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Quiz Discussion

Title: Congruency of triangles (SAS)

Grade: 10-a Lesson: S2-L1

Explanation:

Quiz: Discussion in Class

Problem Id	Question
Steps 1	In the given figure AB and CD are intersecting at O, OA = OB and OC = OD, then prove that \$\triangleAOD \cong \triangleBOC\$. $1$
Steps 2	AB is a line segment and line m is its perpendicular bisector. If a point P lines on m, then show that P is eqidistant from A and B. $2$
Steps 3	MNOP is a square, the diagonals of the square intersects at point Q. Then show that \$\triangle NQM \cong \triangle PQO\$. $3$
Steps 4	ABCD is a parallelogram, BD is the diagonal of parallelogram ABCD. Then show that \$\triangle CDB \cong \triangle ADB\$. $4$
Steps 5	PR and QS are diameters of a circle with center O and PR is perpendicular to QS then show that \$\trianglePOQ \cong \triangle SOR\$. $5$

Problem Id

Question

Steps 1

In the given figure AB and CD are intersecting at O, OA = OB and OC = OD, then prove that \$\triangleAOD \cong \triangleBOC\$.

$1$

AB is a line segment and line m is its perpendicular bisector. If a point P lines on m, then show that P is eqidistant from A and B.

$2$

MNOP is a square, the diagonals of the square intersects at point Q. Then show that \$\triangle NQM \cong \triangle PQO\$.

$3$

ABCD is a parallelogram, BD is the diagonal of parallelogram ABCD. Then show that \$\triangle CDB \cong \triangle ADB\$.

$4$

PR and QS are diameters of a circle with center O and PR is perpendicular to QS then show that \$\trianglePOQ \cong \triangle SOR\$.

$5$