Triangle Inequality and Triangle Congruence
What are the possibles side lengths of the third side of a triangle if 2 sides are 24in and 23ft respectively
21ft<x<25ft
252in<x<300in
- Transformations must preserve ____________ and ___________
What is the only transformation that is not a rigid motion
SIZE / SHAPE
Dilation
True or false
Corresponding angles are always congruent
True
An endpoint of a line segment is at (-4,10) and the midpoint is at (5,2) what is the coordinate of the other endpoint
(14,-6)
Given the 2 points (5,8) and (-4,3) find the distance in simplest radical form
sqrt(106)
Name the 5 triangle congruence criterion
SSS
SAS
HL
AAS
ASA
Order of rigid motions affects the resulting image
Name all postulates of parallel lines
Alternate interior
Alternate Exterior
Same side interior
Same side exterior
Corresponding
On a number line A is at -12 and B is the midpoint of the line at 4 What is the value of the endpoint C What is the value of the point D that is 1/4 from A to C
C=20
D=-4
Angle ABC exists and BD is an angle bisector Such that angle ABD is x^2+5x+4 and angle DBC is 4x+16 what is the value of x
x=3
True or False.
100 points a piece
- AAA is a congruence criterion
- Angles control opposite side lengths
- Mr. Hyland wears glasses when he drives
T
T
F
(4,1)
(-1,-4)
ASN
If corresponding angles are supplementary, then the lines are parallel.
NEVER
The supplement of the complement of an angle is 130°. What is the measure of the angle
40
Which property says AB=AB
reflexive property
Are the following triangles congruent and if so by which congruence criterion
YES HL
Give the coordinate points of the following figure after it has been rotated 180 degrees about the origin
A(4,7) B(2,-1) C(0,8)
A′(−4, −7), B′(−2, 1), C′(0, −8)
To prove lines are parallel the angles you are comparing must fall on the same _________________
In an isosceles triangle, the two equal sides each have length x^2−9. The base has length 4x−6 - The perimeter of the triangle is 24. Find the value of x.
x=3
The intersection point of 3 perpendicular bisectors is called the_______________
Circumcenter
Based off of the image solve using a triangle inequality for the possible x values
x>6
DELTAMATH QUESTION give the following composition of rigid motions
Depends on random question :(
perp bis
altitudes
medians
Three times the supplement of the complement of an angle is 330°. What is the measure of the angle?
20
In the following image name the smallest side
DC