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WorksheetsCongruent Similar Proof
Total questions: 15
Worksheet time: 15mins
Which of the following is NOT a valid reason to prove congruent triangles?
SSA
ASA
SAS
SSS
M is the mid point of AB. Name the postulate, if possible, that makes the triangles congruent.
HL
ASA
AAS
Not enough information
Fill in the missing pieces of the proof.
Transitive Property, SAS(Side-Angle-Side)
Reflexive Property, SAS(Side-Angle-Side)
Reflexive Property, Vertical Angles Thm.
Transitive Property, SSS(Side-Side-Side)
You should use CPCTC ______
before you prove triangles congruent
to prove two triangles congruent
after proving triangles congruent to get the corresponding parts congruent
never use CPCTC it is not a thing
The Base Angles Theorem states:
If two angles of a triangle are congruent, then the sides opposite of those angles are congruent.
If two sides of a triangle are congruent, then the angles opposite of those sides are congruent.
If two triangles are congruent, then their corresponding sides and angles are congruent.
None of the above.
What will the last "reason" of this proof be?
Definition of Midpoint
Definition of Angle Bisector
CPCTC
Reflexive
What additional information can we conclude from the given and why?
∠ADB and ∠ADC are right angles because AD goes straight down.
∠B≅∠C because the triangle is isosceles
∠BAD≅∠CAD because they look the same
None of the above
In similar triangles, corresponding angles are ___________.
similar
congruent
overlapping
proportional
When proving these triangles similar, what would you write in for the missing reason?
Math
Corresponding sides are proportional
Corresponding sides are congruent
SSS similarity postulate
What reasons complete the proof?
Given, AA Similarity Postulate
Vertical Angle Theorem, AA Similarity Postulate
Reflexive Property, SAS Similarity Postulate
Definition of Angle Bisector, SSS Similarity Postulate
Which of the following cannot be used to prove triangles congruent?
HL
AA
SSS
SAS
All of the following prove triangles congruent except
SSS
SAS
CPCTC
HL
This is a proof of the statement “If a line is parallel to one side of a triangle and intersects the other two sides at distinct points, then it separates these sides into segments of proportional lengths." Which reason justifies Step 2?
Alternate interior angles are congruent
Alternate exterior angles are congruent
Corresponding angles are congruent
Vertical angles are congruent
Which transformation results in a figure that is similar to the original figure but has a greater area?
A dilation of triangle QRS by a scale factor of 0.25
A dilation of triangle QRS by a scale factor of 0.5
A dilation of triangle QRS by a scale factor of 1
A dilation of triangle QRS by a scale factor of 2
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 degrees
25 degrees
30 degrees
50 degrees
