1.What axiom is illustrated in the statement, If A=B, B=C, then A=C ? A . multiplication B . reflexive C . symmetric D . transitive
2. What do you call the statements that are assumed to be true and do not need proof? A. axioms B . defined terms C . theorems D. undefined terms
3. Which of the following illustrates symmetric property? A. If a=b , then b=a B . If a=b, then ac= bc C . If a=b, then a+c = b+c D. If a=b, b=c and , then a=c
4. What do you call the lines that intersect at a point forming a right angle? A. diagonals B . parallel lines C . line segments D . perpendicular lines
5.Two angles with sum equal to 180°. A. acute angles B. nonadjacent angles C . vertical angles D . supplementary angles
6.What undefined term is a one-dimensional figure that has infinite points and extends indefinitely in opposite direction? A. Point B. Plane C. Line D. Angle
7.A line which passes through the midpoint of segment at right angles. A. diagonal B . congruent segments C . line segment D . perpendicular bisector
8. What figure is formed when two non collinear rays meet in a common point? A . square B . plane C. triangle D. angle
9. Which statement justifies congruent angles? A. If two lines intersect B . If it has the same measure C. If it has a common side D . If the sum of two angles is 180
10. If ∆LMN≅ ∆PRQ, then what angle corresponds to ∠Q? A . ∠L B . ∠N C . ∠P D. ∠R
11. How many pairs of corresponding sides are there in two congruent triangles? A. 1 B. 3 C.2 D. 4
12. Which of the following statements best describe the corresponding parts of congruent triangles? A. They are not equal. B . They are congruent. C. They are supplementary. D . They are complementary .
13. Which of the following figures illustrate pair of congruent triangles ?
14. Lyka was asked by her Math teacher to give and write the corresponding sides of congruent triangles, ∆CAT and ∆DOG , on the board. Her answer is shown on the right. Is Lyka’s answer correct? A. Yes, because each side of ∆CAT is paired correctly to each side of ∆DOG B. Yes, because each angle of ∆CAT is paired correctly to each angle of ∆ DOG C. No, because AT corresponds to OG D. No, because CT corresponds to OG
15. In SAS congruence Postulate, S stands for A. side B. included side C. included angle D. angle
16.In ASA congruence Postulate, S stands for A. side B. included side C. included angle D. angle
17. If ΔABC≡ ΔEDC, then what angle is congruent to angle A? A . angle B B. angle E C. angle D D. angle C
18. Corresponding parts of congruent triangles are __________. A . congruent B . similar C . proportional D . none of these
19. Miguel knows that in Δ MIG and Δ JAN , MI = JA , IG = AN , and MG = JN . Which postulate or theorem can he use to prove the triangles congruent? A. ASA B. AAS C. SAS D. SSS
20. Jancent knows that AB = XY and AC = XZ . What other information must he know to prove Δ ABC ≅ Δ XYZ by SAS postulate? A.∠ B ≅∠ Y B. ∠ C ≅∠ Z C . ∠ A ≅∠ X D . Δ ABC ≅ Δ XYZ
1. Given that ∆ABC ≅ ∆DEF, what angle corresponds to ∠A? A. ∠B B. ∠D C .∠C D. ∠F
2 . Given that ∆MPC ≅ ∆STW, what segment corresponds to MC ? A. CS B. MT C . MS D.SW
3 . If ∆ABC≅ ∆XYZ, which of the following is NOT true? A. ∠A ≅ ∠X B. AB ≅ YX C . ∠C ≅ ∠Z D. BC≅ YZ
4.Which of the following is a congruence statement in Figure 1? A . ∆LNM ≅ ∆PQR B . ∆NLM ≅ ∆PRQ C. ∆MLN ≅ ∆QRP D. ∆NLM ≅ ∆RPQ
5 . Beatriz makes a ribbon pattern for her art class. Figure 3 shows the pattern with marks indicating which lengths are equal. If CE = 7 cm and EG = 4 cm, find EF. A. 3 cm B. 7 cm C . 4 cm D . 11 cm
6 . Triangles MAN ≅ SEW and are right triangles. If AN ≅ ES and NM ≅SW , what special right triangle theorem will prove that ∆MAN≅∆WES? Figure is on the right. A. HyA Congruence Theorem B . HyL Congruence Theorem C. LA Congruence Theorem D . LL Congruence Theorem
7 . Triangle congruence statement that is true, SI bisects ∠ASK, SI ⊥ AK at I
8 . The figure at the right shows that ∆ABC ≅ ∆ FED. What theorem or postulate supports this statement? A. AAS Congruence B . ASA Congruence C. SAS Congruence D . SSS Congruence
9 .“If two angles and the included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent”. Which postulate proves this statement? A. AAS Congruence B . SAS Congruence C. ASA Congruence D . SSS Congruence
10. Which statement is NOT sufficient to prove the congruence of two triangles? A . Three angles of one triangle are congruent respectively to three angles of another triangle. B. Three sides of one triangle are congruent respectively to the three sides of another triangle. C. Two angles and the included side of one triangle are congruent respectively to the two angles and the included side of another triangle . D. Two angles and the non-included side of one triangle are congruent respectively to the two angles and the non-included side of another triangle
11. In an isosceles ∆ABC, let CD be an angle bisector of ∠BCA. What theorem or postulate can justify ∆DCA ≅ ∆ DCB? A. Angle-Angle-Side B . Hypotenuse- Leg C. Hypotenuse-Acute Angle D . Side-Angle- Side
12. In item number 11 , ∆DCA≅ ∆DCB. What other corresponding sides are congruent by CPCTC aside from CD ≅ CD ? A.CD ≅ CA B. CD ≅ CB C . DA ≅ DB D. DA ≅ AC
13. What property justifies the statement “BD ≅BD"? A. Equivalence B. Symmetric C . Reflexive D. Transitive
14. The figure at the right are overlapping triangles where ∠SIH≅ ∠NHI and SI≅NH. Which of the following relations is true? A. ∆SHI≅ ∆HIN B . ∆SHI≅ ∆HNI C. ∆SHI≅ ∆NHI D . ∆SHI≅ ∆NIH
16.How many line/s is/are needed to bisect a given angle? A. four B. one C . three D. two .
17. What do you call the line, ray or segment that divides the angle into two congruent parts? A. Midpoint B . Angle Bisector C . Betweeness D . Segment Bisector
18. What do you call the lines that intersect and form a right angle ? A. intersecting B. perpendicular C . parallel D. skew
19. Refer to the figure at the right. Given: HA is perpendicular bisector of MT. Which of the following angles are congruent? A. ∠ MAH and ∠TAH B . ∠AHT and ∠MAH C . ∠AHT and ∠HTA D . ∠HAM and ∠ THA
20. Which of the following describes the adjacent angles in the given figure at the right? A. Congruent and are both right angles. B. Congruent and are supplementary angles. C. Congruent and are complementary angles. D. Congruent and are corresponding angles of the congruent triangles