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Siâp a Gofod / Shape and Space

Siâp a Gofod / Shape and Space. ADEILADWAITH / CONSTRUCTION. TRIONGLAU CRYF / STRONG TRIANGLES. Mae trionglau yn bwysig iawn. Mae siapiau sydd wedi eu gwneud â thrionglau yn rhai cryf iawn. Triangles are very important. Shapes that are made from

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Siâp a Gofod / Shape and Space

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  1. Siâp a Gofod / Shape and Space ADEILADWAITH / CONSTRUCTION

  2. TRIONGLAU CRYF / STRONG TRIANGLES • Mae trionglau yn bwysig iawn. • Mae siapiau sydd wedi eu gwneud â thrionglau yn rhai cryf iawn. • Triangles are very important. • Shapes that are made from • triangles are usually very strong. • Mae llawer o strwythurau fel pontydd, • peilonau a thyrau wedi cael eu hadeiladu yn defnyddio trionglau. • Many structures like bridges, • pylons and towers are built • using triangles.

  3. LLUNIO TRIONGL / DRAWING A TRIANGLE • Lluniwch driongl ABC / Draw triangle ABC • AB = 7cm, • Ongl / Angle A = 36° • Ongl / Angle B = 58° C 58° 36° A 7cm B Beth yw maint ongl C? 36 + 58 = 94° Ongl C = 180 – 94 = 86° What size is angle C? 36 + 58 = 94° Angle C = 180 – 94 = 86° Neu mae modd mesur ongl C gyda’r onglydd Or you could measure angle C using the protractor

  4. YMARFERION / EXERCISES • 1. Lluniwch y triongl LMN / Draw Triangle LMN • LM = 8cm, • Ongl / Angle L = 47° • Ongl / Angle M = 32° • b) Beth yw maint ongl N? What is angle N? • 2. Lluniwch y triongl PQR / Draw Triangle PQR • PQ = 6cm, • Ongl / Angle P = 28° • Ongl / Angle Q = 78° • b) Beth yw maint ongl R? What is angle R? • 3. Lluniwch y triongl XYZ / Draw Triangle XYZ • XY = 6.5cm • Ongl / Angle X = 56° • Ongl / Angle Y = 43° • b) Beth yw maint ongl Z? / Beth yw ongl Z?

  5. HANERU ONGL / BISECT AN ANGLE • Mae’n bosib haneru unrhyw ongl gan ddefnyddio cwmpas. • It’s possible to bisect an angle (in half) using a compass. Cam 1 : Agor y cwmpas i unrhyw bellter. Mae rhaid cadw y cwmpas ar yr un pellter trwy’r amser. Step 1 : Open the compass to any distance. You must keep the compass at this distance.

  6. HANERU ONGL / BISECT AN ANGLE • Mae’n bosib haneru unrhyw ongl gan ddefnyddio cwmpas. • It’s possible to bisect an angle (in half) using a compass. Cam 2 : Rhowch y cwmpas ar gornel yr ongl a lluniwch arc fechan sydd yn torri dwy fraich yr ongl. Labelwch y Pwyntiau yn A a B. Step 2 : Put the compass on the corner of the angle and draw a small arc which cross both arms of the angle. Label these points A and B. A B

  7. HANERU ONGL / BISECT AN ANGLE • Mae’n bosib haneru unrhyw ongl gan ddefnyddio cwmpas. • It’s possible to bisect an angle (in half) using a compass. Cam 3 : Rhowch y cwmpas ar bwynt A ac ailadroddwch cam 2. Yna gwnewch yr un peth gyda pwynt B. Step 3 : Put the compass on point A and repeat step 2. Then do the same with point B. A B

  8. HANERU ONGL / BISECT AN ANGLE • Mae modd defnyddio yr un dechneg • i lunio cylch perffaith tu mewn i • driongl. • It’s possible to use the same • method to draw a perfect • circle within a triangle. • Sylwch fod y cylch yn • cyffwrdd tair ochr y triongl. • Notice that the circle • touches the three • sides of the • triangle. COFIWCH GADW’R CWMPAS AR YR UN PELLTER REMEMBER TO KEEP THE COMPASS AT THE SAME DISTANCE

  9. HANERU ONGL / BISECT AN ANGLE COFIWCH GADW’R CWMPAS AR YR UN PELLTER REMEMBER TO KEEP THE COMPASS AT THE SAME DISTANCE

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