Geometry worksheet for constructing triangles using protractor and ruler, with sections for different construction methods.

I can see this is a worksheet about constructing triangles using different methods. Let me work through what's being asked in each section:

Section A: Construct triangles with given side lengths and angles using protractor and ruler
1) Triangle ABC: AB = 4 cm, BC = 5 cm, angle B = 35°
2) Triangle EFG: EF = 8 cm, FG = 7 cm, angle F = 110°
3) Triangle HIJ: HJ = 3.5 cm, IJ = 6 cm, right angle at J

Section B: Construct triangles with given angles and one side
1) Triangle KLM: KL = 2 cm, angle L = 133°, angle M = 12°
2) Triangle NOP: NO = 8 cm, angle N = 42°, angle O = 42°
3) Triangle QRS: QR = 5.5 cm, angle Q = 75°, angle R = 78°

Section C: Construct triangles with three given sides (SSS method), leaving construction lines
1) Triangle TUV: TU = 6 cm, UV = 5 cm, TV = 8 cm
2) Triangle WXY: WX = 3 cm, XY = 6.5 cm, WY = 9 cm
3) Triangle AZB: AZ = 5.4 cm, ZB = 4.9 cm, AB has tick marks indicating it equals AZ

Section D: Construct equilateral/isosceles triangles without protractor
1) Triangle DEF: DE = 6 cm, with tick marks showing all sides equal (equilateral)
2) Triangle GHX: GX = 3.2 cm, with tick marks on two sides (isosceles)
3) Triangle FKB: FB = 7.1 cm, with tick marks showing all sides equal (equilateral)

Since this is a construction task that requires physical drawing with tools, I cannot actually construct these triangles for you. However, I can explain the steps you need to follow for each type of construction.

Final Answer:

This worksheet requires you to physically construct triangles using geometric tools. Here are the construction steps for each section:

Section A (SAS - Side-Angle-Side):
1. Draw the first side with ruler
2. Use protractor to measure the given angle at one endpoint
3. Draw the second side from that angle
4. Connect the endpoints to complete the triangle

Section B (ASA/AAS - Angle-Side-Angle):
1. Draw the given side
2. Use protractor to construct both given angles at each endpoint
3. Where the two angle rays meet is the third vertex

Section C (SSS - Side-Side-Side):
1. Draw the longest side first
2. Set compass to length of second side, draw arc from one endpoint
3. Set compass to length of third side, draw arc from other endpoint
4. Where arcs intersect is the third vertex
5. Leave your construction arcs visible

Section D (Equilateral/Isosceles without protractor):
1. For equilateral: Draw base, set compass to base length, draw arcs from both endpoints, connect intersection to endpoints
2. For isosceles: Draw base, set compass to equal side length, draw arcs from both endpoints, connect intersection to endpoints

You'll need a ruler, compass, and protractor (for Sections A, B, C) to complete these constructions on paper.