2 = m 4
__________ c) m 7 = m 2 + m 3
__________ d) m 2 + m 3 + m 4 = 180
__________ e) m 7 + m 6 = 180
__________ f) m 4, m 3, and m 6 are a linear pair
19) Use the diagram to determine if the statement is TRUE or FALSE.
__________ a) CHF is a right angle.
__________ b) Points B, G, and H are collinear.
__________ c) Line AB lies in plane P.
__________ d) Points H and F lie in plane M.
__________ e) Points A, G, and J are coplanar.
__________ f) Line GF and line JD intersect.
20) Use the figure to find the following angle measures.
a) m 1 = ________
b) m 2 = ________
c) m 3 = ________
d) m 4 = ________
e) m 5 = ________
21) The point A(–3, –1) is rotated 270° counterclockwise about the origin and then reflected across the line y = 5.
Find the coordinates of A’’.
22) The sum of the measures of the complement and the supplement of an angle is 156o. Find the measure of
the angle.
23) Find the measure of  ACB.
24) Find x and y.
25) If ∆DEF  ∆DGE, find x and y.
26) Find m1.
27) Given: At B, a point on line CD , BA is drawn perpendicular to CD .
m  CBA = 4x + y and m  DBA = 10x – 2y.
Find: x = __________
y = __________
28) Given: BA  BD , ED  BD
1  2
m  3 = 5x2 + 3
m  4 = 6x2 + x – 3
Find: m  1 = __________
A
E
29) Using the figure to the right, describe a sequence of rigid motions that could
prove the triangles are congruent. How does this illustrate one of the Triangle
Congruence Criteria?
C
30) Is it possible for a trapezoid to have exactly one right angle? Explain.
31) Given: ABCD is a parallelogram
AC bisects  BAD and  DCB
BC = 5x – 2
CD = x + 2y – 6
AD = 2x + y
Find:
x = _____________
y = _____________
AD = ____________
B
32) If a polygon contains 34 sides, find:
a) the sum of the measures of the interior angles of the polygon.
b) the sum of the measures of the exterior angles of the polygon.
33) The sum of the interior angles of a regular polygon is 2160o . What is the measure of an exterior angle?
34) The measure of each exterior angle of an equiangular polygon is twice the measure of each interior angle.
What is the name of the polygon?
35) A transformation maps (x, y) to (x – 5, 2y + 3). In which quadrant does the point (–3, –2) lie under the same
transformation? Is this an isometry? Explain.
36) What are the coordinates of the endpoints of C''D'' if C(–2, 3) and D(3, 4) are rotated 90° about the origin
and then reflected in the line x = 1?