Missing Angles / Transformations
Prove This!
Triangle Congruence Theorems
Name that Reason
Miscellaneous
100
If DB bisects <B, what is the degree measure of <DBC? What is the name of the angle that <DBC congruent to?
What is 52 degrees and <DBA
100
How do we know that <AEC=<DEB below?
What are vertical angles?
100
If three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
What is SSS
100
When writing a proof, this is how you should begin.
What is "given" / starting with information explicitly stated?
100
Mx. Watson's son's name is...
Who is Oliver?
200
In parallelogram ABCD, the measure of angle A is 99 degrees.What is the measure of angle B?
What is 81 degrees ?
Opposite angles in a parallelogram are congruent, therefore 99+99= 198
All four angles in a quadrilateral add to 360 degrees
360 - 198 = 162
There are two remaining angles that are congruent to each other, therefore 162 /2 = 81
Angle B must be 81 degrees
200
How do we know that CA=CA below?
Line segments are congruent to themselves AKA the Reflexive Property
200
What triangle congruence theorem can be used to prove triangle VXY is congruent to triangle VWY.
What is SAS
200
What is the reason for statement #3 below?
Line Segments are congruent to themselves / Reflexive Property
200
What triangle congruence theorem could you use to prove triangle ADE is congruent to triangle CBE?
What is ASA Triangle Congruence
300
Triangles ACD and BCD are isosceles. Angle BAC has a measure of 18 degrees and angle BDC has a measure of 48 degrees. Find the measure of angle ABD.
What is 138 degrees
18 + 18 = 36.
180-36 = 144
So base angles of ADC are each ½ of that.
144-96 = 48
So angle ADB is 24
24 + 18 = 42
180-42 = 138
300
Name the 4 angles that point "E" the vertex of?
1) <AEC (or <CEA)
2) <DEB (or <BED)
3) <AED (or <DEA)
4) <CEB (or <BEC)
NOTE:
300
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.
What is ASA
300
What is the reason for statement #3 below?
Vertical Angles are congruent / Definition of vertical angles
300
Given the congruence statement below, what side on the 2nd triangle is congruent to side CB?
What is FE?
400
Triangle A′B′C′ is a rotation of triangle ABC by 60 degrees using Q as the center. Select all statements that must be true.
a) Angle ABC is 60 degrees.
b) Angle AQA′ is 60 degrees.
c) Points C and C′ coincide.
d) Triangles ABC and A′B′C′ are congruent.
e) Angle ABC is congruent to angle A′B′C′.
f) Segment BC is congruent to segment B′C′.
g) Segment BQ is congruent to segment C′Q.
h) Segment AQ is congruent to segment A′Q.
What is B, D, E, F, H
400
In the triangle below, if "D" is the midpoint of AC, what is AD congruent to?
What is CD?
400
If two angles and the non-included side one triangle are congruent to two angles and the non-included angle of another triangle, then these two triangles are congruent.
What is AAS
400
What is the reason for statement #2 below?
Given: EF // HJ
Alternate interior angles theorem
BONUS POINT -
If two parallel lines are cut by a transversal, the alternate interior angles are congruent
400
Mx. Watson is ____ years old
What is 33
500
Triangle A′B′C′ is a reflection of triangle ABC across line ℓ. Select all statements that must be true.
a) Line ℓ bisects segment AB.
b) Line ℓ bisects segment CC′.
c) Angle ABC is 60 degrees.
d) Line BB′ is perpendicular to line ℓ.
e) Angle ABC is congruent to angle A′B′C′.
f) Triangles ABC and A′B′C′ are congruent.
g) Segment BC is congruent to segment B′C′.
h) The distance from point A to line ℓ is the same as the distance from point A′ to line ℓ.
B, D, E, F, G, H
500
Figure KLMN is a parallelogram. Prove that triangle KNL is congruent to triangle MLN.
500
If two sides and the non-included angle in one right triangle are congruent to two sides and the non-included angle of another right triangle, then these two triangles are congruent.
What is HL (hypotenuse-leg)
500
In the triangles below, AD || CE. Name 2 angles that must be congruent.
hint: DC and AE are transversals
What is <A and <E OR <D and <C?
(Alternate interior angles)
500
Name TWO congruence theorems that can be used to prove the triangles below are congruent without any additional information/proof. Need TWO ANSWERS to get the points!!!
What are SAS, HL, AAS?