7.04 Using triangle congruence
It is known that \triangle PQR \equiv \triangle STU.
State the three pairs of equal sides.
It is known that \triangle CDE \equiv \triangle LMN.
State the three pairs of equal angles.
It is known that \triangle GHI \equiv \triangle LMN.
State the three pairs of equal sides.
It is known that \triangle STU \equiv \triangle ABC.
State the three pairs of equal sides.
It is known that \triangle PQR \equiv \triangle ABC.
State the three pairs of equal angles.
It is known that \triangle STU \equiv \triangle PQR.
State the three pairs of equal sides.
State the three pairs of equal angles.
It is given that the triangles \triangle ABC and \triangle DEF are congruent.
State the three pairs of equal sides.
State the three pairs of equal angles.
It is known that \triangle QPO \equiv \triangle CBA.
Find the angle of \triangle QPO that corresponds to the following angles of \triangle CBA:
It is known that \triangle BAC \equiv \triangle FED.
Find the angle of \triangle FED that corresponds to the following angles of \triangle BAC:
Consider the adjacent figure:
Find the triangle congruent to \triangle EAB.
Find the angle that corresponds to:
Find the side that corresponds to:
Find the value of the pronumeral in the following pairs of congruent triangles:
Given that the following two triangles are congruent, find the length of NM.
Given that the following two triangles are congruent, find the length of SU.
Given that the following two triangles are congruent, find the size of \angle DEF.
Given that the given two triangles are congruent, find the size of the angle \angle NLM.
Given that the given two triangles are congruent, find the length of the side SU.
Consider the following triangles:
Given that LM = ST, and \angle LMK = 79 \degree, find the value of x.
Consider the following triangles:
Given that AB = ST, and \angle UST = 48 \degree, find the value of y.
Consider the following triangles:
Given that EF = HJ, and EG = 7, find the value of m.
Consider the diagram:
State the test that proves triangles \triangle DEG and \triangle FEG are congruent.
Find the value of q.
Consider the diagram where AD and AC are straight lines:
State the test that proves triangles \triangle ACE and \triangle ADB are congruent.
Find the value of p.
Consider the diagram where PT and RT are straight lines:
State the test that proves triangles \triangle PTS and \triangle RTU are congruent.
Find the value of x.
Consider the diagram where JL and KN are straight lines:
State the test that proves triangles \triangle JKN and \triangle MKL are congruent.
Find the value of y.
Consider the adjacent figure:
Prove that \triangle ABC is congruent to \triangle DFE.
Find the side equal to the following:
Consider the adjacent figure:
Prove that \triangle LNM is congruent to \triangle LNP.
Find the side of equal to the following:
Consider the adjacent figure:
Prove that \triangle ADB is congruent to \triangle CBD.
Find the angle equal to the following:
\angle ABD
\angle BCD
Consider the adjacent figure:
Prove that \triangle PSQ is congruent to \triangle RQS.
Find the angle equal to the following:
\angle PSQ
\angle QSR
Consider the adjacent figure:
Prove that \triangle ABD is congruent to \triangle CBD.
Find the angle equal to the following:
\angle ADB
\angle BCD
Consider the adjacent figure:
Prove that \triangle NOM is congruent to \triangle POQ.
Find the angle equal to the following:
\angle NOM
\angle OPQ
Two straight lines AB and CD (unequal in length) are drawn so that they intersect at their midpoint E:
Prove that \triangle AED and \triangle BEC are congruent.
State which side is equal in length to:
State which angle has an equal size with:
Explain why \angle AED is equal to \angle BEC.
Consider the diagram where the triangles \triangle PQT and \triangle QRS are congruent and PR is a straight line segment:
Prove that \triangle PQT and \triangle QRS are congruent.
Is the triangle \triangle QST congruent to the triangles \triangle PQT and \triangle QRS? If yes, state what triangle congruence test they satisfy.
Consider the diagram where GD and FH are straight lines:
Prove that \triangle EFG and \triangle EHD are congruent.
Explain why FG \parallel HD.
Consider the diagram where QS is a straight line segment:
Prove that \triangle PQR and \triangle PSR are congruent.
Explain why \triangle PQS is isosceles.
