Q3 - Math 8 - Summative Test

What is the if-then form of “A group is a dozen if it has 12 objects”?

• If a group does not have 12 objects, then it is not a dozen.

• If a group is not a dozen, then it does not have 12 objects.

• If a group has 12 objects, then it is a dozen.

• A group is a dozen if and only if it has 12 objects.

Which statement is the converse of “If the sum of two angles is 180°, then the angles are supplementary”?

• If two angles are supplementary, then their sum is 180°.

• If the sum of two angles is not 180°, then the angles are not supplementary.

• If two angles are not supplementary, then their sum is not 180°.

• If the sum of two angles is not 180°, then the angles are supplementary.

Two triangles are congruent if and only if there is a correspondence between the vertices such that each pair of corresponding sides and each pair of corresponding angles are congruent. This statement is an example of ________________.

• bi-conditional

• conclusion

• converse

• hypothesis

Which best describes deductive reasoning?

• using logic to draw conclusions based on accepted statements

• accepting the meaning of a term without definition

• defining mathematical terms to correspond with physical objects

• inferring a general truth by examining a number of specific examples

What is direct proof?

• A proof that assumes a statement's hypothesis is true and uses a series of logical deductions to conclude that the statement's conclusion is true.

• A proof that assumes that the statement being proven is false and then attempts to find a contradiction to that assumption proving the original statement to be true.

• A proof that always involves the multiplication of two values.

• A proof that can only use number properties to show that a certain statement is false.

What property of equality is illustrated by the statement,

If AB = CD, then CD = AB.

• Substitution

• Symmetric

• Reflexive

• Distribution

A pair of congruent triangles is shown as marked. Which statement must be true?

• $\angle DCA\cong\angle CAB$

• $\angle DCB\cong\angle DAB$

• $CD\cong AB$

• $AD\cong AB$

• ASA

• SAA

• SAS

• SSS

If $\Delta ABC\cong\Delta DEF$ , which segment is congruent to AB? 

• BC

• DE

• DF

• EF

If  $\overline{AB}$   bisect  $\angle CAD$  , which is NOT true?

•  $\angle CAB\cong\angle BAD$  

• B is in the interior of  $\angle CAD$  

•  $\overline{AB}\cong\overline{AC}\cong\overline{AD}$  

•  $m\angle CAD=m\angle CAB+m\angle BAD$