Question

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1. If two quadrilaterals are congruent, then there must be _____ pairs of corresponding sides.

A) 8
B)2
C)4
D)3

2. Look at the figure and the given information. Which statement is true? look at the first picture.

A) TK ≅ TR

B) ∆TKP ≅ ∆PTR

C) ∠PKT ≅ ∠​PKR

D) ∆KPT ≅ ∆KRT




3) If CDEF ≅ MNPQ, then ∠P ≅ _____

A) ∠F.

B) ∠C.

C) ∠E.

D)∠D.


4. Look at the figure. If ∆LMC ≅ ∆BJK, then _____ ≅ ∆JKB.look at the second picture.


A) ∆CML

B) ∆MCL

C) ∆MLC

D) ∆LCM


5. If ABCDE ≅ LMNPQ, then how many pairs of corresponding parts are in the figures?

A) 7

B)12

C)10

D) 5


6. If ∠C ≅ ∠​M, ∠E ≅ ∠​Q, ED, ≅ QN,CD ≅MN and EC≅QM , then _____ ≅∆MQN.



A) ∆CED

B)∆DCE

C)∆ECD

D)∆DEC

7. If ∆ABC ≅ ∆DEF, which one of these is a pair of corresponding parts?


A) ∠B and ∠D​

B) ∠B and ∠E​

C) ∠C and ∠E​

D) CB and ED


8. Look at the figure. Which statement is true?look at the third picture.

A) ∆QRP ≅ ∆PRS

B) ∆QPR ≅ ∆SPR

C) ∠QPR ≅ ∠​PSR

D)∆RPS ≅ ∆PQR


9. If two angles of one triangle are congruent to two angles of another triangle, then the ____ are congruent.

A)sides

B) third sides

C)third angles

D)triangles


10. If CDEF ≅ MNPQ, then ∠N ≅ _____


A) ∠C.

B)∠E.

C)∠D.

D)∠F.

Answer 1

I'm not positive on the first one but I believe it's all four sides.

2) KPT and KRT. when stating congruence the order must be the same. in this case the start and end of the triangle is the same (K, and T)
3) C. :E, The letter placement matches. in number two P is congruent to R.
4) B. if you start at the top (J) then to find the other triangle you must also start at the top. it goes from J to K. so on the other triangle you must also go the short leg first so M to C. then finish it off.
5)D. if one triangle has LMNPQ, then there are five letters so five parts. the other triangle is congruent and also has five letters and five parts. so there are five congruent parts
6)D. its asking for the triangle congruent to MQN. it says C and N are equal and N is at the end of the order so the congruent triangle must have C at the end of the order.E and Q are congruent and Q is in the middle so E must also me in the Middle. the only option is DEC
7) B this test really makes you focus on placement. in the congruent statement the E and B and both in the middle and therefore pair up together
8)B. again, if you start with the angle that is congruent in one order then its needs to happen for the other order. Then they both follow down the congruent side with 1 tally and finish it off with the side they both share.
9) I'm thinking its "triangles" it sounds like AAS or AAA congruency

As a side note for a lot of these just remember CPCTC. Corresponding Parts of Congruent Triangles are Congruent

Finally 10)C. CPCTC. its all about order

Answer 2

Answer: 1.If two quadrilaterals are congruent, then there must be 4 pairs of corresponding sides. [C) is true]

2. Statement ∆KPT ≅ ∆KRT. [D) is true.]

3. If CDEF ≅ MNPQ, then ∠P ≅ ∠E [C) is true.]

4. If ∆LMC ≅ ∆BJK, then ∆MCL ≅ ∆JKB. [B) is true.]

5. If ABCDE ≅ LMNPQ, then there are 10 pairs of corresponding parts .

6. If ∠C ≅ ∠​M, ∠E ≅ ∠​Q, ED, ≅ QN,CD ≅MN and EC≅QM , then ∆CED ≅∆MQN [A) is true]

7. ∠B and ∠E​ will be a pair of corresponding parts if ∆ABC ≅ ∆DEF. [B) is true.]

8. B) is true.∆QPR ≅ ∆SPR

. [B) is true]

9. If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. [C) is true.]

10. If CDEF ≅ MNPQ, then ∠N ≅ ∠D. [C) is true.]