6.1
6.2
6.3
6.4
6.5
100
Tell whether the information in the figure allows you to conclude that point P lies on the perpendicular bisector of LM.
Yes
100
The perpendicular bisectors of △ABC intersect at point G and are shown in blue. Find BG.
BG = 9
100
If RV = 30. What is RQ & QV?
RQ = 20
QV = 10
100
In △JKL, show that midsegment MN is parallel to JL and that MN = 1/2JL.
Yes parallel
MN = Square root of 17
JL = 2 square root 17
100
Write the first step in an indirect proof of the statement: In triangle ABC, if angle A = 100degree, then angle B is not a right angle.
Assume temporarily that Angle B is a right angle.
200
Tell whether the information in the figure allows you to conclude that point P lies on the perpendicular bisector of LM.
No
200
The perpendicular bisectors of △ABC intersect at point G and are shown in blue. Find GA.
GA = 11
200
In △RST, point Q is the centroid, and SQ = 8. Find QW and SW.
QW = 4
SW = 12
200
What is the length of AB & DF. Is AB 2x longer than DF.
DF = square root of 13
AB = 2 square root of 13
200
List the angles of the given triangle in order from smallest to largest.
Angle J, Angle K, Angle L
300
Find UW.
55
300
Find the coordinates of the circumcenter of the triangle with the given vertices.
A(2, 2), B(2, 4), C(8, 4)
The circumcenter is ( ? , ? ).
(5, 3)
300
Find the coordinates of the centroid of △RST with vertices R(2, 1), S(5, 8), and T(8, 3).
(5, 4)
300
DE is a midsegment of triangle ABC. Find the value of x.
x = 8
300
List the angles of the given triangle in order from smallest to largest.
Angle Z, Angle Y, Angle X
400
Find Angle KJL
28
400
Point N is the incenter of △ABC. Use the given information to find the indicated measure.
NG=x+3
NH=2x-3
Find NJ.
NJ = 9
400
Find the coordinates of the centroid of △ABC with vertices A(0, 4), B(-4, -2), and C(7, 1).
(1, 1)
400
DE is a midsegment of triangle ABC . Find the value of x.
x = 10
400
Describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 12 feet and 18 feet.
6<x<30
500
Write an equation of the perpendicular bisector of the segment with endpoints M(1, 5) and N(7, -1).
y=x - 2
500
You are placing a fountain in a triangular koi pond. You want the fountain to be the same distance from each side of the pond. Should the fountain be at the circumcenter or incenter of the triangular pond?
Incenter
500
Complete the statement with always, sometimes, or never. Explain your reasoning.
The centroid and orthocenter are __________ the same point.
Responses
- A. always; Both points are always in the center of the triangle.always; Both points are always in the center of the triangle.
- B. sometimes; The centroid and the orthocenter are not the same point unless the triangle is isosceles.sometimes; The centroid and the orthocenter are not the same point unless the triangle is isosceles.
- C. sometimes; The centroid and the orthocenter are not the same point unless the triangle is equilateral.sometimes; The centroid and the orthocenter are not the same point unless the triangle is equilateral.
- D. never; The centroid and the orthocenter will always be two different points.
C.
500
Oak Street intersects Walnut Street and Maple Street at their midpoints. A parade float starts at point S , travels up Walnut Street to Oak Street, up Oak Street to Maple Street, over Maple Street to Spruce Street, and then down Spruce Street to the starting point. About how far does the float travel? Round your answer to the nearest hundredth.
4.05
500
In triangle RST, which is a possible side length for ST? Select all that apply.
A. 7
B. 8
C. 9
D. 10
C & D