Name
CCGPS Analytic Geometry A
U1RQ3
Isosceles and Equilateral Triangles
1. Find measure of
and ZO.
M
2. MBC is an equilateral triangle.
From AABC, find the value of x.
4.
Identify the true statement.
An equilateral triangle has three angtes that measure 45'
From equilateral ADEF, find the value of D£.
D
Identify the true statement. Explain why the statement is true.
Q
An equilateral triangle has three angtes that measure 90".
An equilateral triangle has three angtes that measure 60".
3.
Every isosceles triangle is equilateral. Isosceles triangles have asngruent
sides, so they are always equilateral.
O
An equilateral triangle does not have all three angles congruent.
Every isosceles triangle is equiangular. The sides opposite the base angles a:
congnient, so the triangle is equiangular.
0
Every equilateral triangle is equiangular. Since all pairs of sides are cnngiuen
all pairs of angtes must be congruent.
Q
Every isosceles triangle is acute. The base angtes of an isosceles triangle are
cor^gruent, arui no triangle can have two obtuse or tworightangles.
Perpendicular and Angle Bisectors
6. Given that mZ TSV = 32°. identify m Z UST.
7. Given that m ^.mAP = <3x + 8) and m^OMP - (4x - 6 ) , identify nn ZWMO.
W
O
^
Syces'
^ /^M ^
8. Given that PS is the perpendicular bisector of OR. PQ = 4x + 19. and
PR = 2x + 32. identify PQ.
9. Given that AD is the perpendicular bisector of BC, AB = 7.4, AC - 7.4
BD = 3.2. identify BC.
3, i
Pa - ^>^^/^
Bisectors of Triangles
of the triangle.
10. The intersection of the perpendicular bisectors of a triangle is the.
11. The circumcenter is equidistant from the
"^(jfMot %
12. The intersection of the angle bisectors of a triangle is the
13. The incenter is equidistant from the Sirf/ ^
of the triangle.
\V\CfAAMj^
of the triangle.
^ *^ ^ ^ ^ ^
of the triangle.
> « ^.
14.
EO, FO, and DO are the perpendicular bisectors of AABC. Identify CO.
15.
AP, BP. and CP are angle bisectors of AABC. Identify the distancefromP to fiS.
A
16.
*
Larry wants to build a shopping complex at a location dose to neighborhoods
represented by /, J and K. Identifyttmsketch tf\at shows v^ere he should build the
shopping comptex so it is the same distance from all three neighborhoods.
J-
*
7
Medians and Altitudes of Trianfl;les
17. Define median.?^ ^ - i v n ^ ^ .
18. Define altitude.^/.
^
-M^t^fU.
/i SCqyy^C4^.r tok^PC- - ^ i ^ ^ ^ n C J
. A pe^^p^^i^f dx-ie^
19. Tlie intersection of tfie n)edians of a triangle is the
20. The centroid is
In AABC, AE~^^.
^^ry^j*-t:
(UtriiYO ) nL
Trryrn
^
eL. l€A^%\/^
fht
^y^iUn^U^
-fp il^
JIP^JL^
of the triangle.
Identify AG,
r>/c >. •
23.
of the triangle.
In APQR, EG = 8. Identify GO.
B6- :^ tC(
p
4 OS)
Triangle Midsegment Theorem
25.
^r^MX^
of the distance from a vertex to the midpoint of the opposite side of the triangle.
21. The intersection of the altitudes of a triangle is the
22.
OA^
Identify the measure of PR in the diagram.
26.
Identify the measure of XZ in the diagram.
X
.
F
.
Z
24.
In AABC, GF = 3.2. Identify BF,
F
27.
Identify mZFEW in the diagram.
29.
AIMW is the midsegment triangle of AXVZ. Identify the perimeter of ALMN.
7
28.
7
I
Identify the value of n in the diagram.