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Geometry Test Ch. 1 Review

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Instructions Sample questions will be shown on each slide.

Try the question on scratch paper. Click on the screen and the correct work and answer will appear.

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Give another name for plane T. (Any 3 noncollinear points. EX: ABD)

2. Name a point that is not contained in lines q or m. D 3. Name the intersection of lines q and n. C C • n D • E • F • B • A • q m T

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Find the value of the variable and VW if V is between U and W.

UV = 4p VW = 5p UW = 42 Variable: UV + VW = UW 4p-3 + 5p = 42 9p – 3 = 42 9p = 45 p = 5 VW: VW = 5p 5(5) 25

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Find the coordinates of the midpoint having the given endpoints.

A(-4,-4), B(-2,2) X-coordinate midpoint: 𝑥+𝑥 2 = −4+(−2) 2 = −6 2 = -3 Y-coordinate midpoint: 𝑦+𝑦 2 = −4+2 2 = −2 2 = -1 Final Answer: (-3, -1)

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Find the distance between the endpoints.

G(5,2) H(-2, 8) Distance formula= (𝑥−𝑥) 2 + (𝑦−𝑦) 2 = (5−(−2)) 2 + (2−8) 2 = (7) 2 + (−6) 2 = = 85 ≈ 9.2

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Refer to the figure to answer the questions.

Name the vertex of angle 6. C Name the sides of angle 4. 𝐸𝐶 𝑎𝑛𝑑 𝐸𝐷 3. Write another name for ∠ 7. ∠ABD or ∠ABE Write another name for ∠𝐴𝐷𝐸. ∠9 E 4 1 9 D C 6 A 7 B

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Refer to the figure. Name a linear pair. EX: ∠AFE and ∠ AFB Name a pair of vertical angles. EX: ∠EFD and ∠AFB Name an angle supplementary to ∠AFB. EX: ∠ BFD Name a pair of complementary angles. ∠CFD and ∠DFE A E F B D C

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The measures of two supplementary angles are (4r + 7)° and (r – 2) °

The measures of two supplementary angles are (4r + 7)° and (r – 2) °. Find the measures of the variable and the angles. Supplementary = 180° (4r +7) + (r – 2) = 180 5r + 5 = 180 5r = 175 r = 35 4r + 7 = 4(35) + 7 = 147° r – 2 = 35 – 2 = 33°

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Two angles are complementary

Two angles are complementary. One angle measure 26 degrees more than the other. Find the measures of the angles. Complementary = 90° A + B = 90 A = B + 26 (B + 26) + B = 90 2B + 26 = 90 2B = 64 B = 32° A = B +26 = = 58°

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Name the polygon by its number of sides

Name the polygon by its number of sides. Classify it as convex or concave and regular or nonregular. Quadrilateral Convex Regular Decagon Concave Nonregular

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Find the area and perimeter of each figure.

A = ½ L x W A = ½ (3 x 4) = 6m² P = sum of sides Find third side with pythagorean theorem. 3² + 4²=c² c = 5 P = = 12m A = L x W A = 6.5 x 14 = 91ft² P = 2L + 2W P = 2(6.5) + 2(14) P= = 41ft 6.5ft 4m 14ft

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Find area and circumference.

A =𝜋 x r2 A =𝜋 x (5.3)2 A = 𝜋 x A = m2 C = 2𝜋r C = 2𝜋 5.3 C = 33.3 m 5.3 m

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