Download TestID 32339 09-12 Geometry DIA – Study Guide G.8.4 and D.6.2

TestID 32339
09-12 Geometry DIA – Study Guide
G.8.4 and D.6.2 – Logic and Reasoning
1. Find the inverse of "If a regular polygon is a regular hexagon, then each angle measures 120°."
A. If each angle of a regular polygon measures 120°, the polygon is a regular hexagon.
B. If a polygon is a regular hexagon, the polygon has six equal sides.
C. If a polygon is not a regular hexagon, each angle does not measure 120°.
D. If each angle of a regular polygon does not measure 120°, the polygon is not a regular hexagon.
2.
Katya wants to prove that EPB is congruent to PQD.
Her plan is to show that x = y using the fact that the interior
angles of quadrilateral PBDQ sum to 360. Which of the
following will she also need to use to complete her proof?
A. The sum of the interior angles of a triangle is always 180.
B. The Pythagorean Theorem
C. A line that is perpendicular to one line is also perpendicular to any line that is parallel to that line.
D. Adjacent angles are complementary.
3.
Which statement is the contrapostive of "If a quadrilateral is a square, then it has four right angles"?
A. If a quadrilateral is not a square, then it has four right angles.
B. If a quadrilateral does not have four right angles, then it is not a square.
C. If a quadrilateral is not a square, then it does not have four right angles.
D. If a quadrilateral has four right angles, then it is a square.
4.
1 and 2 are vertical angles. If m1 = 80 and m2 = 5x + 10, what is the value of
A. 100
5.
B. 10
C. 80
D. 14
Given the true statements "If ABC is similar to
congruent to S," which is a logical conclusion?
A. A is congruent to R.
B.
ABC is similar to
RST.
C. The triangles are isosceles.
D.
ABC is not similar to
RST.
?
RST, then B is congruent to S," and "B is not
6.
Which statement is logically equivalent to "If two angles sum is 90, then the angles are complementary angles"
A. If two angles sum is 90, then the angles are supplementary angles
B. If two angles sum is 90, then the angles are not complementary angles.
C. If two angles sum is not 90, then the angles are not complementary angles.
D. If the angles are complementary angles, then the angles sum is not 90.
7.
Given
, what is the value, in degrees, of x?
A. 43
8.
B. 15
C. 17
D. 13
What is the converse of the statement "If a2 + b2 = c2, then
A. If a2 + b2 = c2, then
B. If
ABC is not a right triangle.
ABC is a right triangle, then a2 + b2 = c2.
C. a2 + b2 = c2 if, and only if,
D. If
ABC is a right triangle"?
ABC is a right triangle.
ABC is not a right triangle, then a2 + b2
c2.
9.
Given:
Prove:
Choose the missing reasons why each pair of angles is congruent.
A. a: corresponding angles postulate
b: vertical angles theorem
C. a: vertical angles theorem
b: supplementary angles theorem
B. a: same side interior angles theorem
b: vertical angles theorem
D. a: corresponding angles postulate
b: alternate interior angles theorem
10. Which of the following is the inverse of the following statement?
"If you are a native of Florida, then you were born in Florida."
A. If you were born in Florida, then you are a native of Florida.
B. You are a native of Florida if and only if you were born in Florida.
C. If you are NOT a native of Florida, then you were born in Florida
D. If you were NOT born in Florida, then you are NOT a native of Florida.