0065-0MWALA_LEARN-CONGRUENT-SOLVING-FOREVER-2-NOTES

Objectives: 0065-0MWALA_LEARN-CONGRUENT-SOLVING-FOREVER-2-NOTES

Geometry Questions — Diagrams

Geometry Questions (with diagrams)

Question 1

In the following figure, BA = BC and KA = KC. Prove that ∠BÂK = ∠BĈK.

Question 1 diagram A C K B ∠BÂK ∠BĈK
Question 2

A quadrilateral MNOP has the property that MN = OP and MP = NO. Prove that ∠PMN = ∠NÔP.

Question 2 diagram M N O P ∠PMN ∠NÔP
Question 3

Use the following figure to prove that ML = PL.

Question 3 diagram M P L O ML PL
Question 4

In the following figure, prove that ∠AĈD = ∠CĐB.

Question 4 diagram A C O D R ∠ACD ∠CDB
Question 5

Use the following figure to prove that ∠BMÂ = ∠CMÂ = 90°, given that AB = AC.

Question 5 diagram B C A M
Question 6

If ABCD is a square and AR = BR, prove that R is the midpoint of DC.

Question 6 diagram A B C D R
Question 7

Prove that the line segment from the vertical angle of an isosceles triangle to the mid-point of its base is perpendicular to the base.

Question 7 diagram A B C M
Question 8

In the following figure, prove that BD = DC.

Question 8 diagram A B C D

Reference Book: N/A

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