prove pcq is complementary to abc?
478388
Given: AC||BD , AB||CD, and AC _|_ CD Prove: ∠PCQ is complementary to ∠ABC. Proof: Since AC _|_ CD m∠OCQ = 90° by the definition of perpendicular lines. By angle addition, we can say m∠OCQ = m∠OCP + m∠PCQ. ... ∠PQC and ∠ACP are supplementary by the Linear Pair Theorem.
38499
In triangle ABC, AD is a median and E is a midpoint of median AD. A line through B and E meets AC at point F. Prove that AC=3AF.
178591
If BD is a perpendicular bisector of AC, prove that ∆ABC isosceles. To prove that ∆ABC is isosceles, show that BA BC . We can do this by showing that the two segments are corresponding parts of congruent triangles. Since BDis perpendicular to AC , m∠BDA = m∠BDC = 90°.
441377
Given: ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. To Prove: (i) ABCD is a square. (ii) diagonal BD bisects ∠B as well as ∠D. and transversal AC intersects them.
1090928
['Corresponding sides are proportional. That is, the ratios of the corresponding sides are equal.', 'Corresponding angles are equal.']
573887
If in triangle ABC, AD is a median and AM is perpendicular to BC, then prove that AB2 = AD2-BC*DM + 1/4 BC2.
95589
ABCD is a rectangle in which diagonal AC bisects `/_A` as well as `/_C` . Show that: (i) ABCD is a square (ii) diagonal BD bisects `/_B` as well as `/_Ddot` .
939466
ABCD is a square. A is joined ta a point P on BC and D is joined to a point Q on AB . If AP=DQ ; prove that AP and DQ are perpendicular to each other.
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In the adjoining figure, M is the midpoint of side BC of a parallelogram ABCD such that ∠ BAM = ∠ DAM. Prove that AD = 2CD. In the adjoining figure, M is the midpoint of side BC of a parallelogram ABCD such that ∠ BAM = ∠ DAM.
915059
ABCD is a rectangle in which diagonal AC bisects `/_A` as well as `/_C` . Show that: (i) ABCD is a square (ii) diagonal BD bisects `/_B` as well as `/_Ddot` . Related Questions & Solutions: 1.
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Answer Expert Verified. Given: Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. AD and BC are parallelogram, this means that they are equal in measure.
166913
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If — AB ≅ — CD and — BC ≅ — DA , then ABCD is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
426167
If A and B are independent, P(exactly one of them occurs) = P(A) + P(B) — 2P(A)*P(B)
684829
If the diagonals AC and BD of a quadrilateral ABCD intersect O and separate the quadrilateral in four triangle are equal, can you prove ABCD is a parallelogram? Given that all triangles formed by diagonals of the quadrilateral are equal. ... We proved that diagonals of ABCD bisect each other. => ABCD is a parallelogram.
16993
If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B).
984204
Two tangents PQ and PR are drawn from an external point to a circle with centre O. Prove that QORP is a cyclic quadrilateral.
1388512
ABCD is a rectangle and O is the midpoint of AD ,P and Q are points on AB and CD ,respectively. such that AP=1/4AB and DQ=1/4DC. The ratio of area of the rectangle ABCD to that of the triangle OPQ is.