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Geometry

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Juvenal Dare

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Cards in this guide (22)
True or false In the body of an indirect proof you must show that the assumption leads to a contradiction

True
It is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.

True or false A corollary is a statement that can be easily proved using a theorem

For Apex the answer is “True“.

Which of the following are not techniques used in geometric constructions with paper folding

Creating arcs and circles with the compass

Measuring lengths of line segments by folding the paper and matching the endpoints

What is the formula for slope intercept form a line

The slope intercept equation of a line is y=mx+b, where m is the slope of the line and b is the y-intercept.

Zero-dimensional or one-dimensional figures

Yes, they do exist.

Is XYZ ABC If so name the postulate that applies

SAS

Which are accepted without proof in a logical system Postulates Axioms Theorems or Corollaries

Postulates and axioms are accepted without proof in a logical system. Theorems and corollaries require proof in a logical system.

Which property is illustrated by the following statement If hax rig then rig hax

symmetric

What tools allowed the Greeks to exploit the five basic postulates of Euclidean geometry

compass and straightedge

Which term describes the point where the three angle bisectors of a triangle intersect

incenter

What best describes the meaning of the term theorem

A conclusion provided by deductive reasoning

Is it possible to draw a scalene triangle with sides measuring 7 inches by 7 inches and 8 inches

no

What else would need to be congruent to show that efg pqr by asa

bc yz

Which term best describes a proof in which you assume the opposite of what you want to prove

The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.

What is a point that divides a line segment into two congruent segments

It is its midpoint

Which of the following is a congruence transformation


Reflecting

Which term best describes a mathematical statement of the form shown below if athen b

A conditional statement.

The diagram shows triangle HJK which term describes point L

Incenter

-APEX

Name the types of angles shown.

supplementary and straight

Is not part of the tringle proportionality theorem

The definition of a circle is not part of the triangle (or tringle, even) proportionality theorem.

In RST RS 15 RT 12 and ST 17. Which angle of RST has the smallest measure

It is angle RST.

which describes B

vertex angle

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