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American National Curriculum

High School

Geometry

High School Geometry Questions asked by Filo students

Question 81

A circle has the equation

x^{2} + y^{2} + x + 6 y + 9 = 0

(a) Find the center $(h, k)$ and radius $r$ of the circle.
(b) Graph the circle.
(c) Find the intercepts, if any, of the graph.
(a) The center of the circle is (Type an ordered pair, using integers or fractions.)

Topic:

Circles

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Question 82

MODELING REAL LIFE Two flights leave from the same airport. Determine which flight is farther from the airport. Flight 1: Flies 100 miles due west, then turns

2 0^{\circ}

toward north and flies 50 miles. Flight 2: Flies 100 miles due north, then turns

3 0^{\circ}

toward east and flies 50 miles. Flight 1 Flight 2 Explain your reasoning. B

I \underline{U} ⋮ \equiv T^{2} T_{2}

用

Topic:

Parallel and Perpendicular Lines

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Question 83

Use the graph of

△ A BC

with midsegments

\overline{D E}, \overline{EF}

, and

\overline{D F}

. Show that

\overline{EF} ∥ \overline{A C}

and that

EF = \frac{1}{2} A C

. Because the slopes of

\overline{EF}

and

\overline{A C}

are the same

\overline{EF} ∥ \overline{A C} \cdot EF =

and

A C =

Because

= \frac{1}{2} EF = \frac{1}{2} A C .

Topic:

Reasoning and Proofs

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Question 84

Find the missing sides by any methoc. Show your wort.

Topic:

Basics of Geometry

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Question 85

Unit 6 - Day 5 Practice Problems Determine whether the triangles are similar. If so, write a similarity s (NOTE: Make sure to use the "Geometry" keyboard to answer the question)

Topic:

Similarity

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Question 86

5. Find the missing side of the triangle. Round to the nearest tenth. Show work.

Topic:

Right Triangles and Trigonometry

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Question 87

Find the scale factor of the dilation of Figure A (preimage) to Figure B (image).

k =

Topic:

Similarity

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Question 88

Find the coordinates of point

P

along the directed line segment

A B

so that the ratio of

A P

PB

is 5 to 3 .

Topic:

Basics of Geometry

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Question 89

Graph

△ A BC

with vertices

A (2, 3), B (2, 0)

, and

C (3, 2)

and its image after a

9 0^{\circ}

clockwise rotation about the origin and a reflection in the

y

-axis.

Topic:

Basics of Geometry

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Question 90

A dog park is being built near your school. The four vertices of the dog park can be represented on the coordinate plane at the following points:

(0, 0), (6, 0), (6, 4), (3, 4)

Part A: Connect the four vertices of the dog park on the coordinate grid to show the shape of the park. Part B: Each square unit on the coordinate gird measures 10 yards by 10 yards. What is the perimeter of dog park? yards

Topic:

Basics of Geometry

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Question 91

In the diagram below,

\overline{A B} ∥ \overline{D EF}, \overline{A E}

and

\overline{B D}

intersect at

C, m ∠ B = 4 3^{\circ}

, and

m ∠ CEF = 15 2^{\circ}

. Which statement is true?

$m ∠ D = 2 8^{\circ}$
$m ∠ A = 4 3^{\circ}$
$m ∠ A C D = 7 1^{\circ}$
$m ∠ BCE = 10 9^{\circ}$

Topic:

Basics of Geometry

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Question 92

In the diagram below,

\overline{F A D} ∥ \overline{E H C}

, and

\overline{A B H}

and

\overline{BC}

are drawn. If

m ∠ F A B = 4 8^{\circ}

and

m ∠ ECB = 1 8^{\circ}

, what is

m ∠ A BC

$1 8^{\circ}$
$4 8^{\circ}$ ::, $6 6^{\circ}$
$11 4^{\circ}$

Topic:

Parallel and Perpendicular Lines

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Question 93

b) Are the figures similar? Use scale factor to find out:

Topic:

Similarity

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Question 94

You are shown

∠ U VW

below whose measure is

8 6^{\circ}

. Draw an angle bisector of

∠ U VW

by clicking a dragging a ray out from the vertex at

V

. Click and drag to draw a ray from the yellow dot. To redraw, click and drag from the yellow dot again.

m ∠ UW = 8 6^{\circ} m ∠ UVX = 4 3^{\circ} m ∠ WVX = 4 3^{\circ}

Topic:

Congruent Triangles

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Question 95

Find the coordinates of the centroid of the triangle with the given vertices.

X (- 3, 3), Y (1, 5), Z (- 1, - 2)

The centroid is

(- 1, 2)

Topic:

Parallel and Perpendicular Lines

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Question 96

ZX

is the perpendicular bisector of

\overline{WY}, W Z = 4 n - 13

, and

Y Z = n + 17

. Find

Y Z

Y Z = 27

Topic:

Parallel and Perpendicular Lines

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Question 97

Tell whether the orthocenter of

△ X Y Z

with vertices

X (- 1

, - 4),

Y (7, - 4)

, and

Z (7, 4)

is inside, on, or outside the triangle. Inside On - Outside Find the coordinates of the orthocenter. The orthocenter is

(15, - 4)

. Previous

Topic:

Parallel and Perpendicular Lines

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Question 98

What is the area of this figure? Write your answer using decimals. Use

3.14

for

π

. square inches

Topic:

Circumference,Area, and Volume

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Question 99

Watch help video The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.

Topic:

Similarity

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Question 100

Using the diagram shown, are the shapes congruent? If so, what transformation maps JKLM onto QRST?

No, the shapes are not congruent.
Yes, rotation 90 degrees clockwise about the origin.
Yes, translation along the vector $⟨ 4, 0 ⟩$ .
Yes, reflection in the $y$ -axis.
Yes, reflection in the $x$ -axis.

Topic:

Basics of Geometry

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High School Geometry Questions asked by Filo students

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