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WorksheetsUnit 8A Review
Total questions: 10
Worksheet time: 34mins
The accompanying image is a proof proving that the opposite sides of a parallelogram are congruent. What could statement 1 (top left box) be?
AB ≅ CD
CB ≅ AB
CB ≅ CB
BD ≅ AC
A right triangle can only have one right angle. How could you prove this by contradiction?
If a triangle has more than one right angle, then the sum of the interior angles would be greater than 180 degrees.
Using the HL congruence theorem.
Drawing an angle bisector of a right angle.
Drawing a segment bisector of the hypotenuse.
Which rigid transformation proves that vertical angles 1 and 3 are congruent?
Translating angle 1 to the right.
Rotating 90 degrees about point x.
Rotating 180 degrees about point x.
A reflection across a horizontal line that travels through point x.
In the image, we can say:
∠1 ≅ ∠4 because vertical angles are congruent
∠4 ≅ ∠5 because alternate interior angles are congruent
∠5 ≅ ∠8 because vertical angles are congruent
Therefore, ∠1 ≅ ∠8 because:
The reflexive property of equality.
The AAA congruence theorem.
Same side exterior angles are congruent.
The transitive property of equality.
Which of the following prove that two triangles are congruent? Select all that apply.
SSS
SSA
AAA
SAS
AAS
What reason would complete the proof?
CPCTC
ASA
SAS
SSA
SSS
What reason is missing?
CPCTC
ASA
SSS
SAS
SSA
What is the "statement" for step 3 of the proof?
HA=HA
MH=MH
MA=AM
MA=MA
HT=HT
Parallelogram WXYZ has diagonals WZ and XY. What is always true about its diagonals? Select all that apply.
They bisect each other
They are congruent.
They are perpendicular.
They are parallel.
