Triangle Congruence
Miscellaneous
Isosceles Triangles
Proof
Special Segments
100
What does it mean when you write "not possible" when determining if two triangles are congruent? be specific
it is not possible to determine IF the triangles are congruent with the information given
100
A triangle with hypotenuse with length 13 cm, and legs measuring 5cm, and 12Cm is what type of triangle? (you must explain how you know)
right triangle
100
The measure of the vertex of an isosceles triangle is 86. What are the measures of each base angle?
47 degrees
100
the reason for statement b
isosceles triangle theorem
100
in what type of triangle will an altitude and median from the same vertex be the same segment?
equilateral triangle
200
Draw the following: Right triangle ABC, with C being the right angle and B being the larger acute angle. Right triangle TRI, with T being the right angle and I being the smaller acute angle. Write a congruence statement for the triangles.
answers may vary example: triangle ABC is congruent to triangle IRT
200
What do we call the angles within a triangle that are not adjacent to a given exterior angle? Draw a diagram to accompany term.
remote interior angles
200
Triangle ABC, with vertex angle of B, has sides AB = x+11 and BC = 2x-8, and angle BCA measures 2x+2. Find the value of x AND the measure of angle BAC.
x=19 m angle BAC = 40 degrees
200
reason for statement c
reflexive property of congruence
200
use diagram drawn. Find BC if BD is a median of the triangle.
16
300
Look at diagram drawn. These triangles can be proven congruent by which theorem or postulate?
ASA
300
use diagram given if measure of angle 1 is 32, find the measures of all other angles.
m 2 = 116 m 3 = 32 m 4 = 64 m 5 = 52 m 6 = 64 m 7 = 116 m 8 = 96
300
where is the vertex angle in relation to the legs?
between
300
statement for reason d
segment BD is congruent to segment BE
300
Triangle ABC has vertices A(2,5), B(12,-1), and C(-6,8). What are the coordinates of X if AX is a median of the triangle.
(3,7/2)
400
Look at the diagram drawn. The following triangles can be proven congruent by which theorem of postulate?
LL
400
In triangle TRI, angle T = 3x-17, angle R = 2x-5, and angle I = x+40. Find x and the measure of angle R.
x = 27 measure of angle R = 49 degrees
400
What is the measure of the exterior angle of the vertex angle, if a base angle is 68.
136 degrees
400
statement and reason for e
triangle ABF congruent to triangle CBD (statement) SAS (reason)
400
Triangle ABC has vertices A(2,5), B(12,-1), and C(-6,8). What is the slope of BY if BY is an altitude of the triangle.
8/3
500
Find the values of x and y (drawing on board) if the two triangles are congruent by LA
x=4, y=6
500
classify the following triangle by sides and angles: triangle ABC with measure of angle B=95, AB=12 and BC=12
obtuse (by angle) isosceles (by side length)
500
Triangle ABC has vertex angle A = 2x+20, and angle C = 38+8. Find x and the measure of each angle.
x = 18 m A = 56 m B = m C = 62
500
reason for statement f (and what it MEANS)
CPCTC corresponding parts of congruent triangles are congruent
500
Triangle ABC has vertices A(2,5), B(12,-1), and C(-6,8). Point T on AC has coordinates (-2,13/2). Is BT a median? An altitude? explain reasons!
BT is a median because the coordinates (-2, 13/2) are the midpoint of AC. slope of BT is 15/28 and slope of AC is -3/8 BT is not perpendicular to AC...therefore BT is not an altitude
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