Coordinate Geometry
Solving for Angles & Sides
Triangle Congruence
Triangle Congruence Postulates
Properties, proofs, etc
Constructions
100
Segment AB has A ( -9, 3) B (-5, 4)
Find the midpoint, M .
-7, 3.5
100
Given that triangle ABC is congruent to triangle DEF, find the measure of angle F.
What is 40 degrees?
100
The congruence conjecture that proves these are congruent triangles.
What is SSS?
100
Are the following triangles congruent? If so, name the congruence postulates that proves it.
What is SSS?
100
Can HLT be used to prove the triangles congruent? Why or why not?
No, another leg not marked
100
If constructing a square inscribed in a circle, what is the next step?
Draw a diameter through the center
200
P Partitions AB in a ratio of 3:1.
A ( -9, 4 ) B ( 7, -16).
Find the coordinates of point P.
3, -11
200
Given that triangle ABC is congruent to triangle DEF, find the length of side DF.
What is 96.6?
200
The congruence conjecture that proves these are congruent triangles.
What is SAS?
200
Are the following triangles congruent? If so, name the congruence postulates that proves it.
Not congruent
200
Can HLT be used to prove the triangles congruent? Explain why or why not
No, hypotenuse not marked
200
If construction a line parallel to PQ through point R, what is the next step?
arc the angle at the bottom
300
CD has midpoint M.
C ( -5, 3) and M ( -1, 6). Find the coordinates of endpoint D.
3, 9
300
Find the measure of angle F.
What is 40 degrees?
300
Are the following triangles congruent? If so, name the congruence conjecture that proves it.
What is AAS?
300
Are the following triangles congruent? If so, name the congruence postulate that proves it.
Not congruent
300
a kind of triangle congruence rule where it states that if all three sides of one triangle are equal to all three corresponding sides of another triangle, the two triangles are considered to be congruent.
What is SSS
300
What 2 constructions could be made with this circle with 6 arc marks?
inscribed hexagon
inscribed equilateral triangle
400
Chloe is on her way to school from her house. Starbucks is located 1/2 way between her house and school. If her house is located at (4,1 ) and Starbucks is located at (12, 8), what are the coordinates of the school?
20, 15
400
x= 3
y = 15
400
Are the following triangles congruent? If so, name the congruence conjecture that proves it.
What is SAS?
400
Are the following triangles congruent? If so, name the congruence postulate that proves it.
What is not congruent?
400
if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.
Hypotenuse - Leg Thereom
400
Khloe constructed medians PT and RS. What point of concurrency is point C ?
Median
500
AB > CD
500
X= 87o
Y= 22o
500
The additional information needed to prove the two triangles are congruent using SSS theorem
What is AC is congruent to DF?
500
The value of x that would make
triangle LMN cong triangle PQR
What is 42?
500
the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Pythagorean Theorem.
500
If constructing a circumcenter of a triangle, what construction would you need to do on 2 sides of a triangle?
perpendicular bisector