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Reviewer Day 2

Total questions: 35

Worksheet time: 26mins

Name
Class
Date
1.

When a statement is accepted to be true without a proof then it is called (a)   ?

2.

Using the figure to the right,  NC  NCNC\ \cong\ NC     , what property of congruence is used?

(a)  

3.

Use the figures below. Note that ΔABCΔNET\Delta ABC\cong\Delta NET  . What segment corresponds to BC?

(a)  

4.

Use the figures below. Note that ΔABCΔNET\Delta ABC\cong\Delta NET  . What angle corresponds to E\angle E  

(a)  

5.

Use the figures below. Note that ΔABCΔNET\Delta ABC\cong\Delta NET  . If  AN and mA=80°\angle A\cong\angle N\ and\ m\angle A=80\degree    then measure of N\angle N  = (a)   .    

6.

Use the figures below. Note that ΔABCΔNET\Delta ABC\cong\Delta NET  . If   ACNTAC\cong NT     and measure of  NT is 10 cm then measure of  AC = (a)   .

7.

Use the figures below. Note that corresponding parts are being marked. ΔJOYΔ\Delta JOY\cong\Delta   (a)    .

8.

Use the figures below. Note that corresponding parts are being marked. Which angle is congruent to A\angle A  ?

(a)  

9.

If   BO ≅ NO, ∠BOY ≅ ∠NOR then which corresponding congruent parts is missing that

        will make each pair of triangles congruent by SAS?

a)

BO ≅ RO

b)

OBYONR\angle OBY\cong\angle ONR  

c)

BYONRO\angle BYO\cong\angle NRO  

d)

YO ≅ RO

10.

ΔBOY  Δ\Delta BOY\ \cong\ \Delta   (a)   by SAS congruence postulate.

11.

What additional information is needed to show that the pair of triangles below are congruent by SSS congruent postulate?

(a)  

12.

Using the figures on the right, prove that OPM and XYZ are congruent by SSS, what information is needed?

(a)  

13.

Which of the following statements is true about SAA congruence postulate?

a)

If two sides and the nonincluded angle of one triangle are congruent to two sides and the nonincluded angle of another triangle, then the triangles are congruent.

b)

If two angles and the nonincluded side of one triangle are congruent to two angles and the nonincluded side of another triangle, then the triangles are congruent.

c)

If two sides and the included angle of one triangle are congruent to two sides and included angle of another triangle, then the triangles are congruent.

d)

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

14.

Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

a)

Yes, ΔCABΔCADYes,\ \Delta CAB\cong\Delta CAD  

b)

Yes, ΔACBADCYes,\ \Delta ACB\cong ADC  

c)

Yes, ΔABCΔABDYes,\ \Delta ABC\cong\Delta ABD  

d)

No, the triangles cannot be proven congruent

15.

If   ΔPONΔSED\Delta PON\cong\Delta SED  using CPCTC and SAS Congruent postulate, if PO = 15cm, what is the measure of SE?

(a)  

16.

if   O = x +25\angle O\ =\ x\ +25  and E =50\angle E\ =50What is the value of x?

(a)  

17.

Given the figure, two triangles are congruent by (a)   postulate.

18.

From the figure , what is the value of y?

(a)  

19.

Given that the two triangles are congruent by SSS Postulate, what is the value of y?

(a)  

20.

Given that the two triangles are congruent by SSS Postulate, what is the value of x?

(a)  

21.

What is the value of y using SAA postulate?

(a)  

22.

If the measure of ∠CED = 60, then what is the measure of ∠BEA?

(a)  

23.

What is the reason for the 2nd statement?

(a)  

24.

What is the reason for the last statement?

(a)  

25.

Given: ∠1 ≅∠2  ;∠3 ≅∠4 

                 Prove:  ΔDAR ≅ΔDTR

What is the reason for the 2nd statement?

(a)  

26.

Given: ∠1 ≅∠2  ;∠3 ≅∠4 

                 Prove:  ΔDAR ≅ΔDTR

What is the reason for the last statement?

(a)  

27.

Given: XYZYXY\cong ZY  

           W is the midpoint of XZ

Prove: ΔXYWΔZYW\Delta XYW\cong\Delta ZYW  

What is the 1st reason?

(a)  

28.

Given: XYZYXY\cong ZY  

           W is the midpoint of XZ

Prove: ΔXYWΔZYW\Delta XYW\cong\Delta ZYW  

What is the 4th reason?

(a)  

29.

Given: XYZYXY\cong ZY  

           W is the midpoint of XZ

Prove: ΔXYWΔZYW\Delta XYW\cong\Delta ZYW  

What is the last reason?

(a)  

30.

SAA Postulate states that, “If two angles of one triangle are congruent to two angles of another and a side of the first triangle that is __________ to both angles is congruent to a side of the second triangle that is __________ to both angles, then the triangles are congruent.”

(a)  

31.

If ∆LOV≅∆MEI by SAA Postulate, which segment is congruent to LO?

(a)  

32.

If ΔABD ≅ ΔCBD by Isosceles Triangle Theorem, which angles are the base angles?

a)

∠A ≅ ∠C     

b)

∠BDA ≅ ∠BDC

c)

∠ABD ≅ ∠CBD       

d)

None of the above

33.

A triangle is considered as an isosceles triangle if its two legs are (a)   .

34.

A triangle is considered a right triangle if one of its interior angle is (a)   .

35.

This right triangle congruence theorem states that “If the legs of a right triangle are congruent

            to the corresponding legs of another right triangle, then the triangles are congruent.”

(a)