To draw line HI perpendicular to JK we need to follow the given steps:
Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.
From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.
Use your ruler to join the given point (H) to the point where the arcs intersect (I).
HI is perpendicular to JK.
What is perpendicular?
Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.
Properties of Perpendicular Lines
- These lines always intersect at right angles.
- If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
- Adjacent sides of a square and a rectangle are always perpendicular to each other.
- The sides of the right-angled triangle enclosing the right angle are perpendicular to each other.
To learn more about perpendicular lines,
brainly.com/question/1202004
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Answer:
RST Is congruent to R’’S’’T’’
Angle R is congruent to angle R prime is congruent to angle R double-prime
TS Is congruent to T’S’ Is congruent to T’’S’’
Step-by-step explanation:
we know that
A reflection and a translation are rigid transformation that produce congruent figures
If two or more figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
Triangles RST, R'S'T and R''S''T'' are congruent
That means
Corresponding sides
RS≅R'S'≅R''S''
ST≅S'T'≅S''T''
RT≅R'T'≅R''T''
Corresponding angles
∠R≅∠R'≅∠R''
∠S≅∠S'≅∠S''
∠T≅∠T'≅∠T''
therefore
RST Is congruent to R’’S’’T’’
Angle R is congruent to angle R prime is congruent to angle R double-prime
TS Is congruent to T’S’ Is congruent to T’’S’’
For a triangle 30-60-90,
If shorter leg is x, then hypotenuse is 2x.
So, if shorter leg is 4,
then hypotenuse is 2*4 = 8.
Answer is 8.
