SaiBook.us Geometry

Home Course Section

Register Enroll Refer

Quiz Discussion

Title: Congruency of triangles (ASA)

Grade: 10-a Lesson: S2-L2

Explanation:

Quiz: Discussion in Class

Problem Id	Question
Steps 1	\$AB ∥ DC\$, \$AD ∥ BC\$ and \$AC\$ is the diagonal of the parallelogram \$ABCD\$. Prove \$\triangleABC \cong \triangleCDA\$. $d1$
Steps 2	\$AB ∥ DC\$, E is the mid-point of BC, prove \$\triangleEBF \cong \triangleECD\$. $d2$
Steps 3	\$AB ∥ DC\$, E is the mid-point of BC, then show that \$\triangle AEB \cong \triangle DEC\$. $d3$
Steps 4	ACBD is a cyclic quadrilateral, AC = AD and AB bisects \$\angleA\$. Show that \$\triangle ABC \cong \triangle ABD\$. $d4$
Steps 5	QN bisects RP and MO, S is the mid-point of QN and QP = MN, then show that \$\triangleMSN \cong \trianglePSQ\$. $d5$

Problem Id

Question

Steps 1

\$AB ∥ DC\$, \$AD ∥ BC\$ and \$AC\$ is the diagonal of the parallelogram \$ABCD\$. Prove \$\triangleABC \cong \triangleCDA\$.

$d1$

\$AB ∥ DC\$, E is the mid-point of BC, prove \$\triangleEBF \cong \triangleECD\$.

$d2$

\$AB ∥ DC\$, E is the mid-point of BC, then show that \$\triangle AEB \cong \triangle DEC\$.

$d3$

ACBD is a cyclic quadrilateral, AC = AD and AB bisects \$\angleA\$. Show that \$\triangle ABC \cong \triangle ABD\$.

$d4$

QN bisects RP and MO, S is the mid-point of QN and QP = MN, then show that \$\triangleMSN \cong \trianglePSQ\$.

$d5$