Geometry 6.1 - 6.3 Review | Baamboozle - Baamboozle

English 15 Public

Polygon angle sums, parallelograms

Study Slideshow

In the parallelogram DEFG, find the value of x.

x = 8

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In the parallelogram KLMN, find the measure of angle N.

46 degrees

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In the given parallelogram, solve for x.

x = 9

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Can you prove the quadrilateral is a parallelogram using the given information? Explain.

No. Only one pair of opposite angles are congruent.

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In the given parallelogram, find the measure of angle R.

135 degrees

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Find the length of RP.

39.6

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Find the measure of the indicated angle.

63 degrees

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In the given parallelogram, find the measure of angle Y.

100 degrees

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What is the equation of the diagonals for parallelogram ABCD in slope-intercept form? Given vertices: A(1, 5), B(7, 9), C(3, -1), D(-3, -5)

Diagonal AC: 𝑦 = − 3 𝑥 + 8 y=−3x+8 Diagonal BD: 𝑦 = 1.4 𝑥 − 0.8 y=1.4x−0.8

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The vertices of quadrilateral QRST are Q(2, 3), R(6, 7), S(10, -1), T(6, -5). Determine the most precise classification of QRST as a parallelogram, rectangle, rhombus, or square.

Parallelogram (most precise classification).

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Find 𝑚 ∠ 𝐴 𝐵 𝐶 m∠ABC. In quadrilateral ABCD, two angles are given: 𝑚 ∠ 𝐵 𝐶 𝐷 = ( 5 𝑥 + 10 ) ∘ m∠BCD=(5x+10) ∘ 𝑚 ∠ 𝐷 𝐴 𝐵 = ( 3 𝑥 + 20 ) ∘ m∠DAB=(3x+20) ∘ Given that ABCD is a parallelogram, find 𝑚 ∠ 𝐴 𝐵 𝐶 m∠ABC.

𝑚 ∠ 𝐴 𝐵 𝐶 = 93.75 ∘ m∠ABC=93.75 ∘ .

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If 𝑃 𝑄 = 50 PQ=50 and 𝑅 𝑆 = 18 RS=18, find 𝑃 𝑅 PR. In quadrilateral PQRS, diagonals intersect at point M. Given that 𝑃 𝑄 = 50 PQ=50 and 𝑅 𝑆 = 18 RS=18, use the properties of diagonals of a parallelogram to find 𝑃 𝑅 PR.

𝑃 𝑅 = 50 PR=50.

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Find the equations of the diagonals for parallelogram ABCD in slope-intercept form. Given the vertices: 𝐴 ( 1 , 5 ) , 𝐵 ( 7 , 9 ) , 𝐶 ( 3 , − 1 ) , 𝐷 ( − 3 , − 5 ) A(1,5),B(7,9),C(3,−1),D(−3,−5) Find the equations of the diagonals 𝐴

Diagonal AC: y=−3x+8 Diagonal BD: 𝑦 = 7 5 𝑥 − 4 5 Diagonal BD: y= 5 7 x− 5 4

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The vertices of PQRS are 𝑃 ( − 2 , 4 ) P(−2,4), 𝑄 ( 6 , 8 ) Q(6,8), 𝑅 ( 10 , − 2 ) R(10,−2), and 𝑆 ( 2 , − 6 ) S(2,−6). Determine the most precise classification of quadrilateral PQRS: parallelogram, rectangle, rhombus, or square.

Since 𝑃 𝑅 ≠ 𝑄 𝑆 PR  =QS, PQRS is a parallelogram, but not a rectangle or rhombus. Final Classification: Parallelogram Parallelogram

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Find 𝑚 ∠ 𝑋 𝑌 𝑍 m∠XYZ. In quadrilateral XYZW, two angles are given: 𝑚 ∠ 𝑊 𝑋 𝑌 = ( 7 𝑥 + 15 ) ∘ m∠WXY=(7x+15) ∘ 𝑚 ∠ 𝑌 𝑍 𝑊 = ( 5 𝑥 + 25 ) ∘ m∠YZW=(5x+25) ∘ Given that XYZW is a parallelogram, find 𝑚 ∠ 𝑋 𝑌 𝑍 m∠XYZ.

m∠XYZ=83.35 ∘

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