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Angles Triangles Congruent& Similar

ProportionsWith

Similar

Trans- formations

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Polygons

This type of angle is greater than

90°.

What is an obtuse angle?

The angle measures are 48°

and 42°.

What are complementary

angles?

The measure is equal to 139°.

41°14

2

What is the measure of angle

1 or angle 3?

This angle measure equals 95°.

1 50°

345

6

145°

What is angle 1 or angle 4?

This forms an equation to find the value of x.

x° 5x°

1 2

What is x°+5x°=180°?

This type of triangle has two congruent sides.

What is an isosceles triangle?

This is the measure of angle

x.x°

20° 55°

What is 105°?

These angles are the exterior angles

of the triangle.1

2

3

456

What are angles 1, 4, and 6?

This reasoning explains why a right triangle

containing a 100° angle is not

possible.

What is it would have the sum of the angles greater than

180°?

These are the values of the variables.

a°

b° 54°

What is a=72 and b=54?

This type of polygon has seven

sides.

What is a heptagon?

This type of polygon has all sides equal in length and all angles equal in

measure.

What is a regular polygon?

This is the perimeter and sum of the angle

measures of the regular octagon below.

5.6 in

What is 44.8 in for the perimeter and

1080°?

This identifies the shape below.

What is a regular heptagon?

These values tell us the measures of an

individual side and angle of a regular

decagon with a perimeter of 250 feet.

What is 25 feet and 144°?

These polygons have the same size

and shape.

What are congruent polygons?

Knowing, ∆ABC is congruent to ∆XYZ, this is the value of the angle

with value t°.A

BC X

Y

Z

38°42°t°

100°?

?

What is 100?

These are the corresponding sides of the congruent quadrilaterals

ABCD and WXYZ.A B

CD

W

XY

Z

What is AB with WX, BC with XY, CD with YZ, and

AD with WZ?

This is the length of the LM side of a figure with a ratio to the figure below of

2:5 (ABCD ~ LMNO).

D

A

B

C

4 cm

6.1 cm

5.2 cm

9.4 cm

What is 10 cm?

Two rhombuses are ? similar.

Always, sometimes, or never

What is sometimes?

When finding a missing side in

similar polygons we use this.

What is a proportion?

These trapezoids are similar or not similar,

and this is why.A B

CD

E F

What is not similar because the ratios

for the all sides except DC will be <

1, while the ratio for DC=1?

This is the error in finding the unknown length x of the

similar polygons.B

A

C

D15 in

12 in

F G

HE

x

6 in

What is the 6 and the 15 should be

flipped?

This value tells the height of a tree when a person who is 5.5 ft tall stands

next to a tree and casts a shadow of 2 ft long, while the tree casts a shadow 8

ft long.

What is 22 ft?

This value tells the width of an enlarged photo when a photo with

dimensions of 5 in wide and 7 in long is enlarged and has a length of 24.5

in.

What is 17.5 inches?

When an object can be turned 180° or less and fits on the original image

it has this property.

What is rotational symmetry?

This is the number of lines of symmetry in

the object below.

What is 4 lines of symmetry?

This is the coordinate notation to describe a slide 5

units to the left and 1 unit up.

What is (x, y)→(x-5, y+1)?

These are the coordinates of a pentagon with coordinates

A(2,5), B(-1,6), C(-4,2), D(-2,3), and E(1,4) once the pentagon has been reflected

over the y-axis.

What are A’(-2,5), B’(1,6), C’(4,2),

D’(2,3), and E’(-1,4)

This describes what happens to the

coordinates put through the following coordinate

notation: (x, y)→(-x, -y+2)

What is: a reflection about the

y-axis, another reflection about the x-axis, and finally a shift two units up?

Make your wager

Starting with the vertices of a triangle at A(2,3)

B(5,6) and C(-2, 1) these are the coordinates after a reflection about the x-axis then a slide to the right 2 units and up 3

units.

What is A’=(4,0), B’=(7,-3), and

C’=(0,2)?