Unit 6 Review

Unit 6

Geometry in the

Coordinate Plane

Review

By MEGHAN CARLSON

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​Parallel lines

Perpendicular Lines​

Obtuse/Acute Triangle Theorems

Area (formulas)

Perimeter​

Distance Formula

Mid-Point Formula

Pythagorean Theorem

Converse of the Pythagorean Thm​

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Topics

Geometry in the Coordinate Plane

Study these topics, flashcards, rewrite notes...

Fill in the Blank

Find the midpoint of the segment GH.

G (2,7) and H (10,3)

Fill in the Blank

The midpoint M of GH has coordinated (5,6), point H has coordinates (2,3). Find the coordinates of point G.

Fill in the Blank

Find the distance between points (9,10) and (9,4)

Fill in the Blank

Find the distance between the points (6,3) and (2,6).

Write your answer as a whole number or a fully simplified radical expression. Do not round.

Fill in the Blank

Find the distance between the points (-3,2) and (-8,-10).

Write your answer as a whole number or a fully simplified radical expression. Do not round.

Multiple Choice

What is the length of c?

• 26

• 2 $$\sqrt[]{13}$$  

• 52

• 13 $$\sqrt[]{2}$$  

Multiple Choice

Find the length of the missing side.

• 63

• $$4\sqrt[]{3}$$  

• $$\sqrt[]{63}$$  

• $$15\sqrt[]{3}$$  

Fill in the Blank

Ben ran from one corner of a field to the opposte corder, a distance of 85 meters. Then he ran along the length, a distance of 75 meters. How wide is the field?

Open Ended

Is this a right triangle? Why?

Multiple Select

Select all the right triangles.

• 2,4,6

• 3,4,5

• 5,12,13

• 2,2, $$2\sqrt[]{2}$$  

Multiple Choice

Is this triangle right, obtuse or acute?

• Right

• Obtuse

• Acute

Multiple Choice

Is this triangle right, obtuse or acute?

• Right

• Obtuse

• Acute

Draw

Graph 2 parallel lines. Line A through the origin and Line B through point (1,3).

Draw

Graph 2 perpendicular lines.

Line A is y=2x+1

Line B must go through point (1,-2)

Multiple Choice

Are these lines parallel, perpendicular or neither?

$$y=2x+3$$   $$y-1=2\left(x-5\right)$$  

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are these lines parallel, perpendicular or neither?

y=4x+1

4x+16y=8

• Parallel

• Perpendicular

• Neither

Fill in the Blank

Find the area of the figure?

Fill in the Blank

Find the perimeter of the figure?

Round to the nearest 10th.

Fill in the Blank

Find the area of triangle ABC?

Round to the nearest 10th if necessary.