Perpendicular/Angle Bisectors
To bisect is to ______
What is to cut in half? OR
What is to cut into two equal pieces?
A midsegment connects these two points.
What is a midpoint?
What is the smallest side of the triangle is angle A is 82, angle B is 33, and angle C is 65?
AC
Order the angles from largest to smallest is side RS is 22, ST is 13, and RT is 10.
angle S, angle R, angle T
What is the range for the possible third side of a triangle containing side lengths 15 and 22?
7<x<37
Point D is on an angle bisector for angle CAB.
If the distance from D to C is 4x+30 and the distance from D to B is 9x-5, what is the value of x?
What is x=7?
A midsegment is ________ of the third/ opposite side of a triangle.
What is half?
Order the sides from largest to smallest if angle E is 95 and angle D is 33.
DF, DE, EF
In triangle GHI, GH=12 cm, HI=7 cm, and GI=9cm. List the angles in order from smallest to largest.
Angle G, Angle H, Angle I
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?
A. 5 inches
B. 16 inches
C. 29 inches
D. 32 inches
16 inches
Point T is on an angle bisector for angle PAR.
It is given that angle PAT is 8x-32 and angle TAR is 3x+3. What is the measure of angle PAR?
What is 48 degrees?
If a midsegment joins the two sides of a triangle, the segment is ______ to the third/opposite side.
What is parallel?
In a right triangle ABC, angle A is (2x + 1)o and angle B is (5x + 5)o. Order the sides from least to greatest.
BC, AC, AB
The perimeter of triangle DEF is 49 meters. If DE is 15 and EF is 11, list the angles in order from greatest to least.
angle E, angle F, angle D
What is a possible 3rd side to a triangle with side lengths 4cm and 13cm?
10, 11, 12, 13, 14, 15, 16
Triangle JKL has a perpendicular bisector cutting through it making two right triangles. Each hypotenuse of the triangles JK= 6x-26 and KL= 3x+34. Find the value of x.
What is x=20?
GH is a midsegment of triangle JLP. If side JP is the side parallel to midsegment GH and is 24 units long, how long is midsegment GH?
What is 12 units?
In triangle VWX, the measure of angle v is 50 degrees, the measure of angle W is 48 degrees, and the measure of angle X is 82 degrees. Order the sides from shortest to longest.
VX, WX, VW
The perimeter of triangle JKL is 40 inches. If JK is x + 5, JL is 4x + 1, and KL is 2x + 7, then list the angles in order from least to greatest.
angle L, angle J, and angle K
Which of the following would not work to make a triangle with the two side lengths of 2in and 6in?
A. 6
B. 7
C. 5
D. 4
4
Segment AB is the bottom side of a triangle. Point D lies on the perpendicular bisector of AB and also is the midpoint of AB. If AD=5x-11 and DB =3x+17, what is the measure of DB?
What is DB=59?
Find the value of x when a triangle's midsegment is 7x and the side that runs parallel to it is 17x-18.
What is x=6?
In triangle DEF, the measure of angle D is 35 degrees, and the measure of angle F is 95 degrees. Name the longest and shortest sides of the triangle.
Longest: DE
Shortest: EF
Given A(1,4), B(8, 10), and C(10,3), list the angles in order from smallest to largest.
angle A, angle B, angle C
What is the range of the possible values for the sides of the triangle is the sides length are x + 5, 2x + 7, and 4x + 1?
1/3<x<11