#### Question Details

Question 1 Fill in the blank: AC¯¯¯¯¯is ___________ of△ABC.

a)equal to one other side

b)the middle side

c)equal to two other sides

d)the shortest side

e)the longest side

f)None of the above

Review LaterQuestion 2 Compare lengths of AB¯¯¯¯¯andDB¯¯¯¯¯

a)AB¯¯¯¯¯<DB¯¯¯¯¯

b)AB¯¯¯¯¯>DB¯¯¯¯¯

c)Not enough information to compare.

d)AB¯¯¯¯¯=DB¯¯¯¯¯

e)None of the above

Review LaterQuestion 3 Given that the three sides of△PQR(not shown) arePQ=5,QR=13, andPR=9, arrange the angles by size.

a)m∠P> m∠Q> m∠R

b)m∠R> m∠Q> m∠P

c)m∠R> m∠P> m∠Q

d)m∠P> m∠R> m∠Q

e)m∠Q> m∠P> m∠R

f)m∠Q> m∠R> m∠P

g)None of the above

Review LaterQuestion 4 Is it possible to draw a triangle whose angles measure 80°, 80°, and 60°?

a)Possible only if the base of the triangle is shorter than the other two sides.

b)Possible only if the base of the triangle is longer than the other two sides.

c)Not possible

d)Possible

e)None of the above

Review LaterQuestion 5 Given m∠X= m∠Y= 45° in△XYZ(not shown). Which of the following is a correct description of△XYZ?

a)Isosceles right triangle

b)Scalene acute triangle

c)Isosceles acute triangle

d)Isosceles obtuse triangle

e)Scalene obtuse triangle

f)None of the above

Review LaterQuestion 6 Using the accompanying drawing, find m∠ABDif m∠BAC=20° and m∠BDC=50°

a)20°

b)50°

c)10°

d)30°

e)15°

f)None of the above

Review LaterQuestion 7 The measures of two sides of a triangle are 14 and 16. Between what two numbers must the measure of the third side fall?

a)2 and 20

b)-2 and 30

c)0 and 30

d)2 and 15

e)2 and 30

f)None of the above

Review LaterQuestion 8 Suppose thatBC¯¯¯¯¯is the base of isosceles△ABC(not shown). Find the perimeter of△ABCifAB=7andBC=9.

a)16

b)63

c)25

d)23

e)32

f)None of the above

Review LaterQuestion 9 Two of the sides of an isosceles triangle have lengths of 16 cm and 6 cm. What is the length of the base?

a)12 cm

b)7 cm

c)8 cm

d)6 cm

e)16 cm

f)None of the above

Review LaterQuestion 10 A triangle is both isosceles and acute. If one angle of the triangle measures 46°, what are the measures of the largest and smallest angles of the triangle?

a)largest angle = 67°; smallest angle = 46°

b)largest angle = 88°; smallest angle = 46°

c)largest angle = 157°; smallest angle = 67°

d)largest angle = 87°; smallest angle = 46°

e)largest angle = 134°; smallest angle = 67°

f)None of the above

Question 1

Congruent parts are indicated by like dashes (sides) or arcs (angles). Which of the

following methods (if any) would be used to prove the two triangles congruent? a) SSS b) SAS c) HL d) ASA e) AAS f) None of the above

Review Later Question 2

Congruent parts are indicated by like dashes (sides) or arcs (angles). Which of the

following methods (if any) would be used to prove the two triangles congruent? a) ASA b) SSS c) SAS d) No method can prove the two triangles are congruent. e) AAS f) None of the above

Review Later Question 3

Name the angle opposite CD¯¯¯¯¯ a) ∠BAC b) ∠CAD c) ∠A d) ∠D e) ∠ACB f) None of the above

Review Later Question 4

Name the included side for ∠ABC and ∠ACB a) AC¯¯¯¯¯ b) CD¯¯¯¯¯ c) AD¯¯¯¯¯ d) BC¯¯¯¯¯ e) BD¯¯¯¯¯ f) None of the above

Review Later Question 5

Name the included angle for AB¯¯¯¯¯ and BC¯¯¯¯¯ a) ∠C b) ∠ACB c) ∠ACD d) ∠ABC e) ∠CAD f) None of the above

Review Later Question 6

Name a pair of parts of △ABE and △CBD that are congruent by Identity. a) ∠A ≅ ∠C b) BE¯¯¯¯¯ ≅ BE¯¯¯¯¯ c) ∠B ≅ ∠B d) ∠A ≅ ∠A e) AE¯¯¯¯¯ ≅ CD¯¯¯¯¯ f) None of the above

Review Later Question 7

Choose a correct congruence statement for the triangles below

if BA¯¯¯¯¯ ≅ BC¯¯¯¯¯ and AE¯¯¯¯¯ ≅ DC¯¯¯¯¯ a) △ABE ≅ △BDC b) △ABE ≅ △CDB c) △ABE ≅ △DCB d) △ABE ≅ △CBD e) △ABE ≅ △BCD f) None of the above

Review Later Question 8

Given ∠A ≅ ∠D and CB¯¯¯¯¯ bisects ∠ACD. Give the reason

why △ABC ≅ △DBC a) ASA b) SSS c) AAA d) AAS e) SAS f) None of the above

Review Later Question 9

Given △ACD is isosceles and B is the midpoint of AD¯¯¯¯¯. Give the reason

why △ABC ≅ △DBC a) SSS b) SAS c) AAS d) AAA e) ASA f) None of the above

Review Later Question 10

Given ∠1 ≅ ∠4 and AB¯¯¯¯¯ ≅ BE¯¯¯¯¯. Give the reason why △ABC ≅ △EBD a) SSS b) AAS c) ASA d) HL e) SAS f) None of the above

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