Quiz 4-1: Classifying and Solving for Sides/Angles in Triangles

If W(-10, 4), X(-3, -1), and Y(-5, 11), find the length WX using the distance formula. Give your answer in simplest radical form.

Tags

CCSS.HSG.GPE.B.7

If W(-10, 4), X(-3, -1), and Y(-5, 11), find the length XY using the distance formula. Give your answer in simplest radical form.

Tags

CCSS.HSG.GPE.B.7

If W(-10, 4), X(-3, -1), and Y(-5, 11), find the length WY using the distance formula. Give your answer in simplest radical form.

Tags

CCSS.HSG.GPE.B.7

Solve for x .

Mathematical Equivalence

ON

Tags

CCSS.8.G.A.5

If triangle ABC is equilateral, solve for x. Angle at C is labeled (8x − 44)°. State the value of x.

• x = 11

• x = 12

• x = 13

• x = 14

Tags

CCSS.HSG.CO.C.10

If triangle RST is isosceles with base angles marked equal, the angle at T measures (9x + 11)° and the other base angle measures (15x − 31)°. Find m∠S.

• m∠S = 28°

• m∠S = 32°

• m∠S = 36°

• m∠S = 40°

Tags

CCSS.HSG.CO.C.11

In triangle PQR, m∠P is 14 less than five times x, m∠Q is five less than x, and m∠R is nine less than twice x. Find x and the measure of each angle.

• x = 24; m∠P = 106°, m∠Q = 19°, m∠R = 55°

• x = 25; m∠P = 111°, m∠Q = 20°, m∠R = 49°

• x = 26; m∠P = 116°, m∠Q = 21°, m∠R = 43°

• x = 27; m∠P = 121°, m∠Q = 22°, m∠R = 37°

Tags

CCSS.8.G.A.5

In triangle JKL, m∠J is seven less than m∠L and m∠K is 21 less than twice m∠L. Find the measure of each angle.

• m∠J = 45°, m∠K = 83°, m∠L = 52°

• m∠J = 48°, m∠K = 78°, m∠L = 54°

• m∠J = 43°, m∠K = 85°, m∠L = 52°

• m∠J = 50°, m∠K = 80°, m∠L = 50°

Tags

CCSS.8.G.A.5

In triangle BCD, BC ≅ BD, m∠B = (13x − 35)°, m∠C = (5x − 19)°, and m∠D = (2x + 14)°. Find x and the measure of each angle.

• x = 10; m∠B = 95°, m∠C = 31°, m∠D = 54°

• x = 11; m∠B = 108°, m∠C = 36°, m∠D = 36°

• x = 12; m∠B = 121°, m∠C = 41°, m∠D = 18°

• x = 9; m∠B = 82°, m∠C = 26°, m∠D = 72°

Tags

CCSS.HSG.CO.C.11

In triangle WXY, ∠X ≅ ∠Y, WX = 9x − 11, XY = 4x + 1, and WY = 7x − 3. Find x and the measure of each side.

• x = 3; WX = 16, XY = 13, WY = 18

• x = 4; WX = 25, XY = 17, WY = 25

• x = 5; WX = 34, XY = 21, WY = 32

• x = 6; WX = 43, XY = 25, WY = 39

Tags

CCSS.HSG.CO.C.9