Which of the following refers to a statement that requires proof before it is accepted as true?

Which of the following best describe the importance of mathematical system?

Which of the following are components of mathematical system

i. Axioms       ii. Illustrations          

iii. Theorems             iv. Undefined Terms

Which of the following properties justifies the statement $$\overline{BD}\cong\overline{BD}$$  ?

Which of the following properties justifies the statement “If $$\overline{AD}\cong\overline{CD}$$   and $$\overline{CD}\cong\overline{GF}$$  , then $$\overline{AD}\cong\overline{GF}$$  ”?

Given that ∆DBA↔∆FEG, which angle corresponds to ∠EFG?

Suppose the three triangles are congruent, which of the following statements of congruence is NOT TRUE?

Formulate a valid conclusion: “If $$m\angle R+m\angle M=90$$   , then ______________.”

What is the valid conclusion given that $$\angle E\ and\ \angle F$$   form a linear pair?

If point U is in the interior of $$m∠SLT$$  , what justifies that $$m∠SLU+m∠TLU=m∠SLT$$  ?

Given that   $$∠A\ and\ ∠B$$   are right angles, what reason proves that $$∠A≅∠B$$  ?

Chia wanted to prove that $$∆ASJ≅∆ROP$$   using ASA congruence postulate, given that $$∠A≅∠R$$  ; $$∠J≅∠P$$  , what additional statement must she need?

Given ΔFOR, which is the included angle between side FO and side OR?

Given ΔFOR, which is the included side between $$\angle O$$ and $$\angle R$$  ?

Given ΔFOR, which is the included side between   $$\angle F\ and\ \angle R$$  ?

Given that $$\overline{BC}\cong\overline{DC}$$   and $$\angle B\cong\angle D$$  , what congruence postulate proves that $$∆ABE≅∆CDE$$  ?

Which of the following shows congruent triangles?

Which of the following cannot be used to prove that two triangles are congruent?

If AD bisect ∠BAC, then AD = AD and AB = AC, what triangle congruence is shown?

$$What\ triangle\ congruence\ is\ shown\ in\ the\ figure?$$  

Given $$∆LMN≅∆FAP$$  ,  with $$ML=15$$  , $$m\angle M=75$$ and $$m\angle P=23$$  , which side of $$∆FAP$$   measures 15?

Given $$∆LMN≅∆FAP$$  ,  with $$ML=15$$  , $$m\angle M=75$$ and $$m\angle P=23$$  , what is the measure of $$\angle L$$   in $$∆LMN$$  ?

Given that $$∠BEA\ and\ ∠DFC$$  are right angles and $$\overline{AE}\cong\overline{CF}$$  what theorem or postulate guarantees that $$∆AEB≅∆CFD$$  ?

$$∠BEA\ and\ ∠DFC$$  are right angles. To establish congruence between $$∆EBC\ and\ ∆FDA$$   using HA Theorem, which pair of corresponding parts do you need to show as congruent?

Given that $$∠BEA\ and\ ∠DFC$$  are right angles. What postulate guarantees that $$∆BAC≅∆DCA$$  ?

$$∠BEA\ and\ ∠DFC$$  are right angles. Which pair of corresponding parts do you still need to show as congruent to establish congruent between $$∆BEA≅∆DFC$$  using AAS Postulate?

Given that $$∠BEA\ and\ ∠DFC$$  are right angles. Suppose that $$∆AFD≅∆CEB$$  , which statement justifies that $$\overline{AF}\cong\overline{CE}$$  ?

Given the figure with $$\overline{BE}\cong\overline{LO},\ ∠E≅∠O,\ and\ \overline{LE}\cong\overline{BO}$$ ,which of the following proves that $$∆BEL≅∆LOB$$  ?

Given $$∆LMN≅∆FAP$$   with ML=15, $$m\angle M=75$$   and $$m\angle N=35$$  . What is the measure of $$\angle P$$   in $$∆FAP$$  ?

You are tasked to make a design of the flooring of a chapel using triangles. The available materials are square tiles. How are you going to make the design?

The figure below shows ΔABC $$\cong$$   ΔDEF, what is the value of x?

Which postulate can be used to prove the triangles congruent?

Given the figure below, what is the length of side BC?

Given the figure below, solve for the value of x?

Given that ∆ABC ≅ ∆DEC and m∠E = 23°, find measures of ∠ACB.

Refer on the illustration. What is the correct STATEMENT for 37?

Refer on the illustration. What is the correct STATEMENT for 38?

Refer on the illustration. What is the correct REASON for 39?

Refer on the illustration. What is the correct REASON for 40?