# Isosceles Triangle Worksheet Answer Key

Isosceles Triangle Worksheet Answer Key – Q8) Show the following in the given diagram: ∠a = ∠b + ∠c (i) ∠b = 60° and ∠c = 50° Find ∠a. (ii) Find ∠c if ∠a = 100° and ∠b = 55°. (iii) For ∠a = 108° and ∠c = 48°. Find ∠b.

Q10) One angle of a triangle is 60°. The ratio of the other two sides is 5:7. Find the two sides.

## Isosceles Triangle Worksheet Answer Key

Q11) One angle of a triangle is 61° and the ratio of the other two angles is 1frac:1frac. . Find this angle.

#### D Shapes Worksheets 2nd Grade

Q2) Use the shapes of right triangles and right triangles to find the unknown angle in the given figure.

Q4) One base angle of an isosceles triangle is 52°. Find the angle.

Q5) In an isosceles triangle, each base angle is 4 times the vertex angle. find all the sides of the triangle

Q6) The vertex angle of an isosceles triangle is 15° greater than the base angle. Find each side of the triangle.

### Polygons And Solids

Q7) The base angle of an isosceles triangle is 15° greater than the vertex angle. Explore every nook and cranny.

Question 8) The vertex angle of an isosceles triangle is 3 times the sum of the base angles. Explore every angle.

Q9) The ratio of base angle to vertex angle of an isosceles triangle is 1 : 4. Find each angle of the triangle.

Q10) In this figure, BI is the bisector of ∠ABC and Cl is the bisector of ∠ACB. Find ∠BIC.

## Right Isosceles Triangles

Q12) (a) In figure (i), AB bisects ABC and AB = AC. find x. (b) Find x from figure (ii). Given: DA = DB = DC, BD bisects ABC and ADB = 70°.

Question 13) In each figure below, ABCD is a square and ΔBEC is an equilateral triangle. Find each case: (i) ∠ABE (ii) ∠BAE

Q1) Construct ∆ABC as follows: (i) AB = 6 cm, BC = 4 cm, CA = 5.5 cm (ii) CB = 6.5 cm, CA = 4.2 cm, BA = 51 cm (iii) BC = 4 cm, AC = 5cm, AB = 3.5cm

Q2) Construct ABC as follows: (i) AB = 7 cm, BC = 5 cm, ∠ABC = 60° (ii) BC = 6 cm, AC = 5.7 cm, ∠ACB = 75° (iii) AB = 6.5 cm. , AC = 5.8 cm, ∠A = 45°

### Question Video: Finding The Measure Of The Vertex Angle In Isosceles Triangles

Q3) (i) Construct Δ PQR such that PQ = 6 cm, ∠Q = 60° and ∠P = 45°. Measure ∠R. (ii) QR = 4.4 cm, ∠R = 30°, ∠Q = 75°. Measure PQ and PR. (iii) PR = 5.8 cm, ∠P = 60°, ∠R = 45°. Measure ∠Q and check the calculation

Q5) (i) Construct an isosceles triangle ∆ABC such that AB = AC = 6.5 cm and ∠A = 60 ° (ii) One side = 6 cm and vertex angle = 45 °. Measure the base angle. (iii) BC = AB = 5-8 cm, ZB = 30 °. Measure ∠A and ∠C.

Q6) Construct two sides ABC: (i) A B = cm 5. Draw the pericycle of the bisectors BC and AC. Let P be the intersection of these two points. Measure PA, PB, and PC. (ii) each side is 6 cm;

Q7) (i) Construct Δ ABC such that AB = 6 cm, BC = 4.5 cm and AC = 5.5 cm. Circle this triangle. (ii) Construct equilateral triangles ΔPQR such that PQ = PR = 6.5 cm and ∠PQR = 75°. Using a ruler and compass, draw a circle around this triangle. (iii) Construct an equilateral triangle ABC with side = 5.5 cm. Draw a circle around this triangle.

#### Isosceles And Equilateral Triangles Notes Worksheet

Q8) (i) Construct ΔABC such that AB = 6 cm, BC = 5.6 cm and CA = 6.5 cm. Inscribe a circle in this triangle and measure the radius. (ii) Construct a right triangle ΔMNP with base MN = 5.8 cm and base angle MNP = 30°. Draw an inscribed circle in this triangle and measure the radius. (iii) Construct an equilateral triangle ΔDEF of side 5.5 cm. Make an inscribed circle in this triangle. (iv) Construct Δ PQR such that PQ = 6 cm, ∠QPR = 45° and PQR = 60°. You are here: Home → Worksheets → List of Triangles A worksheet for listing triangles by sides, sides, or both.

Find here an unlimited number of pages to place triangles on sides, angles, or both. Worksheets are available in PDF and html format.

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#### Geometry: Lines Points Rays Angles And More

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This is a non-intimidating way to prepare students for formal geometry lessons. The Geometry Key Workbook introduces students to a variety of geometric shapes that they learn through construction. Using a pencil, compass, and ruler, students begin to draw lines, divide sides, and create lines. Then they need to build a tall building with ten or more steps to create a common structure. Upon completion, students will be familiar with 134 geometric terms and ready to tackle formal proofs.

#### Isosceles And Equilateral Triangles

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