Determine whether the given information is enough to prove whether the triangles are congruent. If so, state which congruence shortcut proves they are congruent. If not, explain why.
Question 14
14.
Determine whether the given information is enough to prove whether the triangles are congruent. If so, state which congruence shortcut proves they are congruent. If not, explain why.
Question 15
15.
Question 16
16.
Question 17
17.
Find m∠B.
Question 18
18.
Solve for x.
Question 19
19.
Solve for x.
Question 20
20.
Consider the triangles shown.
Which can be used to prove the triangles are congruent?
SSS
ASA
SAS
AAS
In the triangles shown, △ABC is dilated by a factor of 2/3 to form △XYZ.
Given that m∠A = 50° and m∠B = 100°, what is m∠Z?
15°
25°
30°
50°
Select all possible congruence shortcuts that will prove that DGF ≅ DEF.
AAA
ASA
SAS
AAS
HL
SSS
Which transformation does NOT produce congruent figures?
Reflection over the x-axis
Translation right 3 units
Dilation by a scale factor of 0.4
Counterclockwise rotation 270° about the origin
Which of the following cannot be used to prove triangles congruent?
HL
SSS
SAS
AA
Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
A
B
C
D
What geometric construction is shown in the diagram below?
an angle bisector
a line parallel to a given line
an angle congruent to a given angle
a perpendicular bisector of a segment
What is the justification (reason)?
reflexive property
definition of segment bisector
definition of a midpoint
substitution property
What does CPCTC stand for?
Congruent Pieces of Congruent Triangles are Congruent
Congruent Parts of Congruent Triangles are Corresponding
Colorful Pieces of Corresponding Triangles are Congruent
Corresponding Parts of Congruent Triangles are Congruent
Which triangle congruence theorem can be used to prove the triangles are congruent?
ASA
SSS
SAS
HL
In ∆PRQ and ∆XYZ you are given that ∠R ≅ ∠Y and PR ≅ XY, what additional information would be sufficient to prove the two triangles are congruent by AAS?
PQ ≅ XZ
∠Q ≅ ∠Z
∠P ≅ ∠X
RQ ≅ YZ
Select ALL of the statements that are true about parallelograms.
Opposite sides are congruent.
Same-side angles are supplementary.
Opposite sides are congruent.
Opposite sides are parallel.
Same-side angles are congruent.
Diagonals bisect each other.
Diagonals are congruent to one another.
What type of angle pair is shown?
Alternate Interior Angles
Alternate Exterior Angles
Vertical Angles
Corresponding Angles
What additional information is needed to prove the triangles are similar by SAS?