Unit 1: Geometry Basics
The following symbol represents which type of description: CD
a. line
b. line segment
c. ray with endpoint D
d. plane
Line
Given < E = < A and line segment AP = line segment PE.
Prove Line segment AB is congruent to line segment EK.
Hint: Use 4 statements with 4 Reasons
Statements Reasons
1. <E = <A, AP=PE 1. Given
2. <APB=<EPK 2. vertical angles
3. Tri. APB= Tri. EPK 3. ASA
4. Line seg AB = line seg EK 4. CPCTC
give an example of a line parallel to y = 7x + 10
y = 7x - 100
Given Triangle HIJ is congruent to Triangle PQR, measure of angle I = 6v + 4 and measure of angle Q = 9v - 5, find the measure of angle I and measure of angle Q.
3
Given the graph (on the board), find XY using the distance formula or pythagorean theorem.
5
If AB = 40 and CB = 85. Find CA.
45
which symbolic notation represents the converse of a conditional statement?
a. p --> q
b. ~p --> ~q
c. q --> p
d. ~q --> ~p
c
using the diagram to follow, how would you define angles 4 & 5?
a. corresponding
b. alternate exterior
c. alternate interior
d. consecutive exterior
alternate interior angles
what method can be used to prove the two triangles congruent?
AAS
What is the value of c if a right triangle has legs that measure 6 and 13?
14.3
if D is the midpoint of EF, ED = 3x-1 and DF = 4x-25, Find EF.
142
which statement is false based on the diagram of students who are pitchers, baseball players and football players?
a. all baseball players are pitchers
b. some football players are pitchers
c. all pitchers are baseball players
d. some students are pitchers, baseball players & football players
a
if line segment BF bisects angle EBC and measure of angle ABD = 3x+10, measure of angle BDE = 2x+7, and measure of angle EBF = x. Find measure of angle EBF.
23.3
what method can be used to prove the triangles congruent?
SSS
Side CD is a midsegment of triangle HIJ. what is the value of x?
-8
Points in the same plane are called......
coplanar
which property postulate justifies the statement below?
"if m<1 + m<3 = m<4, and m<3 = m<2,
then m<1 + m<2 = m<4"
a. substitution
b. angle addition postulate
c. addition property of equality
d. transitive property of equality
substitution
Find the midpoint of a segment with endpoints (-4,6) and (-3,8)
(3.5, 7)
Find the value of x.....
Figure shown on board
36
if x is the incenter of triangle NPQ. what must be true?
(shown on board)
a. KN=KP
b. XN=QX
c. xm=kx
d. nm=QL
c. xm=kx
If the measure of angle D is less than 90 and greater than 0, what type of angle is D?
acute
which additional piece of information would prove triangle ABD is congruent to Triangle CBD?
a. AB=CB
b. AD=CD
c. BD bisects <ABC
d. AD = BD
B
Find the measure of angle Q. The lines are parallel
60
what is the length of side AB
5
point z is the circumcenter of triangle TUV. What is the value of UV?
a. 33.75
b. 45
c. 50
d. none of the above
d